Zeroth order phase transition induced by ergodicity breaking in a mean-field system

被引:10
|
作者
Hou, Ji-Xuan [1 ]
机构
[1] Southeast Univ, Sch Phys, Nanjing 211189, Jiangsu, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL B | 2021年 / 94卷 / 01期
关键词
Ergodicity - Global phase diagrams - Mean field - Mean-field interactions - Microcanonical ensembles - Spin chain models - Transition point - Zero order;
D O I
10.1140/epjb/s10051-020-00025-3
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
A spin chain model with mean-field interactions is studied within the microcanonical ensemble. Under local microcanonical dynamics, gaps in the space of extensive variables can be open up leading to the ergodicity breaking of this system. As a consequence, our mean-field system can exhibit the zero-order phase transition accompanied with an entropy jump at the transition point. Moreover, the global phase diagram of the system is constructed.GraphicAbstract
引用
收藏
页数:6
相关论文
共 50 条
  • [21] Mean-field theory of superradiant phase transition in complex networks
    Bazhenov, Andrei Yu
    Tsarev, Dmitriy, V
    Alodjants, Alexander P.
    PHYSICAL REVIEW E, 2021, 103 (06)
  • [22] MAGNETIC PHASE-TRANSITION AT A SURFACE - MEAN-FIELD THEORY
    KUMAR, P
    PHYSICAL REVIEW B, 1974, 10 (07): : 2928 - 2933
  • [23] Mean-field approximation for the chiral soliton in a chiral phase transition
    张辉
    舒崧
    Chinese Physics C, 2015, (09) : 60 - 66
  • [24] Gradient Estimates and Exponential Ergodicity for Mean-Field SDEs with Jumps
    Song, Yulin
    JOURNAL OF THEORETICAL PROBABILITY, 2020, 33 (01) : 201 - 238
  • [25] Gradient Estimates and Exponential Ergodicity for Mean-Field SDEs with Jumps
    Yulin Song
    Journal of Theoretical Probability, 2020, 33 : 201 - 238
  • [26] Unified View on the Mean-Field Order of Coil-Globule Transition
    Yang, Delian
    Wang, Qiang
    ACS MACRO LETTERS, 2013, 2 (11): : 952 - 954
  • [27] SHEAR-INDUCED TRANSITION TO MEAN-FIELD CRITICAL BEHAVIOR
    BEYSENS, D
    GBADAMASSI, M
    JOURNAL DE PHYSIQUE LETTRES, 1979, 40 (21): : L565 - L567
  • [28] Extended order parameter and conjugate field for the dynamic phase transition in a Ginzburg-Landau mean-field model in an oscillating field
    Robb, Daniel T.
    Ostrander, Aaron
    PHYSICAL REVIEW E, 2014, 89 (02):
  • [29] Ideal mean-field transition in a modulated cold atom system
    Heo, Myoung-Sun
    Kim, Yonghee
    Kim, Kihwan
    Moon, Geol
    Lee, Junhyun
    Noh, Heung-Ryoul
    Dykman, M. I.
    Jhe, Wonho
    PHYSICAL REVIEW E, 2010, 82 (03):
  • [30] MEAN-FIELD THEORY OF QUASICRYSTALLINE ORDER
    MERMIN, ND
    TROIAN, SM
    PHYSICAL REVIEW LETTERS, 1985, 54 (14) : 1524 - 1527