PAPER: Classical statistical mechanics, equilibrium and non-equilibrium Matrix product solution to multispecies ASEP with open boundaries

C Finn; E Ragoucy; M Vanicat

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PAPER: Classical statistical mechanics, equilibrium and non-equilibrium Matrix product solution to multispecies ASEP with open boundaries

机译：纸质：典型统计力学，平衡和非平衡矩阵产品解决方案与开放边界的多层ASEP

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We study a class of multi-species ASEP with open boundaries. The boundaries are chosen in such a way that all species of particles interact non-trivially with the boundaries, and are present in the stationary state. We give the exact expression of the stationary state in a matrix product form, and compute its normalisation. Densities and currents for the different species are then computed in terms of this normalisation.

机译：我们研究一类具有开放边界的多种多种ASEP。以这样的方式选择边界，使得所有种类的颗粒与边界都不相互作用，并且存在于静止状态。我们以矩阵产品形式提供静止状态的确切表达，并计算其归一化。然后根据这种归一化计算不同物种的密度和电流。

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来源
《Journal of statistical mechanics: Theory and Experiment》 |2018年第4期|共28页
作者
C Finn; E Ragoucy; M Vanicat;
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作者单位

Laboratoire de Physique Théorique LAPTh CNRS and Université Savoie Mont Blanc 9 chemin de Bellevue BP 110 F-74941 Annecy-le-Vieux Cedex France;

Laboratoire de Physique Théorique LAPTh CNRS and Université Savoie Mont Blanc 9 chemin de Bellevue BP 110 F-74941 Annecy-le-Vieux Cedex France;

Laboratoire de Physique Théorique LAPTh CNRS and Université Savoie Mont Blanc 9 chemin de Bellevue BP 110 F-74941 Annecy-le-Vieux Cedex France;

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原文格式 PDF
正文语种 eng
中图分类统计物理学;
关键词
exclusion processes; rigorous results in statistical mechanics; solvable lattice models; stationary states;

机译：排除过程;统计力学的严格结果;可解决格子模型;静止状态;

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专利

1. PAPER: Classical statistical mechanics, equilibrium and non-equilibrium Matrix product solution to multispecies ASEP with open boundaries [J] . C Finn, E Ragoucy, M Vanicat Journal of statistical mechanics: Theory and Experiment . 2018,第4期

机译：纸质：典型统计力学，平衡和非平衡矩阵产品解决方案与开放边界的多层ASEP
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机译：纸质：随机三分性固有频率的分数广义Langevin方程中古典统计力学，平衡和非平衡Mittag-Leffler噪声诱导的共振行为
3. PAPER: Classical statistical mechanics, equilibrium and non-equilibrium A strongly coupled open system with a non-linear bath: fluctuation–dissipation and Langevin dynamics [J] . Chitrak Bhadra Journal of statistical mechanics: Theory and Experiment . 2018,第3期

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5. Non-equilibrium Statistical Mechanics of Self-Propelled Particles [D] . Hancock, Benjamin R. 2018

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6. Entropy and Non-Equilibrium Statistical Mechanics [O] . Róbert Kovács, Antonio M. Scarfone, Sumiyoshi Abe 2020

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7. Classical and quantum models in non-equilibrium statistical mechanics: moment methods and long-time approximations [O] . Fernández Álvarez-Estrada Ramón 2012

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8. Statistical Mechanics of Equilibrium, Non-Equilibrium and Quantum Many-Body Processes [R] . Lebowitz, J. L. 1967

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PAPER: Classical statistical mechanics, equilibrium and non-equilibrium Matrix product solution to multispecies ASEP with open boundaries

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