HAMILTONIANS FOR DISCRETE DYNAMICS

被引:57
作者
TOXVAERD, S
机构
[1] Department of Chemistry, H. C. Orsted Institute, University of Copenhagen
关键词
D O I
10.1103/PhysRevE.50.2271
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
The discrete dynamics obtained by a simple second-order map is shown to lead to an exact integration of harmonic modes with a conserved quantity: a ''shadow Hamiltonian.'' The exact relations for ''velocity'' and energy are used to correct the energy obtained by the second-order algorithm commonly used in molecular dynamics simulations for complex many-body systems and lead to an improved energy conservation with a factor of 4 to 5.
引用
收藏
页码:2271 / 2274
页数:4
相关论文
共 16 条
[1]  
[Anonymous], COMPUTER SIMULATION
[2]  
BATEMAN H, 1953, HIGH TRANSCENDENTAL, V2, pCH10
[3]   2ND-ORDER DYNAMICS IN THE COLLECTIVE TEMPORAL EVOLUTION OF COMPLEX-SYSTEMS [J].
BINDER, PM ;
PRIVMAN, V .
PHYSICAL REVIEW LETTERS, 1992, 68 (26) :3830-3833
[4]   PARTICLE SIMULATION OF PLASMAS [J].
DAWSON, JM .
REVIEWS OF MODERN PHYSICS, 1983, 55 (02) :403-447
[5]   HIGH-PERFORMANCE COMPUTING AND PLASMA PHYSICS [J].
DAWSON, JM ;
DECYK, V ;
SYDORA, R ;
LIEWER, P .
PHYSICS TODAY, 1993, 46 (03) :64-70
[6]  
DELAMBRE J, 1790, MEM ACAD TURIN, V5, P143
[7]   SHADOWING OF PHYSICAL TRAJECTORIES IN CHAOTIC DYNAMICS - CONTAINMENT AND REFINEMENT [J].
GREBOGI, C ;
HAMMEL, SM ;
YORKE, JA ;
SAUER, T .
PHYSICAL REVIEW LETTERS, 1990, 65 (13) :1527-1530
[8]   PHASE TRANSITIONS OF LENNARD-JONES SYSTEM [J].
HANSEN, JP ;
VERLET, L .
PHYSICAL REVIEW, 1969, 184 (01) :151-&
[9]   MOLECULAR-DYNAMICS AND TIME REVERSIBILITY [J].
LEVESQUE, D ;
VERLET, L .
JOURNAL OF STATISTICAL PHYSICS, 1993, 72 (3-4) :519-537
[10]   CORRELATIONS IN MOTION OF ATOMS IN LIQUID ARGON [J].
RAHMAN, A .
PHYSICAL REVIEW, 1964, 136 (2A) :A405-+