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arXiv 2602.08583cond-mat.stat-mechmath-phmath.MPmath.PR
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竞争漂扩散模型中具有体积排斥的 uphill 传输

Uphill transport in competitive drift-diffusion models with volume exclusion

KU Leuven(荷语鲁汶大学);University of Modena e Reggio Emilia(摩德纳与雷焦艾米利亚大学)

Francesco Casini, Cristian Giardinà, Jacopo Nicolini, Luca Selmi, Cecilia Vernia

AI总结:

本文研究了在体积排斥约束下的漂扩散模型中 uphill 传输现象,通过 SHDL 模型与修改的泊松-涅斯特-普朗克模型的收敛,揭示了其在纳米尺度电解质和离子电子设备中的潜在作用。

摘要:

本文探讨了在体积排斥约束下的漂扩散粒子传输中 uphill 传输(定义为粒子流动方向与菲克扩散定律规定相反的 regime) 。首先,我们展示多物种弱不对称排斥过程(SHDL)的稳态水动力极限自然地预测了外部驱动力空间中精确表征的 uphill regime 。然后,针对正负电荷粒子系统,我们识别出明确的模型假设和扩展,其中 SHDL 收敛到修改的泊松-涅斯特-普朗克模型,从而弥合了基于排斥的粒子模型与工程中常用的连续描述之间的差距。在所采用的近似和简化方面,详细研究了模型在描述粒子流和预测 uphill 传输条件方面的优缺点。结果表明,uphill 传输现象在建模尺度上持续存在,澄清了其发生条件,并表明 uphill 传输可能在纳米尺度电解质、受限离子和离子电子设备以及基于膜的技术中扮演重要角色。

英文摘要:

This paper addresses uphill transport (defined as a regime in which particle flow is opposite to the prescriptions of Fick's diffusion) in drift-diffusion particle transport constrained by volume exclusion. Firstly, we show that the stationary hydrodynamic limit of a multispecies, weakly asymmetric exclusion process (SHDL) naturally predicts precisely characterized uphill regimes in the space of external drivings. Then, with specific reference to systems of oppositely charged particles, we identify well-defined model hypotheses and extensions whereby the SHDL converges to the modified Poisson-Nernst-Planck model, thus bridging the gap between exclusion-based particle models and continuum descriptions commonly used in engineering. The merits and limitations of the models in describing the particle fluxes and predicting uphill transport conditions are investigated in detail with respect to the adopted approximations and simplifications. The results demonstrate the persistence of uphill transport phenomena across modeling scales, clarify the conditions under which they occur, and suggest that uphill transport may play a significant role in nanoscale electrolytes, confined ionic and iontronic devices, and membrane-based technologies.

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。

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