SINE-GORDON CHAIN .2. NON-EQUILIBRIUM STATISTICAL-MECHANICS
SINE-GORDON CHAIN .2. NON-EQUILIBRIUM STATISTICAL-MECHANICS
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DOI：
10.1103/physreva.17.1774
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发表时间：
1978-01-01
影响因子：
2.9
通讯作者：
MILLER, MD
中科院分区：
文献类型：
--
作者：
GUYER, RA;MILLER, MD
本文用求解Smolouchowski方程的方法计算了具有粘性阻尼的外场中正弦-戈登链上的电流。Smolouchowski方程的解决，采用其关系的BBGKY系列和使用转移积分技术。该方法的解决方案是不是特定的sine-Gordon链，可以有效地用于检查其他非线性系统。斯莫洛霍夫斯基方程的解是单粒子分布函数的自洽方程;该解描述了所有外场值下的系统。在低场下，电流与场成正比，这是由于热激活的相位孤子;在高场下，电流与场成正比，电导率比低场电导率大许多个数量级。一个非常非线性的传导区域将低场和高场区分开。可以确定各种微扰对sine-Gordon链电导率的影响。
A calculation of the current carried on the sine-Gordon chain in an external field with viscous damping is formulated in terms of the solution of a Smolouchowski equation. The Smolouchowski equation is solved by employing its relationship to the BBGKY hierarchy and by using transfer-integral techniques. The method of solution is not specific to the sine-Gordon chain and can be usefully employed in examining other nonlinear systems. The solution of the Smolouchowski equation takes the form of a self-consistent equation for the single-particle distribution function; the solution describes the system for all values of the external field. At low field, the current is proportional to the field and due to thermally activated phase solitons; at high field, the current is proportional to the field and the conductivity many orders of magnitude greater than the low-field conductivity. A region of very nonlinear conduction separates the low-field and high-field regimes. It is possible to determine the effects of various perturbations on the conductivity of the sine-Gordon chain.