[pt] Este estudo propõe a apresentação de um modelo de multimeios, denominado CAPA, capaz de analisar e comparar um elenco de 39 pesticidas num ambiente pré-determinado sob regime estacionário. O CAPA (Calculadora para Avaliação de Pesticidas no Ambiente) foi desenvolvido baseado no modelo ESTAC FATE (desenvolvido pelo Canadian Environmental Modelling Centre,Trent University, Canadá ). O modelo funciona no Excel, é programado em Visual Basic, usa a fugacidade como critério de equilíbrio e avalia os pesticidas em três diferentes níveis: Nível 1 (equilíbrio), Nível 2 (equilíbrio com entradas e saídas advectivas e reativas) e Nível 3( sem equilíbrio com entradas e saídas advectivas e reativas e transporte difusivo entre meios). Cada pesticida é comparado com os demais em função dos fatores de bioacumulação (FBA),Persistência (P), Toxicidade (T) e Transporte de Longo Alcance (TLA). / [en] This study proposes the presentation of a multimedia model, named CAPA, which is able to evaluate and compare a collection of 39 pesticides in a predetermined environment under steady state. The CAPA (Calculadora para Avaliação de Pesticidas no Ambiente) was based in the ESTAC FATE model (originally developed by the Canadian Environmental Modelling Centre, Trent University, Canada). The model works in Excel, is programmed in Visual Basic, assumes fugacity as the equilibrium criterion and evaluates the pesticides in three different levels: Level 1 (equilibrium), Level 2 (equilibrium with advective and reative input and output) and Level 3 (no equilibrium with advective and reative input and output and diffusive transport between media). Each pesticide is also compared with the others as a function of the bioaccumulation fator, persistence, toxicity and long range transport.

Les particules d'aérosol sont importantes en raison de leurs impacts directs et indirects sur le climat. Dans la couche limite (CL), ces particules ont une durée de vie relativement courte en raison de leur élimination fréquente par dépôt humide. En revanche, lorsque les aérosols sont transportés dans la troposphère libre (TL), leur durée de vie dans l'atmosphère augmente de manière significative, ce qui les rend représentatifs de vastes zones spatiales. Dans le cadre de ces travaux de thèse, nous avons utilisé une combinaison de mesures in situ effectuées à la station PUY (Puy de Dôme, 45 ° 46 'N, 2 ° 57'E, 1465 m d'altitude), ainsi que des profils LIDAR obtenus depuis Clermont-Ferrand pour identifier les conditions de TL et caractériser davantage les propriétés physiques et chimiques des aérosols dans cette zone de l'atmosphère peu documentée. Dans un premier temps, une combinaison de quatre critères a été utilisée pour déterminer le positionnement de la station PUY en TL ou en CL. Les résultats montrent que la station est située en CL avec des fréquences allant de 50% en hiver à 97% en été. Cette classification a ensuite été utilisée pour évaluer, sur un an de mesures, les différences qui existent entre la TL et la CL en termes de caractéristiques physique (distribution en taille) et chimique (fraction non réfractaire) de l’aérosol, et vis-à-vis des concentrations en carbone suie (BC). Sur la base de cette ségrégation, nous avons observé pour la plupart des saisons que les concentrations en particules des modes Aitken et accumulation ainsi que la concentration en BC sont plus élevées dans la CL que dans la TL. Cette observation est cohérente avec le fait que la majorité des sources d’aérosol sont situées dans la CL. Au contraire, des concentrations plus élevées en particules dans les modes Aitken et accumulation (notamment organiques) et en BC sont observées en TL au printemps. Ces aérosols organiques ont été identifiés comme étant âgés / moins âgés ; ils coïncident avec la présence de fortes concentrations en sulfate et en BC et sont probablement originaires de processus de combustion de biomasse, à la suite desquels ils sont directement injectés en TL sous l’effet d’une convection thermique intense. Aucune différence significative entre les concentrations de CL et de TL n'a été observée pour les particules du mode nucléation, et ce quelle que soit la saison, ce qui suggère une source supplémentaire continue de particules du mode nucléation dans la TL en hiver et en automne. Les concentrations en particules du mode grossier sont en revanche plus élevées dans la TL que dans la CL pour toutes les saisons, et en particulier en été. Cela indique un transport longue distance efficace des grosses particules dans la TL depuis des sources lointaines (marines et désertiques), probablement favorisé par les vitesses de vent accrues dans la TL par rapport à la CL. Nous avons ensuite calculé les rétro-trajectoires des masses d'air que nous avons combinées aux estimations de hauteur de couche limite du modèle ECMWF ERA-Interim pour estimer le temps passé par les masses d’air dans la TL depuis leur dernier contact avec la CL, et pour évaluer l'impact de ce paramètre sur les propriétés des aérosols. Nous avons observé que même après 75 heures sans aucun contact avec la CL, les aérosols de la TL conservent les propriétés spécifiques du type de masse d'air auquel ils appartiennent. Ce manuscrit présente également une étude des mesures simultanées au PUY et à une station urbaine à basse altitude, AtmoAura. Les résultats montrent que lorsque le PUY est en TL, les concentrations des PM1 (particules de diamètre inférieur à 1 µm) sont plus faibles au PUY qu’à AtmoAura, ce qui confirme notre classification. Lorsque le PUY est en CL, la composition en aérosol est similaire pour les deux sites, ce qui a permis de quantifier la contribution de la pollution urbaine locale issue de la ville de Clermont-Ferrand. / Aerosol particles are important due to their direct and indirect impacts on climate. Within the planetary boundary layer (BL), these particles have a relatively short lifetime due to their frequent removal process by wet deposition. When aerosols are transported into the free troposphere (FT), their atmospheric lifetime increases significantly, making them representative of large spatial areas. In this work, we use a combination of in situ measurements performed at the high altitude PUY (Puy de Dôme, 45°46’ N, 2°57’E, 1465 m asl) station, together with LIDAR profiles at Clermont-Ferrand for characterizing FT conditions, and further characterize the physical and chemical properties of aerosol in this poorly documented area of the atmosphere. First, a combination of four criteria was used to identify whether the PUY station lies within the FT or within the BL. Results show that the PUY station is located in BL with frequencies ranging from 50% during the winter, up to 97% during the summer. Then, the classification is applied to a year-long dataset of particle size distribution and NR-PM1 data’s to study the differences in particle physical and chemical characteristics and BC concentrations between the FT and the BL. Based on this segregation, we observed higher concentrations in the BL compared to FT for BC, Aitken and accumulation mode particle concentrations for most seasons, as expected from larger sources originating from the surface. However, BC, Aitken mode, accumulation mode and organic aerosols concentrations were higher in the FT compared to BL during spring. These organic aerosols were identified as aged/less aged, and were correlated with sulphate and BC and we suspect that the higher concentrations of particles observed in the FT compared to BL during spring originate from direct injection of BB aerosols in the FT through strong heat convection. No significant difference between the BL and the FT concentrations was observed for the nucleation mode particles for all seasons, suggesting a continuous additional source of nucleation mode particles in the FT during winter and autumn. Coarse mode particle concentrations were found higher in the FT than in the BL for all seasons and especially during summer. This indicates an efficient long-range transport of large particles in the FT from distant sources (marine and desert) due to higher wind speeds in the FT compared to BL. For FT air masses, we used 204-h air mass back-trajectories combined with boundary layer height estimations from ECMWF ERA-Interim to assess the time they spent in the FT since their last contact with the BL and to evaluate the impact of this parameter on the aerosol properties. We observed that even after 75 h without any contact with the BL, FT aerosols preserve specific properties of their air mass type. This manuscript is also presenting a study of simultaneous measurements at PUY and an urban low altitude station AtmoAura. Results show that when the PUY is influenced by FT air masses, the PM1 species are lower at the PUY compared to AtmoAura confirming our classification. When the PUY is predicted to lay within the BL, the aerosol composition was similar among the two sites for several species, which allowed for a quantification of the local urban pollution contribution for the species enhanced within the city of Clermont-Ferrand.

Dans le cadre de cette thèse, nous nous intéressons à ”l’exposant de Lyapu-nov” pour deux modèles en milieu aléatoire : la marche aléatoire en potentiel aléatoire, le mouvement brownien en potentiel poissonnien.Dans la première partie de la thèse (chapitre II), on étudie une marche aléatoire dans un potentiel aléatoire donné par une famille de variables aléa¬toires i.i.d. non-négatives. La continuité des exposants de Lyapunov par rap¬port à la loi du potentiel est démontrée dans le cas transient, c’est-à-dire en dimension d ≥ 3 ou en dimension 2 pour un potentiel borné inférieurement. On poursuit avec l’étude des exposants critiques : l’exposant de volume ξ et l’exposant de fluctuation X. On obtient l’une des inégalités suggérée par la conjecture de KPZ sous une condition de courbure de la forme asymptotique. Les exposants de Lyapunov jouent un rôle important dans cette étude.La deuxième partie de la thèse (chapitre III) est surtout consacrée à l’étude du brownien dans un potentiel aléatoire de longue portée. On débute cependant par un potentiel classique à portée finie. Sznitman (1987-1998) a étudié plusieurs aspects de ce modèle. Un premier résultat de cette partie est la continuité des exposants de Lyapunov par rapport au paramètre du pro¬cessus de Poisson. On étudie ensuite le modèle proposé par Lacoin (2012) qui est un modèle avec un potentiel à longue portée. Il a obtenu des estimations des exposants critiques sensiblement différentes de celles de Wüthrich (1998) pour le modèle de Sznitman. Dans cette thèse, on poursuit l’étude du modèle de Lacoin. On montre l’existence des exposants de Lyapunov, le théorème de la forme limite et une estimation de grandes déviations. / In this thesis, we are interested in Lyapunov exponent for two models in random media : random walk in random potential, Brownian motion in Poisson potential.In the first part (chapter II), we study a random walk in a random potential given by a family of i.i.d random non-negative variables. The continuity of Lyapunov exponents with respect to the law of potential is shown in the case transient, that is, in the dimension d ≥ 3 or in the dimension d = 2 for a lower bounded potential. Next, we consider the critical exponents : the exponent of volume ξ and the exponent of fluctuation X. We give an inequality suggested by the KPZ conjecture under a condition of asymptotic form. Lyapunov exponents play an important role in this work.The second part (chapter III) is mainly devoted to the study Brownian motion in a long-range random potential. However, we begin with a classical finite-range potential. Sznitman (1987-1998) investigated several aspects of this model. The first result of this part is the continuity of the Lyapunov exponents with respect to the parameter of the Poisson process. Then, we study the model proposed by Lacoin (2012) which is a long-range potential model. He obtained some estimations of critical exponents that are significantly different from those of Wüthrich (1998) for the model of Sznitman.In this thesis, we pursue the study of Lacoin model. We show the existence of Lyapunov exponents, the shape limit theorem and an estimation of large deviations

Neste trabalho estudamos a existência de ordem de longo alcance em modelos ferromagnéticos na presença de um campo externo cuja configuração apresenta um padrão tipicamente aleatório. Provamos por meio do argumento de Peierls modificado por Griffiths para o estudo de um antiferromagneto, que o modelo de Ising ferromagnético bidimensional exibe, para um campo alternado de intensidade fraca, ordem de longo alcance `a temperatura finita. Propomos dar um passo além considerando campos auto-similares esparsos, cuja soma é nula em todas as escalas. Estudamos também o modelo hierárquico em duas dimensões, para o qual provamos a existência de ordem de longo alcance a temperatura finita, na ausência de campo externo e para um campo com regiões irregulares esparsas. Provamos que os resultados do modelo de contornos hierárquicos são equivalentes aos resultados do modelo hierárquico em duas dimensões. Por fim, provamos através do método do limite infravermelho existência de ordem de longo alcance no modelo N-vetorial com campo alternado, de intensidade fraca, para d >= 3, sob a hipótese de que a variância do estado associado `a interação com o campo apresenta cardinalidade inferior a do volume do sistema. Mostramos, sob hipóteses similares, que o modelo N-vetorial hierárquico com campo externo, esparso e de intensidade pequena, apresenta ordem de longo alcance a baixas temperaturas. / In this work we study the existence of long range order for ferromagnetic models in the presence of an external field whose configuration has a pattern typically random. We prove, via the Peierls\' argument modified by Griffiths in his study of an antiferromagnet, that the two dimensional ferromagnetic Ising model for a staggered field exhibits long-range order at finite temperature and small field intensity. We propose to give a further step considering sparse self similar fields, whose sum is zero in all scales. We study as well the hierarchical model in two dimensions, where we prove existence of long-range order at finite temperature in the absence of external field and for a field configuration with sparse irregular regions. We prove that the results for the two-dimensional hierarchical contours model are equivalent to the results of the hierarchical model in two dimensions. Lastly, we prove via infrared bound method, existence of long range order in the N-vector model with a staggered and weak external field for d >= 3, under the hypothesis that the variance of the state connected with the field interaction has cardinality lower than volume. We show, under similar hypotheses, that the N-vector hierarchical model with a sparse field of low intensity has long range ordem at low temperatures.

La fonctionnalisation C(sp3)-H catalysée par des métaux de transitions, ouvre de nombreuses perspectives en synthèse organique, permettant des voies d'accès plus économes en atomes, et en étapes à des molécules à forte valeur ajoutée. Dans cette optique, une méthode efficace permettant l'arylation des liaisons C(sp3)-H en position α d'un groupement attracteur, plus communément appelée α -arylation a récemment fait l'objet d'une attention toute particulière de la part de la communauté scientifique. Le travail détaillé dans ce manuscrit décrit les dernières avancées de cette méthodologie, ainsi qu'une variante «β-arylation » développée au laboratoire qui constitue une évolution significative dans le domaine de l'arylation regiosélective des liaisons C(sp3)-H non activées. Dans le cadre de ce projet de thèse nous nous sommes efforcés de développer cette nouvelle réaction que nous avons pu optimiser pour l'étendre à une famille plus étendue de substrats de type amino-esters. Dans la continuité de ce travail nous avons réalisé la première réaction d'arylation migratoire sélective d'amino-esters pouvant aller jusqu'à la position η d'une chaîne alkyle linéaire. Enfin, dans le but d'accéder à de nouvelles molécules à plus haute valeur ajoutée, nous avons pu appliquer notre méthodologie aux acetals de cétènes silylés permettant de dépasser certaines limitations du système existant. Dans ce cas précis, des conditions plus douces (sans base forte) ont permis l'arylation de substrats dits sensibles et par extension la synthèse de lactones fonctionnalisées / The transition metal catalysed functionalization of C(sp3)-H bonds unlocks numerous perspectives within organic synthesis in terms of atom economical access routes to otherwise difficult to synthesise molecules. One efficient method to exact such transformations involves the exploitation of an activated C-H bond situated adjacent to an activating electron withdrawing group, allowing facile insertion of a transition metal catalyst species and subsequent functionalization with a new species (normally an aryl group). This strategy is generally termed ‘α-functionalization’. The work detailed within this manuscript describes a diversion from the classic, and well documented α-functionalization reaction, in which rearrangement steps within the catalytic cycle give rise to β- and more remote substrate functionalization. The first new methodology to be described involves a fundamental extension to the in-house developed β-arylation reaction, in which, through careful substrate and ligand choice, this methodology could be applied to achieve the functionalization of simple ester enolates in remote γ- to η - positions. The developed strategy allowed the synthesis of a small range of interesting homophenylalanine analogues, and higher homologues. The second methodology to be described involves a necessary modified protocol for the β-arylation reaction, in which silyl ketene acetals were exploited as mild metal-enolate surrogates, allowing the coupling of base-sensitive substrates. The previously described reaction scope has been extended in terms of both the electrophile and nucleophile coupling partners through the development of mild reaction conditions, which subsequently allowed application of several products towards the synthesis of lactones

<p>This thesis, consisting of three papers and a summary, studies topics in the theory of stochastic processes related to long-range dependence. Much recent interest in such probabilistic models has its origin in measurements of Internet traffic data, where typical characteristics of long memory have been observed. As a macroscopic feature, long-range dependence can be mathematically studied using certain scaling limit theorems. </p><p>Using such limit results, two different scaling regimes for Internet traffic models have been identified earlier. In one of these regimes traffic at large scales can be approximated by long-range dependent Gaussian or stable processes, while in the other regime the rescaled traffic fluctuates according to stable ``memoryless'' processes with independent increments. In Paper I a similar limit result is proved for a third scaling scheme, emerging as an intermediate case of the other two. The limit process here turns out to be a non-Gaussian and non-stable process with long-range dependence.</p><p>In Paper II we derive a representation for the latter limit process as a stochastic integral of a deterministic function with respect to a certain compensated Poisson random measure. This representation enables us to study some further properties of the process. In particular, we prove that the process at small scales behaves like a Gaussian process with long-range dependence, while at large scales it is close to a stable process with independent increments. Hence, the process can be regarded as a link between these two processes of completely different nature.</p><p>In Paper III we construct a class of processes locally behaving as Gaussian and globally as stable processes and including the limit process obtained in Paper I. These processes can be chosen to be long-range dependent and are potentially suitable as models in applications with distinct local and global behaviour. They are defined using stochastic integrals with respect to the same compensated Poisson random measure as used in Paper II.</p>

This thesis, consisting of three papers and a summary, studies topics in the theory of stochastic processes related to long-range dependence. Much recent interest in such probabilistic models has its origin in measurements of Internet traffic data, where typical characteristics of long memory have been observed. As a macroscopic feature, long-range dependence can be mathematically studied using certain scaling limit theorems. Using such limit results, two different scaling regimes for Internet traffic models have been identified earlier. In one of these regimes traffic at large scales can be approximated by long-range dependent Gaussian or stable processes, while in the other regime the rescaled traffic fluctuates according to stable ``memoryless'' processes with independent increments. In Paper I a similar limit result is proved for a third scaling scheme, emerging as an intermediate case of the other two. The limit process here turns out to be a non-Gaussian and non-stable process with long-range dependence. In Paper II we derive a representation for the latter limit process as a stochastic integral of a deterministic function with respect to a certain compensated Poisson random measure. This representation enables us to study some further properties of the process. In particular, we prove that the process at small scales behaves like a Gaussian process with long-range dependence, while at large scales it is close to a stable process with independent increments. Hence, the process can be regarded as a link between these two processes of completely different nature. In Paper III we construct a class of processes locally behaving as Gaussian and globally as stable processes and including the limit process obtained in Paper I. These processes can be chosen to be long-range dependent and are potentially suitable as models in applications with distinct local and global behaviour. They are defined using stochastic integrals with respect to the same compensated Poisson random measure as used in Paper II.

Macromolecular interactions play very important roles in regulation of all levels of biological processes. Aberrant macromolecular interactions often result in diseases. By applying a combination of spectroscopy, calorimetry, computation and other techniques, the protein-protein interactions in the system of the Shaw2 Kv channel and the protein-RNA interactions in West Nile virus RNA-cellular protein TIAR complex were explored. In the former system, the results shed light on the local structures of the key channel components and their potential interaction mediated by butanol, a general anesthetic. In the later studies, the binding modes of TIAR RRM2 to oligoU RNAs and West Nile virus RNAs were investigated. These findings provided insights into the basis of the specific cellular protein–viral RNA interaction and preliminary data for the development of strategies on how to interfere with virus replication

The hole-doped perovskite manganese oxide such as Ln1-xAxMnO3 (Ln = La, Nd, Pr, and A = Ca, Sr, Ba, Pb) is one of the most studied topics in the recent years due to the observation of colossal magnetoresistance (CMR). Basically, LaMnO3 has an almost insulating behavior and on antiferromagnetic arrangement. By substituting a divalent cation (A2+) in place of La3+, LaMnO3 can be driven into metallic and ferromagnetic state. Mixed valence of Mn 3+ / Mn4+ is needed for both metallic behavior and ferromagnetism in these materials. The CMR characteristic occurs in the ferromagnetic state. A systematic investigation of the structural, magnetic and electrical properties in the perovskite colossal magnetoresistance materials La0.7-xLnxPb0.3Mn1-yMeyO3 (Ln=Pr, Nd and Y, Me=Fe and Co) has presented in this thesis. By subatituting Nd, Pr, Y for the La and Co, Fe for the Mn, the substitution effects on the crystallographic deformation, magnetotransport behavior and electrical properties in these compounds have been studied. According to the results of this research, crystallographic distortion is induced by the substitution of smaller ions, Pr or Nd, onto the La-site. Powder $x$-ray diffraction patterns show a crystallographic transition from rhombohedral symmetry (R-3c) to orthorhombic (Pbnm) crystal structure as the doping content is increased. The increase of deformation from R-3c to Pbnm decreases the bond angle of Mn3+¡ÐO2-¡ÐMn4+ , increases the cant of Mn spin, weakens the double-exchange interaction and results in decrease of ferromagnetism, low ferromagnetic transition temperature Tc, eg electron bandwidth and conductivity. However, the great quantity of decrease in resistivity by an external field leads to the increase in the magnetoresistance ratio. We also find that the increase of saturation magnetization results from the contribution of magnetic ion of Pr or Nd. In addition. in contrast to substitution La by magnetic ion of Pr and Nd, the saturation magnetization is decreased as Y content is increased. The zero-field-cool (ZFC) and field-cool (FC) magnetic measurements indicate that the range of spin ordering for Y one is shorter than Pr one or Nd one with the same doping content. It is because of the small ionic radius of Y, which results in larger distortion, increases the bond angle of Mn3+¡ÐO2-¡ÐMn4+, and corresponds low ferromagnetic transition temperature. The distortion induced by Mn-site substitution is not obvious due to the similar radius of Mn, Co and Fe. Powder x-ray diffraction patterns show a single phase of rhombohedral symmetry (R-3c) for Co doped ststem and a slight crystallographic transition from rhombohedral (R-3c) to orthorhombic (Pbnm) symmetry for Fe doped system. Values of temperature dependence of magnetization indicate that the ferromagnetic double-exchange interaction is gradually substituted by the superexchange interaction. The ZFC-FC curves also indicate that long-range spin ordering is progressively substituted by the short-range spin ordering. The substitution of Mn by Co and Fe supresses the double-exchange interaction, decreases the ferromagnetism and the ferromagnetic transition temperature. Due to the synthesis of the substitution of Nd, Pr, Y for La and Co, Fe for Mn, the mechanism of substitution effects are proved different. The substitution of Nd, Pr and Y for La distorts the crystal, decreases the Mn3+¡ÐO2-¡ÐMn4+ bond angle, and results in the transition of properties, while the substitution of Co and Fe for Mn decrease the percentage of ferromagnetic Mn3+¡ÐO2-¡ÐMn4+. The purpose of this thesis is to clear up the role functions of all elements in these compounds and properties of these compounds. Based on the knowledge of these compounds, it would be helpful to control the physical mechanism and improve the characteristics on preparing their thin film devices.

Μελετάµε χωρικά εντοπισµένες και χρονικά περιοδικές λύσεις σε διακριτά συστήµατα που εκτείνονται σε µία χωρική διάσταση. Αυτού του είδους οι λύσεις είναι γνωστές µε τον όρο discrete breathers (DB) ή intrinsic localized modes (ILM). Στην ελληνική ϐιϐλιογραϕία, έχουν ονοµαστεί ∆ιακριτές Πνοές. Απαραίτητα χαρακτηριστικά για την εµϕάνιση τέτοιων λύσεων είναι η ύπαρξη ενός άνω φράγµατος του γραµµικού φάσµατος καθώς και η µη γραµµικότητα των εξισώσεων κίνησης, χαρακτηριστικά που συναντάµε σε πολλά φυσικά συστήµατα. Συγκεκριμένα, ασχολούµαστε µε πλέγµατα τύπου Klein Gordon και παρουσιάσουµε μια αποδείξη ύπαρξης τέτοιων λύσεων καθώς και αριθµητικά αποτελέσµατα µελετώντας παράλληλα την ευστάθεια των περιοδικών αυτών λύσεων µέσω της ϑεωρίας Floquet. Πέραν του κλασικού µοντέλου, όπου έχουµε αλληλεπιδράσεις πλησιέστερων γειτόνων, εισάγουµε επίσης ένα νέο µοντέλο µε αλληλεπιδράσεις µακράς εµβέλειας η οποία ελέγχεται µέσω µιας παράµετρου α και µελετάµε τις επιπτώσεις που έχει η μεταβολή του εύρους αλληλεπίδρασης στον χωρικό εντοπισµό και την ευστάθεια ενός DB. / We study time-periodic and spatially localized solutions in discrete dynamical systems describing Hamiltonian lattices in one spatial dimension. These solutions are called discrete breathers (DBs) or intrinsic localized modes (ILM). Necessary conditions for their occurrence are the boundedness of the spectrum of linear oscillations of the system as well as the nonlinearity of the equations of motion. More specifically, we focus on a Klein Gordon lattice and present an existence proof for such solutions, as well as numerical results revealing the stability (or instability) of DBs using Floquet theory. Besides reporting on the classical Klein Gordon model with nearest neighbor interactions, we also introduce long range interactions in our model, which are controlled by a parameter α and study the effect of varying the range of interactions on the spatial localization and the stability of a DB.