Abstract
We present a method for making rigorous various arguments which predict that certain situations are unstable because of a balance of energy vs. entropy. As applications, we give yet another proof that the two-dimensional plane rotor has no spontaneous magnetization and we make rigorous Thouless' arguments on the one-dimensional Ising model with coupling J/n2.
Original language | English (US) |
---|---|
Pages (from-to) | 679-694 |
Number of pages | 16 |
Journal | Journal of Statistical Physics |
Volume | 25 |
Issue number | 4 |
DOIs | |
State | Published - Aug 1981 |
Keywords
- Entropy
- Ising model
- Thouless effect
- one-dimensional models
- phase transitions
- plane rotor
- spin systems
- symmetry breaking
- two-dimensional models
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics