Large deviation function and fluctuation theorem for classical particle transport.
Large deviation function and fluctuation theorem for classical particle transport.
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经典粒子输运的大偏差函数和涨落定理。
DOI：
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发表时间：
2013
期刊：
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通讯作者：
K. Lindenberg
中科院分区：
文献类型：
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作者：
U. Harbola;C. Van den Broeck;K. Lindenberg
我们在一个简单的经典颗粒在两个储集层之间传输的模型中对大偏差函数进行了解析计算。我们说明了如何从一个特殊的传播初始条件开始达到渐近的长时间区。我们证明了稳态涨落定理成立，条件是粒子数的分布衰减快于指数分布，这意味着生成函数的解析性及其演化算符的离散谱。
We analytically evaluate the large deviation function in a simple model of classical particle transfer between two reservoirs. We illustrate how the asymptotic long-time regime is reached starting from a special propagating initial condition. We show that the steady-state fluctuation theorem holds provided that the distribution of the particle number decays faster than an exponential, implying analyticity of the generating function and a discrete spectrum for its evolution operator.