Stationary-point approach to the phase transition of the classical XY chain with power-law interactions

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

Volumn 83, Issue 3, 2011, Pages

  Kastner, Michael ^a  

^a STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; MOLECULAR PHYSICS; POTENTIAL ENERGY FUNCTIONS;

ASYMPTOTIC BEHAVIORS; LARGE SYSTEM SIZE; MANY-BODY POTENTIALS; PAIR INTERACTIONS; POWER LAW INTERACTIONS; POWER-LAW; STATIONARY POINTS; TOEPLITZ PROPERTIES;

CHAINS;

EID: 79953138721     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.031114     Document Type: Article

References (23)

1. H. Eyring, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1749604 3, 107 (1935).
2. H. A. Kramers, Physica PHYSAG 0031-8914 10.1016/S0031-8914(40)90098-2 7, 284 (1940).
3. F. A. Tamarit, G. Maglione, D. A. Stariolo, and C. Anteneodo, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.036148 71, 036148 (2005). (Pubitemid 40619822)
4. B. Strodel and D. J. Wales, Chem. Phys. Lett. CHPLBC 0009-2614 10.1016/j.cplett.2008.10.085 466, 105 (2008).
5. L. Casetti, M. Pettini, and E. G. D. Cohen, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(00)00069-7 337, 237 (2000).
6. M. Kastner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.167 80, 167 (2008).
7. R. Franzosi and M. Pettini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.060601 92, 060601 (2004);
8. R. Franzosi, M. Pettini, and L. Spinelli, Nuclear Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.04.025 782, 189 (2007).
9. M. Kastner and O. Schnetz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.160601 100, 160601 (2008); (Pubitemid 351590610)
10. M. Kastner, O. Schnetz, and S. Schreiber, J. Stat. Mech. Theory Exp. PRLTAO 1742-5468 10.1088/1742-5468/2008/04/P04025 2008, P04025 (2008).
11. C. Nardini and L. Casetti, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.060103 80, 060103 (R) (2009).
12. L. Casetti, M. Kastner, and R. Nerattini, J. Stat. Mech. Theory Exp. PRLTAO 1742-5468 10.1088/1742-5468/2009/07/P07036 2009, P07036 (2009).
13. C. Anteneodo and C. Tsallis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5313 80, 5313 (1998).
14. F. Tamarit and C. Anteneodo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.208 84, 208 (2000);
15. A. Campa, A. Giansanti, and D. Moroni, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.62.303 62, 303 (2000).
16. M. Kosterlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.37. 1577 37, 1577 (1976).
17. J. FrÃhlich, R. Israel, E. H. Lieb, and B. Simon, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01940327 62, 1 (1978).
18. F. J. Dyson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01645907 12, 91 (1969);
19. F. J. Dyson, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01661575 12, 212 (1969).
20. D. Mehta and M. Kastner, Ann. Phys. (NY) 10.1016/j.aop.2010.12.016 (2011).
21. I. S. Gradshteyn and I. M. Ryzhik, in Table of Integrals, Series, and Products, 7th ed., edited by, A. Jeffrey, and, D. Zwillinger, (Academic Press, San Diego, 2007).
22. A. BÃttcher and B. Silbermann, Introduction to Large Truncated Toeplitz Matrices (Springer, New York, 1999).
23. L. Casetti and M. Kastner, Physica A PHYADX 0378-4371 10.1016/j.physa.2007.05.043 384, 318 (2007). (Pubitemid 47299288)