论文标题
具有固定资源的不对称排除过程:水库拥挤和稳态
Asymmetric exclusion processes with fixed resources: Reservoir crowding and steady states
论文作者
论文摘要
我们研究了与无限能力的储层相连的不对称排除过程(TASEP)的非平衡稳态。我们阐明了如何通过动态控制TASEP的进入和退出速率以及系统中的总粒子数来控制稳态如何控制稳态。 Tasep可以处于低密度,高密度,最大电流和冲击阶段。我们表明,对于所有可用资源的所有值,这种TASEP与开放式TASEP不同:在这里,Tasep可以仅支持任何(有限的)资源数量的本地化域墙,而不是开放的Taseps中的Delailocalise域墙。此外,在无限资源的限制下,与开放的tasep相反,只有对于控制参数的任何有限值,才能在其高密度阶段找到TASEP。
We study the nonequilibrium steady states of an asymmetric exclusion process (TASEP) coupled to a reservoir of unlimited capacity. We elucidate how the steady states are controlled by the interplay between the reservoir population that dynamically controls both the entry and exit rates of the TASEP, and the total particle number in the system. The TASEP can be in the low density, high density, maximal current and shock phases. We show that such a TASEP is different from an open TASEP for all values of available resources: here, the TASEP can support only localised domain walls for any (finite) amount of resources as opposed to delocalised domain walls in open TASEPs. Furthermore, in the limit of infinite resources, the TASEP can be found in its high density phase only for any finite values of the control parameters, in contrast to an open TASEP.