Statistics of first-passage times in disordered systems using backward master equations and their exact renormalization rules

2009/11/30 by Cécile Monthus, Cecile Monthus, Thomas Garel · 6 citations
Physics and Astronomy · #Critical exponent #Exponent #Focus (optics) #Hurst exponent #Initial value problem #Master equation #Quantum many-body systems #Random walk #Renormalization #Renormalization group #Square (algebra) #Theoretical and Computational Physics #cond-mat.dis-nn #stochastic dynamics and bifurcation

paper · pdf · doi:10.1088/1751-8113/43/9/095001

published in Journal of Physics A Mathematical and Theoretical 43(9), 095001 (Institute of Physics) · 8 pages, 4 figures

arxiv created 2009/11/30 · openalex publication_date 2010/02/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

International audience

Citations

• Nonequilibrium dynamics of random field Ising spin chains: Exact results via real space renormalization group
• Reaction diffusion models in one dimension with disorder
• Correlation timescales in the Sherrington-Kirkpatrick model
• The exact distribution of the oscillation period in the underdamped one-dimensional Sinai model
• An eigenvalue method for computing the largest relaxation time of disordered systems
• Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Equilibrium of disordered systems: constructing the appropriate valleys in each sample via strong-disorder renormalization in configuration space
• Exact asymptotic results for persistence in the Sinai model with arbitrary drift
• Exact results on Sinai's diffusion
• Internal Energy, Specific Heat and Correlation Function of the Bond-Random Ising Model