PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2009 | 7 | 3 | 490-502
Tytuł artykułu

Reconstruction of the finite size canonical ensemble from incomplete micro-canonical data

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we discuss how partial knowledge of the density of states for a model can be used to give good approximations of the energy distributions in a given temperature range. From these distributions one can then obtain the statistical moments corresponding to e.g. the internal energy and the specific heat. These questions have gained interest apropos of several recent methods for estimating the density of states of spin models. As a worked example we finally apply these methods to the 3-state Potts model for cubic lattices of linear order up to 128. We give estimates of e.g. latent heat and critical temperature, as well as the micro-canonical properties of interest.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
3
Strony
490-502
Opis fizyczny
Daty
wydano
2009-09-01
online
2009-06-25
Twórcy
autor
  • Department of theoretical physics, AlbaNova University Center, KTH, SE-106 91, Stockholm, Sweden, phl@kth.se
Bibliografia
  • [1] W. Janke, Physica A 254, 164 (1998) http://dx.doi.org/10.1016/S0378-4371(98)00014-4[Crossref]
  • [2] J. Hove, Phys. Rev. E 70, 056707 (2004)
  • [3] F. Wang, D. P. Landau, Phys. Rev. Let. 86, 2050 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.2050[Crossref]
  • [4] J.-S. Wang, R. H. Swendsen, J. Stat. Phys. 106, 245 (2002) http://dx.doi.org/10.1023/A:1013180330892[Crossref]
  • [5] R. Häggkvist et al., J. Stat. Phys. 114, 455 (2004) http://dx.doi.org/10.1023/B:JOSS.0000003116.17579.5d[Crossref]
  • [6] H. Touchette, E. Touchette, S. Richard, B. Turkington, Physica A 340, 138 (2004) http://dx.doi.org/10.1016/j.physa.2004.03.088[Crossref]
  • [7] Ch. Junghans, M. Bachmann, W. Janke, Phys. Rev. Lett. 97, 218103 (2006)
  • [8] A. M. Ferrenberg, D. P. Landau, R. H. Swendsen, Phys. Rev. E 5, 5092 (1995) http://dx.doi.org/10.1103/PhysRevE.51.5092[Crossref]
  • [9] C. McDiarmid, Algorithms and Combinatorics 16, 195 (1998) [Crossref]
  • [10] A. Martin-Löf, Commun. Math. Phys. 32, 75 (1973) http://dx.doi.org/10.1007/BF01646430[Crossref]
  • [11] R. S. Ellis, Classics in Mathematics: Entropy, large deviations, and statistical mechanics, Reprint of the 1985 original (Springer-Verlag, Berlin, 2006)
  • [12] B. Kaufman, Phys. Rev. 76, 1232 (1949) http://dx.doi.org/10.1103/PhysRev.76.1232[Crossref]
  • [13] R. Häggkvist et al., Phys. Rev. E 69, 046104 (2004)
  • [14] P. Beale, Phys. Rev. 76, 78 (1996)
  • [15] C. Borgs, Proceedings of FOCS’ 99 (1999), www.math.cmu.edu/%7Eaf1p/papers.html
  • [16] C. Borgs, R. Kotecký, I. Medved, J. Stat. Phys. 109, 67 (2002) http://dx.doi.org/10.1023/A:1019931410450[Crossref]
  • [17] W. Janke, R. Villanova, Nucl. Phys. B 489, 679 (1997) http://dx.doi.org/10.1016/S0550-3213(96)00710-9[Crossref]
  • [18] A. J. Guttmann, I. G. Enting, J. Phys. A 27, 5801 (1994) http://dx.doi.org/10.1088/0305-4470/27/17/014[Crossref]
  • [19] Roland Häggkvist et al., Adv. Phys. 56, 653 (2007) http://dx.doi.org/10.1080/00018730701577548[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0033-9
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.