随机陷阱模型与势垒模型的对偶性
Duality between random trap and barrier models
摘要:
我们讨论了两个模型之间的二重性与淬火无序的物理后果,其中粒子在随机陷阱或随机障碍之间的一维传播。我们推导出在固定的无序度下它们的扩散前沿之间的精确关系,并由此推导出它们的无序平均扩散前沿是完全相等的。我们使用有效的动力学计划隔离不同的物理过程中,粒子在模型中传播,并讨论如何从这些不同的过程的速率之间的对应关系的对偶性。
英文摘要:
We discuss the physical consequences of a duality between two models with quenched disorder, in which particles propagate in one dimension among random traps or across random barriers. We derive an exact relation between their diffusion fronts at fixed disorder, and deduce from this that their disorder-averaged diffusion fronts are exactly equal. We use effective dynamics schemes to isolate the different physical processes by which particles propagate in the models and discuss how the duality arises from a correspondence between the rates for these different processes.
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