Metastable states in a class of long-range Hamiltonian systems

被引:41
作者
Campa, A
Giansanti, A
Moroni, D
机构
[1] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[2] INFM, I-00185 Rome, Italy
[3] Ist Super Sanita, Lab Fis, I-00161 Rome, Italy
[4] INFN, Sez Roma 1, I-00161 Rome, Italy
[5] Univ Amsterdam, Dept Chem Engn, NL-1018 WV Amsterdam, Netherlands
关键词
Hamiltonian dynamics; long-range interactions; metastable states; nonextensive statistical mechanics;
D O I
10.1016/S0378-4371(01)00652-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We numerically show that metastable states, similar to the quasi-stationary states found in the so-called Hamiltonian Mean Field Model, are also present in a generalized model in which N classical spins (rotators) interact through ferromagnetic couplings decaying as r(-alpha), where r is their distance over a regular lattice. Scaling laws with N are briefly discussed. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:137 / 143
页数:7
相关论文
共 27 条
[1]   Breakdown of exponential sensitivity to initial conditions: Role of the range of interactions [J].
Anteneodo, C ;
Tsallis, C .
PHYSICAL REVIEW LETTERS, 1998, 80 (24) :5313-5316
[2]   CLUSTERING AND RELAXATION IN HAMILTONIAN LONG-RANGE DYNAMICS [J].
ANTONI, M ;
RUFFO, S .
PHYSICAL REVIEW E, 1995, 52 (03) :2361-2374
[3]   Inequivalence of ensembles in a system with long-range Interactions -: art. no. 030601 [J].
Barré, J ;
Mukamel, D ;
Ruffo, S .
PHYSICAL REVIEW LETTERS, 2001, 87 (03) :30601-1
[4]   Canonical solution of a system of long-range interacting rotators on a lattice [J].
Campa, A ;
Giansanti, A ;
Moroni, D .
PHYSICAL REVIEW E, 2000, 62 (01) :303-306
[5]  
CURADO EME, 1991, J PHYS A-MATH GEN, V24, P3187
[6]   GENERALIZED STATISTICAL-MECHANICS - CONNECTION WITH THERMODYNAMICS [J].
CURADO, EMF ;
TSALLIS, C .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (02) :L69-L72
[7]  
CURADO EMF, 1992, J PHYS A-MATH GEN, V25, P1019, DOI 10.1088/0305-4470/25/4/038
[8]   Chaos suppression in the large size limit for long-range systems [J].
Firpo, MC ;
Ruffo, S .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (37) :L511-L518
[9]   Universal behaviour in the static and dynamic properties of the α-XY model [J].
Giansanti, A ;
Moroni, D ;
Campa, A .
CHAOS SOLITONS & FRACTALS, 2002, 13 (03) :407-416
[10]   Non-Gaussian equilibrium in a long-range Hamiltonian system [J].
Latora, V. (vito.latora@ct.infn.it), 2001, American Institute of Physics Inc. (64)