Nuclear spinodal instabilities are investigated in non-relativistic
and relativistic stochastic mean-field approaches for charge
asymmetric and charge symmetric nuclear matter. Quantum statistical
effect on the growth of instabilities are calculated in
non-relativistic approach. Due to quantal effects, in both symmetric
and asymmetric matter, dominant unstable modes shift towards longer
wavelengths and modes with wave numbers larger than the Fermi
momentum are strongly suppressed. As a result of quantum statistical
effects, in particular at lower temperatures, amplitude of density
fluctuations grows larger than those calculated in semi-classical
approximation.
Relativistic calculations in the semi-classical limit are compared
with the results of non-relativistic calculations based on
Skyrme-type effective interactions under similar conditions. A
qualitative difference appears in the unstable response of the
system: the system exhibits most unstable behavior at higher baryon
densities around $rho_{B}=0.4 rho_{0}$ in the relativistic
approach while most unstable behavior occurs at lower baryon
densities around $rho_{B}=0.2 rho_{0}$ in the non-relativistic
calculations.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12610834/index.pdf |
| Date | 01 August 2009 |
| Creators | Er, Nuray |
| Contributors | Yilmaz, Osman |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | Ph.D. Thesis |
| Format | text/pdf |
| Rights | To liberate the content for public access |
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