Eliazar Iddo
Department of Technology Management, Holon Institute of Technology, PO Box 305, Holon 58102, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 1):061132. doi: 10.1103/PhysRevE.84.061132. Epub 2011 Dec 19.
We consider a pack of independent probes--within a spatially inhomogeneous thermal bath consisting of a vast number of randomly moving particles--which are subjected to an external force. The stochastic dynamics of the probes are governed by Langevin's equation. The probes attain a steady state distribution which, in general, is different than the concentration of the particles in the spatially inhomogeneous thermal bath. In this paper we explore the state of "entropic crowding" in which the probes' distribution and the particles' concentration coincide--thus yielding maximal relative entropies of one with respect to the other. Entropic crowding can be attained by two scenarios which are analyzed in detail: (i) "entropically crowding thermal baths"--in which the particles crowd uniformly around the probes; (ii) "entropically crowding Langevin forces"--in which the probes crowd uniformly amongst the particles. Entropic crowding is equivalent to the optimal stochastic cloaking of the probes within the spatially inhomogeneous thermal bath.
我们考虑一组独立的探测器——处于由大量随机运动粒子组成的空间非均匀热浴中——并受到外力作用。探测器的随机动力学由朗之万方程支配。探测器达到一种稳态分布，一般来说，这种分布与空间非均匀热浴中粒子的浓度不同。在本文中，我们探讨“熵拥挤”状态，其中探测器的分布与粒子的浓度重合——从而产生彼此之间的最大相对熵。熵拥挤可以通过两种详细分析的情形实现：（i）“熵拥挤热浴”——其中粒子在探测器周围均匀聚集；（ii）“熵拥挤朗之万力”——其中探测器在粒子之间均匀聚集。熵拥挤等同于探测器在空间非均匀热浴中的最优随机隐身。
