Integrability in out-of-equilibrium systems

2016/09/27 by E. Ragoucy, Éric Ragoucy
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Ansatz #Chemistry #Integrable system #Markov Chains and Monte Carlo Methods #Mathematical economics #Mathematical physics #Mathematics #Matrix (chemical analysis) #Pure mathematics #Quantum chaos and dynamical systems #Random Matrices and Applications #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1088/1742-6596/804/1/012037

19 pages

arxiv created 2016/09/27 · openalex publication_date 2017/01/01 · arxiv updated 2017/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

This short note presents a summary of the articles arXiv: 1408.5357 , arXiv: 1412.5939 , arXiv: 1603.06796 , arXiv: 1606.01018 , arXiv: 1606.08148 that were done in collaboration with N. CRAMPE, M. EVANS, C. FINN, K. MALLICK and M. VANICAT. It presents an approach to the matrix ansatz of out-of-equilibrium systems with boundaries, within the framework of integrable systems.

Citations

• Integrable approach to simple exclusion processes with boundaries. Review and progress
• Open two-species exclusion processes with integrable boundaries
• Integrable dissipative exclusion process: Correlation functions and physical properties
• Matrix product solution to a 2-species TASEP with open integrable boundaries
• Integrable boundary conditions for multi-species ASEP
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• Boundary conditions for integrable quantum systems
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
• Macroscopic Fluctuation Theory for Stationary Non-Equilibrium States