金刚石晶格零程过程中的电流回路和涨落
Current loops and fluctuations in the zero-range process on a diamond lattice
摘要：
研究了具有开边界条件的简单菱形晶格上的零程过程，确定了平均流中存在环的条件。我们还进行了大偏差分析的波动的部分和总电流和检查的有效性的Gallavotti-Cohen波动关系，这些数量。在这种情况下，我们表明，波动关系是不满意的网站之间的部分电流，即使它是满足的总电流之间的边界。最后，我们扩展我们的方法来研究耦合钻石链，并证明平均电流制度的共存。
英文摘要：
We study the zero-range process on a simple diamond lattice with open boundary conditions and determine the conditions for the existence of loops in the mean current. We also perform a large deviation analysis for fluctuations of partial and total currents and check the validity of the Gallavotti-Cohen fluctuation relation for these quantities. In this context, we show that the fluctuation relation is not satisfied for partial currents between sites even if it is satisfied for the total current flowing between the boundaries. Finally, we extend our methods to study a chain of coupled diamonds and demonstrate co-existence of mean current regimes.
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