Monte Carlo simulations are performed to study phase transitions of several systems. The 3D Ising model, the 2D 10-state Potts model, the 3D 3-state Potts model, and the SU(2) and SU(3) lattice gauge theories are considered. / For $L\sp{D}$ block geometries, we calculate the density of states and obtain high precision estimates for the leading partition function zeros. The finite-size scaling analysis of the first zero allows the extraction of the critical exponent $\nu$. For first-order phase transitions, the analysis of the specific heat gives an estimation of the latent heat. For $L\sp{D-1}$ $\infty$ cylindrical geometries, we determine the mass-gap m = 1/$\xi$ ($\xi$ is the correlation length). The finite-size scaling analysis of the mass-gap yields another estimate of the critical exponent $\nu$. The often exploited universality between the SU(2) gauge theory and the 3D Ising model critical exponents is confirmed. Our results show also a consistency between the SU(3) and the 3D 3-state Potts model critical exponent $\nu$. / Source: Dissertation Abstracts International, Volume: 52-10, Section: B, page: 5329. / Major Professor: Bernd A. Berg. / Thesis (Ph.D.)--The Florida State University, 1991.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76529 |
| Contributors | Villanova, Ramon., Florida State University |
| Source Sets | Florida State University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | 129 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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