Fast algorithm to calculate density of states

被引:156
作者
Belardinelli, R. E. [1 ]
Pereyra, V. D. [1 ]
机构
[1] Univ Nacl San Luis, Dept Fis, Lab Ciencias Superficie, CONICET, RA-5700 San Luis, Argentina
来源
PHYSICAL REVIEW E | 2007年 / 75卷 / 04期
关键词
D O I
10.1103/PhysRevE.75.046701
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
An algorithm to calculate the density of states, based on the well-known Wang-Landau method, is introduced. Independent random walks are performed in different restricted ranges of energy, and the resultant density of states is modified by a function of time, F(t)proportional to t(-1), for large time. As a consequence, the calculated density of state, g(m)(E,t), approaches asymptotically the exact value g(ex)(E) as proportional to t(-1/2), avoiding the saturation of the error. It is also shown that the growth of the interface of the energy histogram belongs to the random deposition universality class.
引用
收藏
页数:5
相关论文
共 41 条
[31]   Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram [J].
Wang, FG ;
Landau, DP .
PHYSICAL REVIEW E, 2001, 64 (05) :16
[32]   Efficient, multiple-range random walk algorithm to calculate the density of states [J].
Wang, FG ;
Landau, DP .
PHYSICAL REVIEW LETTERS, 2001, 86 (10) :2050-2053
[33]   COLLECTIVE MONTE-CARLO UPDATING FOR SPIN SYSTEMS [J].
WOLFF, U .
PHYSICAL REVIEW LETTERS, 1989, 62 (04) :361-364
[34]   THE POTTS-MODEL [J].
WU, FY .
REVIEWS OF MODERN PHYSICS, 1982, 54 (01) :235-268
[35]   Three-dimensional antiferromagnetic q-state Potts models:: application of the Wang-Landau algorithm [J].
Yamaguchi, C ;
Okabe, Y .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (42) :8781-8794
[36]   Density-of-states Monte Carlo method for simulation of fluids [J].
Yan, QL ;
Faller, R ;
de Pablo, JJ .
JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (20) :8745-8749
[37]   Understanding and improving the Wang-Landau algorithm [J].
Zhou, CG ;
Bhatt, RN .
PHYSICAL REVIEW E, 2005, 72 (02)
[38]   Wang-Landau algorithm for continuous models and joint density of states [J].
Zhou, CG ;
Schulthess, TC ;
Torbrügge, S ;
Landau, DP .
PHYSICAL REVIEW LETTERS, 2006, 96 (12)
[39]  
COMPUTER SIMULATION
[40]  
INT J MOD PHYS C