粒子间相互作用对两种物质纳米通道输运热力学的影响
Impact of Interparticle Interaction on Thermodynamics of Nano-Channel Transport of Two Species
摘要：
我们提出了一个严格的数学方法的两个物种的通道输运的框架内的随机热力学，解释了粒子间的通道相互作用的影响。与平均场方法不同，该模型通过考虑信道占用状态之间的随机转换来显式地保持空间相关性。粒子间的相互作用决定了这些物种相互作用的布朗棘轮式整流力。通过吸引空通道和相同种类的粒子之间的强排斥力，出现了完美的传输耦合。然后将随机变迁限制在一个具有循环拓扑的子空间中，使得两种种群的通道流等价。对于相反的浓度梯度，这使得具有更强梯度的物种成为驱动力，正熵产生一个，另一个被驱动并产生负熵。一个物种的粒子内具有较小排斥力的微分相互作用，但另一个物种保持这种相互作用，为这个圆形子空间添加了一条旁路。在这条路径上的泄漏流的排斥粒子间的相互作用较少的物种出现，这是平行于其浓度梯度，因此，产生正熵。现在，适当的强相反浓度梯度可以同时使它们各自的物种平行流动，这使得每个物种产生正熵。具有旁路选项的物质的整流电势减小，这意味着存在其他物质的梯度，在该梯度之上，其流动和梯度总是平行的。相反，耦合程度较低的物质的流动可能总是通过另一种物质的足够强的相反梯度而反向平行于其梯度。
英文摘要：
We present a rigorous mathematical approach of two species channel transport within the framework of stochastic thermodynamics, which explains the impact of interparticle in-channel interactions. Different from mean field approaches, the model explicitly conserves spatial correlations by considering stochastic transitions between the channel's occupation states. The interparticle interactions determine the Brownian ratchet like rectifying forces, which these species exert mutually on each other. Perfect coupling of transport emerges by an attractive empty channel and strong repulsive forces between particles of the same species. Stochastic transitions are then confined to a subspace with circular topology, which makes channel flows of both species become equivalent. For opposing concentration gradients, this makes the species with the stronger gradient the driving, positive entropy producing one, the other is driven and produces negative entropy. A differential interaction with less repulsive forces within particles of one species, but maintenance of this interaction for the other species, adds a bypass path to this circular subspace. On this path a leak flow of the species with less repulsive interparticle interaction emerges, which is directed parallel to its concentration gradient, and, hence, produces positive entropy. Now, appropriate strong opposing concentration gradients may simultaneously parallelize flow of their respective species, which makes each species produce positive entropy. The rectifying potential of the species with the bypass option is diminished, which implies the existence of a gradient of the other species, above which its flow and gradient are always parallel. Conversely flow of the less coupled species may always be turned anti-parallel to its gradient by a sufficient strong opposing gradient of the other one.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
