On the Singularity of the Free Energy at a First Order Phase Transition

被引:0
|
作者
Sacha Friedli
Charles-E. Pfister
机构
[1] Institut de Théorie des Phénomènes Physiques,
[2] Institut d’Analyse et de Calcul Scientifique,undefined
来源
关键词
Phase Transition; Free Energy; Lattice Model; Analytic Continuation; Order Phase Transition;
D O I
暂无
中图分类号
学科分类号
摘要
At first order phase transition the free energy does not have an analytic continuation in the thermodynamical variable, which is conjugate to an order parameter for the transition. This result is proved at low temperature for lattice models with finite range interaction and two periodic ground-states, under the only condition that they satisfy the Peierls condition.
引用
收藏
页码:69 / 103
页数:34
相关论文
共 50 条
  • [21] Component first-order phase transition
    Ivanovskii, M.N.
    Morozov, V.A.
    Ponomarev-Stepnoi, N.N.
    Shimkevich, A.L.
    Soviet atomic energy, 1989, 65 (05): : 878 - 881
  • [22] Dynamics near a first order phase transition
    Loredana Bellantuono
    Romuald A. Janik
    Jakub Jankowski
    Hesam Soltanpanahi
    Journal of High Energy Physics, 2019
  • [23] MAGNETIC DISORDER AS A FIRST ORDER PHASE TRANSITION
    BEAN, CP
    RODBELL, DS
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1962, 17 : 154 - &
  • [24] First order phase transition in quark matter
    Iwasaki, M
    PHYSICAL REVIEW D, 2004, 70 (11) : 114031 - 1
  • [25] SINGULARITY OF THERMODYNAMIC QUANTITIES AT A 1ST ORDER PHASE TRANSITION POINT
    ANDREEV, AF
    SOVIET PHYSICS JETP-USSR, 1964, 18 (05): : 1415 - 1416
  • [26] Phase separation in a weak first-order phase transition
    Arkin, H
    Çelik, T
    Berg, BA
    Meyer-Ortmanns, H
    PHYSICA A, 1999, 274 (1-2): : 320 - 324
  • [27] First order phase transition from free flow to synchronized flow in a cellular automata model
    R. Jiang
    Q-S. Wu
    The European Physical Journal B - Condensed Matter and Complex Systems, 2005, 46 : 581 - 584
  • [28] First order phase transition from free flow to synchronized flow in a cellular automata model
    Jiang, R
    Wu, QS
    EUROPEAN PHYSICAL JOURNAL B, 2005, 46 (04): : 581 - 584
  • [29] Quasiclassical free energy of superconductors: Disorder-driven first-order phase transition in superconductor/ferromagnetic-insulator bilayers
    Virtanen, Pauli
    Vargunin, Artjom
    Silaev, Mikhail
    PHYSICAL REVIEW B, 2020, 101 (09)
  • [30] From a Liquid to a Crystal without Going through a First-Order Phase Transition: Determining the Free Energy of Melting with Glassy Intermediates
    Zhuang, Lin
    Wang, Rui
    Lindberg, Gerrick E.
    Hu, Hongyi
    Li, Xin-Zheng
    Wang, Feng
    JOURNAL OF PHYSICAL CHEMISTRY B, 2019, 123 (36): : 7740 - 7747