KINEMATICS OF THE FORCED AND OVERDAMPED SINE-GORDON SOLITON GAS
KINEMATICS OF THE FORCED AND OVERDAMPED SINE-GORDON SOLITON GAS
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DOI：
10.1007/bf01012814
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发表时间：
1981-01-01
影响因子：
1.6
通讯作者：
THOMAS, H
中科院分区：
文献类型：
--
作者：
BENNETT, CH;BUTTIKER, M;THOMAS, H
一个驱动和重阻尼sine-Gordon链与低密度的扭结和粒子之间的紧密耦合的运动控制的成核和随后的湮灭对扭结和反扭结。我们表明，在稳定状态下，扭结之间或扭结和反扭结之间没有空间相关性。对于给定数目的扭结和反扭结，所有的几何分布都是一样的，就像在平衡状态下一样。一个主方程的概率分布的扭结的数量在有限的链解决，并充实了物理推理在以前的工作。概率分布的特点传播沿着方向的粒子运动的有限链平衡以及在驱动过阻尼的情况下，来自简单的组合考虑。在热力学极限下，一个被驱动的链的空间扩展不会接近一个稳定状态;一个给定的粒子在时间上偏离它的平均受迫运动t1/2。这一结果来自于稀扭折气体的流体动力学方程。与其他最近的结果进行了比较。
Motion of a driven and heavily damped sine-Gordon chain with a low density of kinks and tight coupling between particles is controlled by the nucleation and subsequent annihilation of pairs of kinks and antikinks. We show that in the steady state there are no spatial correlations between kinks or between kinks and antikinks. For a given number of kinks and antikinks all geometrical distributions are equally alike, as in equilibrium. A master equation for the probability distribution for the number of kinks on a finite chain is solved, and substantiates the physical reasoning in previous work. The probability distribution characterizing the spread along the direction of particle motion of a finite chain in equilibrium as well as in the driven overdamped case is derived by simple combinatorial considerations. The spatial spread of a driven chain in the thermodynamic limit does not approach a steady state; a given particle followed in time deviates as t1/2from its average forced motion. This result follows from the hydrodynamic equations for the dilute kink gas. Comparison is made with other recent results.