Exact Solution to Integrable Open Multi-species SSEP and Macroscopic Fluctuation Theory

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• 作者：M. Vanicat
• 关键词：Matrix ansatz ; Integrability ; Exclusion process ; Macroscopic fluctuation theory
• 刊名：Journal of Statistical Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：166
• 期：5
• 页码：1129-1150
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9613
• 卷排序：166

文摘

We introduce a multi-species generalization of the symmetric simple exclusion process with open boundaries. This model possesses the property of being integrable and appears as physically relevant because the boundary conditions can be interpreted as the interaction with particles reservoirs with fixed densities of each species. The system is driven out-of-equilibrium by these reservoirs. The steady state is analytically computed in a matrix product form. This algebraic structure allows us to obtain exact expressions for the mean particle currents and for the one and two-point correlation functions. An additivity principle is also derived from the matrix ansatz and permits the computation of the large deviation functional of the density profile. We also propose a description of the model in the context of the macroscopic fluctuation theory and we check the consistency with the exact computations from the finite size lattice.