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arXiv 1105.5974cond-mat.mes-hall
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电容耦合电流的涨落定理

Fluctuation theorems for capacitively coupled electronic currents

Gregory Bulnes Cuetara, Massimiliano Esposito, Pierre Gaspard

摘要:

从理论上研究了具有两个电容耦合平行输运通道的系统中电子输运的计数统计。每个通道由通过隧穿连接到两个储存器的量子点组成。系统的非平衡稳态由两个亲和力或热力学力控制,每个亲和力或热力学力由每个通道的两个储存器决定。单电流涨落定理的地位进行了研究,从基本的两个电流涨落定理,这是一个后果的微观可逆性。我们表明,单电流波动定理持有的限制,两个平行的量子点之间的大库仑排斥,以及在限制的大电流比之间的平行通道。在后者的限制,单电流波动定理的对称关系是满意的有效亲和力,这是远远低于由水库确定的亲和力。这种反作用的效果是定量的特点。

英文摘要:

The counting statistics of electron transport is theoretically studied in a system with two capacitively coupled parallel transport channels. Each channel is composed of a quantum dot connected by tunneling to two reservoirs. The nonequilibrium steady state of the system is controlled by two affinities or thermodynamic forces, each one determined by the two reservoirs of each channel. The status of a single-current fluctuation theorem is investigated starting from the fundamental two-current fluctuation theorem, which is a consequence of microreversibility. We show that the single-current fluctuation theorem holds in the limit of a large Coulomb repulsion between the two parallel quantum dots, as well as in the limit of a large current ratio between the parallel channels. In this latter limit, the symmetry relation of the single-current fluctuation theorem is satisfied with respect to an effective affinity that is much lower than the affinity determined by the reservoirs. This back-action effect is quantitatively characterized.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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