Topological hypothesis on phase transitions: The simplest case

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 1 2, 2004, Pages

  Teixeira, Ana C Ribeiro ^a   Stariolo, Daniel A ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; FERROMAGNETISM; GROUND STATE; MATHEMATICAL MODELS; POTENTIAL ENERGY; RELAXATION PROCESSES; STATISTICAL METHODS; THERMODYNAMICS; TOPOLOGY;

POTENTIAL ENERGY SUBMANIFOLDS (PES'S); SPHERICAL CONSTRAINT; STATISTICAL SYSTEMS; TOPOLOGICAL PROPERTIES;

PHASE TRANSITIONS;

EID: 37649029092     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.016113     Document Type: Article

References (15)

1. L. Caiani, L. Casetti, C. Clementi, and M. Pettini, Phys. Rev. Lett. 79, 4361 (1997).
2. R. Franzosi, L. Casetti, L. Spinelli, and M. Pettini, Phys. Rev. E 60, R5009 (1999).
3. R. Franzosi, M. Pettini, and L. Spinelli, Phys. Rev. Lett. 84, 2774 (2000).
4. L. Casetti, M. Pettini, and E. G. D. Cohen, J. Stat. Phys. 111, 1091 (2003).
5. L. Angelani, L. Casetti, M. Pettini, G. Ruocco, and F. Zamponi, Europhys. Lett. 62, 775 (2003).
6. P. Grinza and A. Mossa, Phys. Rev. Lett. 92, 158102 (2004).
7. L. Casetti, M. Pettini, and E. G. D. Cohen, Phys. Rep. 337, 237 (2000).
8. L. Casetti, E. G. D. Cohen, and M. Pettini, Phys. Rev. E 65, 036112 (2002).
9. R. Franzosi, M. Pettini, and L. Spinelli, e-print math-ph/ 0305032.
10. R. Franzosi and M. Pettini, Phys. Rev. Lett. 92, 060601 (2004).
11. T. H. Berlin and M. Kac, Phys. Rev. 86, 821 (1952).
12. A. C. R. Teixeira and D. A. Stariolo (unpublished).
13. G. Adam and J. H. Gibbs, J. Chem. Phys. 43, 139 (1965).
14. C. Nash and S. Sen, Topology and Geometry for Physicists (Academic Press, London, 1983).
15. Recently, a work by M. Kastner appeared (e-print cond-mat/ 0404511) with conclusions very similar to ours.