Random hysteresis loops

DOI10.1214/11-AIHP461zbMath1277.82035arXiv1107.5662OpenAlexW2038298348MaRDI QIDQ1951500

Gioia Carinci

Publication date: 6 June 2013

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5662

zbMATH Keywords

martingalestightnesscritical behaviorstopping timesferromagnetic Ising modelLangevin-type equationmacroscopic fluctuationslimiting probability lawsmean-field Glauber dynamics

Mathematics Subject Classification ID

Gaussian processes (60G15) Stopping times; optimal stopping problems; gambling theory (60G40) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Statistical mechanics of magnetic materials (82D40) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (1)

Weak noise and non-hyperbolic unstable fixed points: sharp estimates on transit and exit times

Cites Work

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• Scaling limits in statistical mechanics and microstructures in continuum mechanics
• Doppler effect in a moving medium
• Differential models of hysteresis
• Pathwise description of dynamic pitchfork bifurcations with additive noise
• A sample-paths approach to noise-induced synchronization: Stochastic resonance in a double-well potential
• Small deviations for Gaussian Markov processes under the sup-norm
• The effect of additive noise on dynamical hysteresis
• Convergence of stochastic processes

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