Hydrodynamic equations for attractive particle systems on ℤ
Hydrodynamic equations for attractive particle systems on ℤ
复制标题
ℤ 上吸引粒子系统的流体动力学方程
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
M. Vares
中科院分区：
文献类型：
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作者：
E. Andjel;M. Vares
研究了一类非扩散粒子系统的水动力性质。该方法允许人们研究一类非对称零范围过程的局部平衡，也适用于其他模型，如非对称简单排斥和“厌世者”。吸引力是必不可少的因素。水动力方程呈现激波现象。局部平衡的保持被证明可以避免冲击。威克（D. Wick）在一个特定模型中研究过的冲击局部遍历性的分解问题，在这种更普遍的设置中仍然是开放的。
Hydrodynamic properties for a class of nondiffusive particle systems are investigated. The method allows one to study local equilibria for a class of asymmetric zero-range processes, and applies as well to other models, such as asymmetric simple exclusion and “misanthropes.” Attractiveness is an essential ingredient. The hydrodynamic equations present shock wave phenomena. Preservation of local equilibrium is proven to hold away from the shocks. The problem of breakdown of local ergodicity at the shocks, which was investigated by D. Wick in a particular model, remains open in this more general setup.