Relaxation processes in long-range lattices

被引：2
|
作者：
Rocha Filho, T. M. [1 ]
Bachelard, R. [2 ]
机构：
[1] Univ Brasilia, Inst Fis Int Ctr Condensed Matter Phys, Campus Darcy Ribeiro, BR-70919970 Brasilia, DF, Brazil
[2] Univ Fed Sao Carlos, Dept Fis, Rodovia Washington Luis,Km 235,Sao Paulo 310, BR-13565905 Sao Carlos, SP, Brazil
来源：
PHYSICAL REVIEW E | 2019年 / 100卷 / 04期
基金：
巴西圣保罗研究基金会; 瑞典研究理事会;
关键词：
PROPAGATION;
D O I：
10.1103/PhysRevE.100.042123
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 relaxation to equilibrium of lattice systems with long-range interactions is investigated. The timescales involved depend polynomially on the system size, potentially leading to diverging equilibration times. A kinetic equation for long-range lattices is proposed, which explain these timescales as well as a threshold in the interaction range reported in [Phys. Rev. Lett. 110, 170603 (2013)]. Non-Markovian effects are shown to play an important role in the relaxation of systems of up to thousands of particles.
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