Progressive quenching - Globally coupled model

Abstract

We study the processes in which fluctuating elements of a system are progressively fixed (quenched) while keeping the interaction with the remaining unfixed elements. If the interaction is global among the Ising spin elements and if the unfixed part is re-equilibrated each time after fixing an element, the evolution of large system is martingale about the equilibrium spin value of the unfixed spins. Due to this property the system starting from the critical point yields the final magnetization whose distribution shows non-Gaussian and slow transient scaling with the system.

4 pages, 3 figures. To appear in PRE

References in corpus (3)

• Fingering versus stability in the limit of zero interfacial tension
• Statistics of Infima and Stopping Times of Entropy Production and Applications to Active Molecular Processes
• Anisotropic super-attenuation of capillary waves on driven glass interfaces

Cited by in corpus (10)

• Integral Fluctuation Relations for Entropy Production at Stopping Times
• Quantum Martingale Theory and Entropy Production
• Exact Distributions of Currents and Frenesy for Markov Bridges
• Martingales for physicists: A treatise on stochastic thermodynamics and beyond
• Martingale theory for housekeeping heat
• Memory Through a Hidden Martingale Process in Progressive Quenching
• Martingale-induced local invariance in Progressive Quenching
• Progressive quenching --- Ising chain models
• Martingale drift of Langevin dynamics and classical canonical spin statistics
• Interplay between Markovianity and Progressive Quenching