Dynamics of Ising models near zero temperature: real-space renormalization approach

DOI10.1088/1742-5468/2013/02/P02037zbMath1456.82754arXiv1212.0643OpenAlexW2086106360MaRDI QIDQ3301525

Cécile Monthus, Thomas Garel

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0643

Mathematics Subject Classification ID

Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics (82C28) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (8)

Large deviations for metastable states of Markov processes with absorbing states with applications to population models in stable or randomly switching environment ⋮ Strong disorder RG approach -- a short review of recent developments ⋮ Dynamical barriers for the random ferromagnetic Ising model on the Cayley tree: traveling-wave solution of the real space renormalization flow ⋮ Dynamical barriers of pure and random ferromagnetic Ising models on fractal lattices ⋮ Low-temperature dynamics of long-ranged spin-glasses: full hierarchy of relaxation times via real-space renormalization ⋮ Star junctions and watermelons of pure or random quantum Ising chains: finite-size properties of the energy gap at criticality ⋮ Real-space renormalization for the finite temperature statics and dynamics of the Dyson long-ranged ferromagnetic and spin-glass models ⋮ Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal cuts in graphs and statistical mechanics
• The Fokker-Planck equation. Methods of solution and applications.
• Random difference equations and renewal theory for products of random matrices
• Glauber dynamics on trees: Boundary conditions and mixing time
• Glauber dynamics on trees and hyperbolic graphs
• On the dynamics of the glass transition on Bethe lattices
• Equilibrium of disordered systems: constructing the appropriate valleys in each sample via strong-disorder renormalization in configuration space
• Non-equilibrium dynamics of disordered systems: understanding the broad continuum of relevant time scales via a strong-disorder RG in configuration space
• Singular behaviour of certain infinite products of random 2 × 2 matrices
• A polynomial algorithm for the min-cut linear arrangement of trees
• Upper and Lower Bounds on the Complexity of the Min-Cut Linear Arrangement Problem on Trees
• Glassy behaviour in the ferromagnetic Ising model on a Cayley tree
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• Statistics of first-passage times in disordered systems using backward master equations and their exact renormalization rules
• Time-Dependent Statistics of the Ising Model
• Random walks in a random environment

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