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Simple model for nonexponential relaxation in complex dynamics

2004/01/25 by A. Pérez-Madrid, A. Perez-Madrid
Materials Science · Mathematics · Physics and Astronomy · Psychology · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Complex system #Computer science #Diffusion #Dynamics (music) #Field (mathematics) #Hierarchy #Material Dynamics and Properties #Mathematics #Phase (matter) #Phase space #Physics #Psychology #Quantum mechanics #Relaxation (psychology) #Scale (ratio) #Simple (philosophy) #Statistical physics #Theoretical and Computational Physics #Thermodynamics #Variety (cybernetics) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.69.062102

arxiv created 2004/01/25 · openalex publication_date 2004/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The nonexponential relaxation occurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in any time scale becomes apparent in an effective temperature field, which leads to a hierarchy of relaxation times responsible for the slow relaxation phenomena.

Citations