摘要翻译：
从理论上研究了非均匀耦合条件下粒子在平行通道上运动时的非对称排斥过程。粒子与硬核排斥相互作用，在两个晶格上朝着相同的方向运动，而在系统的一个特定位置允许通道之间的过渡。提出了一种近似的理论方法，它能准确地描述垂直链节和水平晶格段中的动力学，但忽略了水平和垂直输运之间的相关性。它允许我们计算通道间对称和非对称跃迁的稳态相图、粒子电流和密度。结果表明，在对称耦合的情况下，存在三个固定相，类似于单通道完全不对称排斥过程的情况，并具有局部不均匀性。然而，晶格之间的不对称耦合导致了一个非常复杂的十个定态相图。广泛的蒙特卡罗计算机模拟通常支持理论预测，尽管模拟的定态性质与平均场近似中计算的略有偏差，这表明关联在系统中的重要性。通过分析颗粒电流的约束条件，讨论了颗粒电流的动态特性和相图。
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英文标题：
《Inhomogeneous Coupling in Two-Channel Asymmetric Simple Exclusion
  Processes》
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作者：
K.Tsekouras and A.B.Kolomeisky
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最新提交年份：
2007
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Soft Condensed Matter        软凝聚态物质
分类描述：Membranes, polymers, liquid crystals, glasses, colloids, granular matter
膜，聚合物，液晶，玻璃，胶体，颗粒物质
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英文摘要：
  Asymmetric exclusion processes for particles moving on parallel channels with inhomogeneous coupling are investigated theoretically. Particles interact with hard-core exclusion and move in the same direction on both lattices, while transitions between the channels is allowed at one specific location in the bulk of the system. An approximate theoretical approach that describes the dynamics in the vertical link and horizontal lattice segments exactly but neglects the correlation between the horizontal and vertical transport is developed. It allows us to calculate stationary phase diagrams, particle currents and densities for symmetric and asymmetric transitions between the channels. It is shown that in the case of the symmetric coupling there are three stationary phases, similarly to the case of single-channel totally asymmetric exclusion processes with local inhomogeneity. However, the asymmetric coupling between the lattices lead to a very complex phase diagram with ten stationary-state regimes. Extensive Monte Carlo computer simulations generally support theoretical predictions, although simulated stationary-state properties slightly deviate from calculated in the mean-field approximation, suggesting the importance of correlations in the system. Dynamic properties and phase diagrams are discussed by analyzing constraints on the particle currents across the channels.
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PDF链接：
https://arxiv.org/pdf/711.1507