Phase transitions from saddles of the potential energy landscape

Physical Review Letters

Volumn 99, Issue 5, 2007, Pages

  Kastner, Michael ^a   Schreiber, Steffen ^a   Schnetz, Oliver ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOLTZMANN EQUATION; POTENTIAL ENERGY; THERMODYNAMICS;

BOLTZMANN ENTROPY; THERMODYNAMIC FUNCTIONS;

PHASE TRANSITIONS;

EID: 34547515713     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.99.050601     Document Type: Article

References (16)

1. R.B. Griffiths, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, M.S. Green, (Academic, London, 1972), Vol. 1.
2. M. Kastner and O. Schnetz, J. Stat. Phys. 122, 1195 (2006). JSTPSB 0022-4715 10.1007/s10955-005-8031-9
3. L. Casetti and M. Kastner, Phys. Rev. Lett. 97, 100602 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.97.100602
4. J. Dunkel and S. Hilbert, Physica (Amsterdam) 370A, 390 (2006). PHYADX 0378-4371 10.1016/j.physa.2006.05.018
5. R. Franzosi and M. Pettini, Phys. Rev. Lett. 92, 060601 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.92.060601
6. R. Franzosi and M. Pettini, arXiv:math-ph/0505058.
7. S. Risau-Gusman, A.C. Ribeiro-Teixeira, and D.A. Stariolo, Phys. Rev. Lett. 95, 145702 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.145702
8. A detailed proof will be published elsewhere.
9. A related, but weaker result has been announced in L. Spinelli, Ph.D. thesis, Université de Provence, 1999.
10. L. Casetti, M. Pettini, and E.G.D. Cohen, J. Stat. Phys. 111, 1091 (2003). JSTPSB 0022-4715 10.1023/A:1023044014341
11. L. Angelani, L. Casetti, M. Pettini, G. Ruocco, and F. Zamponi, Europhys. Lett. 62, 775 (2003). EULEEJ 0295-5075 10.1209/epl/i2003-00439-9
12. M.W. Hirsch, Differential Topology (Springer, New York, 1976).
13. D. Ruelle, Statistical Mechanics: Rigorous Results (Benjamin, Reading, 1969).
14. T.H. Berlin and M. Kac, Phys. Rev. 86, 821 (1952). PHRVAO 0031-899X 10.1103/PhysRev.86.821
15. I. Hahn and M. Kastner, Phys. Rev. E 72, 056134 (2005). PLEEE8 1063-651X 10.1103/PhysRevE.72.056134
16. D.J. Wales, Energy Landscapes (Cambridge University Press, Cambridge, England, 2004).