Determination of multicanonical weight based on a stochastic model of sampling dynamics

被引:22
作者
Kim, JG
Fukunishi, Y
Kidera, A
Nakamura, H
机构
[1] JBIC, JBIRC, Koto Ku, Tokyo 1350064, Japan
[2] AIST, BIRC, Koto Ku, Tokyo 1350064, Japan
[3] Yokohama City Univ, Grad Sch Integrated Sci, Yokohama, Kanagawa 2300045, Japan
[4] Osaka Univ, Inst Prot Res, Res Ctr Struct Biol, Lab Prot Informat, Suita, Osaka 5650871, Japan
来源
PHYSICAL REVIEW E | 2003年 / 68卷 / 02期
关键词
D O I
10.1103/PhysRevE.68.021110
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
Based on the stochastic interpretation of the sampling process modeled by a Langevin equation, we present an effective iteration scheme to determine the weight in multicanonical molecular dynamics. Our method enables an automatic determination of the weight producing a uniform energy sampling via an iterative cancellation of the deterministic force in a Langevin equation. The deterministic force has been calculated from the energy trajectory by identifying the moments of the transition probability of a Fokker-Planck equation associated with a Langevin equation. The intimate relationship between the sampling process and the stochastic dynamics has been verified by applying the iteration scheme to a helix-coil transition of the 8-polyalanine system in a gas phase.
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页数:8
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共 37 条
[1]   Partition function zeros and finite size scaling of helix-coil transitions in a polypeptide [J].
Alves, NA ;
Hansmann, UHE .
PHYSICAL REVIEW LETTERS, 2000, 84 (08) :1836-1839
[2]   Helix formation and folding in an artificial peptide [J].
Alves, NA ;
Hansmann, UHE .
JOURNAL OF CHEMICAL PHYSICS, 2002, 117 (05) :2337-2343
[3]   NEW APPROACH TO SPIN-GLASS SIMULATIONS [J].
BERG, BA ;
CELIK, T .
PHYSICAL REVIEW LETTERS, 1992, 69 (15) :2292-2295
[4]   MULTICANONICAL ALGORITHMS FOR 1ST ORDER PHASE-TRANSITIONS [J].
BERG, BA ;
NEUHAUS, T .
PHYSICS LETTERS B, 1991, 267 (02) :249-253
[5]   Multicanonical methods, molecular dynamics, and Monte Carlo methods: Comparison for Lennard-Jones glasses [J].
Bhattacharya, KK ;
Sethna, JP .
PHYSICAL REVIEW E, 1998, 57 (03) :2553-2562
[6]   A 2ND GENERATION FORCE-FIELD FOR THE SIMULATION OF PROTEINS, NUCLEIC-ACIDS, AND ORGANIC-MOLECULES [J].
CORNELL, WD ;
CIEPLAK, P ;
BAYLY, CI ;
GOULD, IR ;
MERZ, KM ;
FERGUSON, DM ;
SPELLMEYER, DC ;
FOX, T ;
CALDWELL, JW ;
KOLLMAN, PA .
JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1995, 117 (19) :5179-5197
[7]   Thermodynamics and the global optimization of Lennard-Jones clusters [J].
Doye, JPK ;
Wales, DJ ;
Miller, MA .
JOURNAL OF CHEMICAL PHYSICS, 1998, 109 (19) :8143-8153
[8]   REDUCING QUASI-ERGODIC BEHAVIOR IN MONTE-CARLO SIMULATIONS BY J-WALKING - APPLICATIONS TO ATOMIC CLUSTERS [J].
FRANTZ, DD ;
FREEMAN, DL ;
DOLL, JD .
JOURNAL OF CHEMICAL PHYSICS, 1990, 93 (04) :2769-2784
[9]   How to quantify deterministic and random influences on the statistics of the foreign exchange market [J].
Friedrich, R ;
Peinke, J ;
Renner, C .
PHYSICAL REVIEW LETTERS, 2000, 84 (22) :5224-5227
[10]   Effects of side-chain charges on α-helix stability in C-peptide of ribonuclease A studied by multicanonical algorithm [J].
Hansmann, UHE ;
Okamoto, Y .
JOURNAL OF PHYSICAL CHEMISTRY B, 1999, 103 (09) :1595-1604