Journal article
Phase transitions in nuclear matter described by pseudospin Hamiltonians
Nuclear physics. A, v 301(2)
1978
Abstract
Upper and lower bounds on the ground-state energy per nucleon
E
g
N
and the free energy per nucleon
F(β)
N
are constructed for nuclear systems described by pseudospin Hamiltonians. In the limit of large numbers of nucleons these bounds become equal. A simple algorithm is developed for computing
E
g
N
,
F(β)
N
and
S
N
(entropy per nucleon) exactly in the
N → ∞ limit. The values of
E
g
N
and
F(β)
N
are obtained by computing the minimum value of associated potential functions
h
c and Φ. These potentials are constructed very simply from the pseudospin Hamiltonian. Groundstate energy phase transitions are determined by investigating how the minima of the potential
h
c
change as a function of changing nuclear interaction parameters. Thermodynamic phase transitions are determined by investigating how the minima of the potential Φ change as a function of changing nuclear temperature. Concise conditions are given for the occurrence of a second-order phase transition of either type. These conditions define critical values of the nuclear interaction parameters at which a ground-state energy second-order phase transition occurs and the critical temperature at which a thermodynamic second-order phase transition occurs. A “crossover theorem” relates the occurrence of a ground-state energy phase transition to a thermodynamic phase transition.
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Details
- Title
- Phase transitions in nuclear matter described by pseudospin Hamiltonians
- Creators
- R. Gilmore - Drexel UniversityD.H. Feng - Drexel University
- Publication Details
- Nuclear physics. A, v 301(2)
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1978FF02200001
- Scopus ID
- 2-s2.0-0000401412
- Other Identifier
- 991019173530904721