Dynamics and thermodynamics of rotators interacting with both long- and short-range couplings

被引:29
|
作者
Campa, A
Giansanti, A
Mukamel, D
Ruffo, S
机构
[1] Ist Super Sanita, Hlth & Technol Dept, Complex Syst & Theoret Phys Unit, I-00161 Rome, Italy
[2] INFN RomaI, Grp Collegato Sanita, I-00161 Rome, Italy
[3] Univ Roma La Sapienza, Dept Phys, I-00185 Rome, Italy
[4] Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel
[5] Univ Florence, Dipartimento Energet Sergio Stecco, I-50139 Florence, Italy
[6] Univ Florence, CSDC, I-50139 Florence, Italy
[7] Ist Nazl Fis Nucl, I-50139 Florence, Italy
基金
以色列科学基金会;
关键词
long-range systems; quasi-stationary states; ensemble inequivalence;
D O I
10.1016/j.physa.2006.01.003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The effect of nearest-neighbor coupling on the thermodynamic and dynamical properties of the ferromagnetic Hamiltonian mean field model (HMF) is studied. For a range of anti ferromagnetic nearest-neighbor coupling, a canonical first-order transition is observed, and the canonical and microcanonical ensembles are non-equivalent. In studying the relaxation time of non-equilibrium states it is found that as in the HMF model, a class of non-magnetic states is quasi-stationary, with an algebraic divergence of their lifetime with the number of degrees of freedom N. The lifetime of metastable states is found to increase exponentially with N as expected. (c) 2006 Elsevier B.V. All rights reserved.
引用
收藏
页码:120 / 127
页数:8
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