Relaxation times in the ASEP model using a DMRG method

被引：41

作者：

Nagy, Z

Appert, C

Santen, L

机构：

[1] Univ Paris 06, Lab Phys Stat, F-75231 Paris 05, France

[2] Univ Paris 07, Lab Phys Stat, F-75231 Paris, France

[3] Univ Saarland, D-66041 Saarbrucken, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2002年 / 109卷 / 3-4期

关键词：

asymmetric exclusion process; density-matrix renormalization; dynamical exponents;

D O I：

10.1023/A:1020462531383

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We compute the largest relaxation times for the totally asymmetric exclusion process (TASEP) with open boundary conditions with a DMRG method. This allows us to reach much larger system sizes than in previous numerical studies. We are then able to show that the phenomenological theory of the domain wall indeed predicts correctly the largest relaxation time for large systems. Besides, we can obtain results even when the domain wall approach breaks down, and show that the KPZ dynamical exponent z = 3/2 is recovered in the whole maximal current phase.

引用

页码：623 / 639

页数：17

共 28 条

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BELITZKY V, IN PRESS

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