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三维守恒格气模型中吸收相变临界指数的确定。

Determination of the critical exponents for absorbing phase transitions in the conserved lattice gas model in three dimensions.

作者信息

Lee Sang B

机构信息

Department of Physics, Kyungpook National University, Daegu 702-701, Korea.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Feb;85(2 Pt 1):022101. doi: 10.1103/PhysRevE.85.022101. Epub 2012 Feb 17.

DOI:10.1103/PhysRevE.85.022101
PMID:22463263
Abstract

The critical exponents were measured for absorbing phase transitions in the conserved lattice gas (CLG) model on a simple cubic lattice. The correlation-length exponent calculated from the dynamic exponent obtained by finite-size scaling and from the mean spreading distance was consistently found to be ν(⊥)=0.631±0.02, which yields a positive specific heat exponent α=2-dν(⊥) on a pure system. The pure fixed point should, thus, be unstable if the Harris criterion established in equilibrium systems is applicable to the nonequilibrium absorbing phase transitions of the CLG model. However, this prediction is in contradiction with recent simulation results.

摘要

在简单立方晶格上的守恒晶格气体(CLG)模型中,对吸收相变的临界指数进行了测量。通过有限尺寸标度获得的动力学指数和平均扩散距离计算得到的关联长度指数始终为ν(⊥)=0.631±0.02,这在纯系统中给出了正的比热指数α=2 - dν(⊥)。因此,如果在平衡系统中建立的哈里斯准则适用于CLG模型的非平衡吸收相变,那么纯不动点应该是不稳定的。然而,这一预测与最近的模拟结果相矛盾。

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