Microcanonical solution of lattice models with long-range interactions

被引:13
作者
Barré, J
机构
[1] Ecole Normale Super Lyon, CNRS, UMR 5672, Lab Phys, F-69364 Lyon 07, France
[2] Univ Florence, Dipartimento Energet S Stecco, I-50139 Florence, Italy
[3] INFM, Florence, Italy
[4] INFN, Florence, Italy
关键词
long-range interactions; Ising chain; optimization under constraint;
D O I
10.1016/S0378-4371(01)00657-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a general method to obtain the microcanonical solution of lattice models with long-range interactions. As an example, we apply it to the long-range Ising chain, focusing on the role of boundary conditions. (C) 2002 Elsevier Science B.V. All tights reserved.
引用
收藏
页码:172 / 177
页数:6
相关论文
共 7 条
[1]   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
[2]   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
[3]   Negative specific heat in astronomy, physics and chemistry [J].
Lynden-Bell, D .
PHYSICA A, 1999, 263 (1-4) :293-304
[4]   GRAVO-THERMAL CATASTROPHE IN ISOTHERMAL SPHERES AND ONSET OF RED-GIANT STRUCTURE FOR STELLAR SYSTEMS [J].
LYNDENBELL, D ;
WOOD, R .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1968, 138 (04) :495-+
[5]   STATISTICAL-MECHANICS OF GRAVITATING SYSTEMS [J].
PADMANABHAN, T .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1990, 188 (05) :285-362
[6]   STATISTICAL EQUILIBRIUM STATES FOR 2-DIMENSIONAL FLOWS [J].
ROBERT, R ;
SOMMERIA, J .
JOURNAL OF FLUID MECHANICS, 1991, 229 :291-310
[7]   Kac-potential treatment of nonintegrable interactions [J].
Vollmayr-Lee, BP ;
Luijten, E .
PHYSICAL REVIEW E, 2001, 63 (03) :031108-031108