Existence and order of the phase transition of the Ising model with fixed magnetization

Journal of Statistical Physics

Volumn 109, Issue 1-2, 2002, Pages 133-142

  Kastner, Michael ^a,b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b INFM   (Italy)

Author keywords

Fixed magnetization; Ising model; Phase transition

Indexed keywords

EID: 0141673382     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019983427289     Document Type: Article

References (10)

1. M. Pleimling and A. Hüller, Crossing the coexistence line at constant magnetization, J. Stat. Phys. 104:971-989 (2001).
2. L. Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev. 65:117-149 (1944).
3. J. T. Lewis, C.-E. Pfister, and W. G. Sullivan, The equivalence of ensembles for lattice systems: some examples and a counterexample, J. Stat. Phys. 77:397-419 (1994).
4. E. Ising, Beitrag zur Theorie des Ferromagnetismus, Z. Phys. 31:253-258 (1925).
5. C.-E. Pfister, Thermodynamical aspects of classical lattice systems, to appear In and Out of Equilibrium, Probability with a Physics Flavor, V. Sidoravicius, ed. (Birkhäuser, 2002).
6. C. N. Yang, The spontaneous magnetization of a two-dimensional Ising model, Phys. Rev. 85:808-816 (1952).
7. J. L. Lebowitz and A. Martin-Löf, On the uniqueness of the equilibrium state for Ising spin systems, Comm. Math. Phys. 25:276-282 (1972).
8. T. D. Lee and C. N. Yang, Statistical theory of equations of state and phase transitions. II. Lattice gas and Ising model, Phys. Rev. 87:410-419 (1952).
9. J. L. Lebowitz and O. Penrose, Analytic and clustering properties of thermodynamic functions and distribution functions for classical lattice and continuum systems, Comm. Math. Phys. 11:99-124 (1968).
10. E. H. Lieb and J. Yngvason, The physics and mathematics of the second law of thermodynamics, Phys. Rep. 310:1-96 (1999).