Tree structures for the current fluctuations in the exclusion process
Tree structures for the current fluctuations in the exclusion process
复制标题
排除过程中当前波动的树结构
DOI：
10.1088/1751-8113/43/10/105002
复制
发表时间：
2009
期刊：
影响因子：
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通讯作者：
Sylvain Prolhac
中科院分区：
文献类型：
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作者：
Sylvain Prolhac
我们考虑环上的非对称简单排斥过程，粒子的跳跃率具有任意的非对称性。使用的Bethe方程的模型的功能制定，我们推导出精确的表达式在稳态的电流的所有累积量。这些表达式涉及具有复合节点的树结构。在热力学极限，三个制度可以观察到的电流波动取决于如何不对称的规模与系统的大小。
We consider the asymmetric simple exclusion process on a ring, with an arbitrary asymmetry between the hopping rates of the particles. Using a functional formulation of the Bethe equations of the model, we derive exact expressions for all the cumulants of the current in the stationary state. These expressions involve tree structures with composite nodes. In the thermodynamic limit, three regimes can be observed for the current fluctuations depending on how the asymmetry scales with the size of the system.