Shock formation in an exclusion process with creation and annihilation -: art. no. 026117
Shock formation in an exclusion process with creation and annihilation -: art. no. 026117
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DOI：
10.1103/physreve.68.026117
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发表时间：
2003-08-01
影响因子：
2.4
通讯作者：
Santen, L
中科院分区：
文献类型：
--
作者：
Evans, MR;Juhász, R;Santen, L
我们研究了不对称排斥过程中激波的形成以及大量粒子的产生和湮灭。我们展示了如何分析研究连续平均场方程，从而得出模型的相图。在大系统尺寸限制下，模型的直接模拟表明，平均场方程正确地描述了稳态，因此预测的平均场相图预计是准确的。讨论了激波的出现和相图的结构。我们还通过使用冲击动力学的唯象随机游走图来分析冲击位置的波动。计算激波位置的平稳分布，由此解释激波宽度的数值确定的有限尺寸缩放行为。
We investigate shock formation in an asymmetric exclusion process with creation and annihilation of particles in the bulk. We show how the continuum mean-field equations can be studied analytically and hence derive the phase diagrams of the model. In the large system-size limit direct simulations of the model show that the stationary state is correctly described by the mean-field equations, thus the predicted mean-field phase diagrams are expected to be exact. The emergence of shocks and the structure of the phase diagram are discussed. We also analyze the fluctuations of the shock position by using a phenomenological random walk picture of the shock dynamics. The stationary distribution of shock positions is calculated, by virtue of which the numerically determined finite-size scaling behavior of the shock width is explained.