Efficient parallel tempering for first-order phase transitions

被引:19
作者
Neuhaus, T. [1 ,2 ]
Magiera, M. P. [3 ]
Hansmann, U. H. E. [1 ]
机构
[1] Forschungszentrum Julich, John Neumann Inst Comp, D-52425 Julich, Germany
[2] Johannes Gutenberg Univ Mainz, Inst Phys, Mainz, Germany
[3] Univ Duisburg Essen, Dept Phys Theoret Phys, D-47048 Duisburg, Germany
来源
PHYSICAL REVIEW E | 2007年 / 76卷 / 04期
关键词
D O I
10.1103/PhysRevE.76.045701
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We present a Monte Carlo algorithm that facilitates efficient parallel tempering simulations of the density of states g(E). We show that the algorithm eliminates the supercritical slowing down in the case of the Q=20 and Q=256 Potts models in two dimensions, typical examples for systems with extreme first-order phase transitions. As recently predicted, and shown here, the microcanonical heat capacity along the calorimetric curve has negative values for finite systems.
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页数:4
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共 27 条
  • [1] POTTS MODEL AT CRITICAL-TEMPERATURE
    BAXTER, RJ
    [J]. JOURNAL OF PHYSICS C-SOLID STATE PHYSICS, 1973, 6 (23): : L445 - L448
  • [2] Exact distribution of energies in the two-dimensional Ising model
    Beale, PD
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (01) : 78 - 81
  • [3] EFFICIENT ESTIMATION OF FREE-ENERGY DIFFERENCES FROM MONTE-CARLO DATA
    BENNETT, CH
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1976, 22 (02) : 245 - 268
  • [4] MULTICANONICAL ENSEMBLE - A NEW APPROACH TO SIMULATE 1ST-ORDER PHASE-TRANSITIONS
    BERG, BA
    NEUHAUS, T
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (01) : 9 - 12
  • [5] OBSERVATION OF FSS FOR A 1ST-ORDER PHASE-TRANSITION
    BILLOIRE, A
    NEUHAUS, T
    BERG, B
    [J]. NUCLEAR PHYSICS B, 1993, 396 (2-3) : 779 - 788
  • [6] Theory of the evaporation /condensation transition of equilibrium droplets in finite volumes
    Binder, K
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 319 : 99 - 114
  • [7] BORGS C, 1992, J PHYS I, V2, P2011, DOI 10.1051/jp1:1992261
  • [8] GAUSSIAN ENSEMBLE AS AN INTERPOLATING ENSEMBLE
    CHALLA, MSS
    HETHERINGTON, JH
    [J]. PHYSICAL REVIEW LETTERS, 1988, 60 (02) : 77 - 80
  • [9] Generalized canonical ensembles and ensemble equivalence
    Costeniuc, M
    Ellis, RS
    Touchette, H
    Turkington, B
    [J]. PHYSICAL REVIEW E, 2006, 73 (02):
  • [10] Negative heat capacity in the critical region of nuclear fragmentation: an experimental evidence of the liquid-gas phase transition
    D'Agostino, M
    Gulminelli, F
    Chomaz, P
    Bruno, M
    Cannata, F
    Bougault, R
    Gramegna, F
    Iori, I
    Le Neindre, N
    Margagliotti, GV
    Moroni, A
    Vannini, G
    [J]. PHYSICS LETTERS B, 2000, 473 (3-4) : 219 - 225