Tree structures for the current fluctuations in the exclusion process

2009/11/30 by Sylvain Prolhac · 40 citations
Mathematics · Physics and Astronomy · #Algorithm #Asymmetric simple exclusion process #Asymmetry #Computer science #Cumulant #Current (fluid) #Limit (mathematics) #Mathematical analysis #Mathematics #Physics #Process (computing) #Quantum mechanics #Random Matrices and Applications #Simple (philosophy) #State (computer science) #Stationary state #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamic limit #Thermodynamics #Tree (set theory) #cond-mat.stat-mech #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/43/10/105002

published in Journal of Physics A Mathematical and Theoretical 43(10), 105002 (Institute of Physics) · 43 pages

arxiv created 2010/02/22 · openalex publication_date 2010/02/22 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

43 pages

Citations

• A combinatorial solution for the current fluctuations in the exclusion process
• Spectral Degeneracies in the Totally Asymmetric Exclusion Process
• The surface statistics of a granular aggregate
• Distribution of current in nonequilibrium diffusive systems and phase transitions
• Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
• Current fluctuations in the exclusion process and Bethe ansatz
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• Bethe ansatz solution for crossover scaling functions of the asymmetric XXZ chain and the Karder--Parisi--Zhang-type growth model
• Universal cumulants of the current in diffusive systems on a ring
• Statistical self-similarity of one-dimensional growth processes

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