Aging through hierarchical coalescence in the East model

DOI10.1007/s00220-011-1376-9zbMath1237.82029arXiv1012.4912OpenAlexW3124663792MaRDI QIDQ661322

Cyril Roberto, Fabio Martinelli, Cristina Toninelli, Alessandra Faggionato

Publication date: 10 February 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4912

zbMATH Keywords

non-equilibrium thermodynamicsEast modelhierarchical coalescence process

Mathematics Subject Classification ID

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

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Universality results for kinetically constrained spin models in two dimensions, Mixing of the square plaquette model on a critical length scale, Universality in one-dimensional hierarchical coalescence processes, Universality for one-dimensional hierarchical coalescence processes with double and triple merges, Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018, A class of random walks in reversible dynamic environments: antisymmetry and applications to the east model, Coalescence on the real line, Time scale separation and dynamic heterogeneity in the low temperature East model, Mixing time of a kinetically constrained spin model on trees: power law scaling at criticality, Relaxation to equilibrium of generalized east processes on \(\mathbb{Z}^{d}\): renormalization group analysis and energy-entropy competition, Mixing time and local exponential ergodicity of the east-like process in \(\mathbb{Z}^d\), On a front evolution problem for the multidimensional East model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universality in one-dimensional hierarchical coalescence processes
• Small random perturbations of finite- and infinite-dimensional dynamical systems: Unpredictability of exit times
• Facilitated oriented spin models: some non equilibrium results
• The asymmetric one-dimensional constrained Ising model: Rigorous results
• Quasi-stationary measures for conservative dynamics in the infinite lattice
• Universality for one-dimensional hierarchical coalescence processes with double and triple merges
• Kinetically constrained spin models
• Non-Trivial Algebraic Decay in a Soluble Model of Coarsening
• An Introduction to the Theory of Point Processes
• Combinatorics for the East model