Self-synchronization of populations of nonlinear oscillators in the thermodynamic limit

Journal Article · Sat Aug 01 04:00:00 EDT 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019689· OSTI ID:5264470

Bonilla, L L; Casado, J M; Morillo, M

A population of identical nonlinear oscillators, subject to random forces and coupled via a mean-field interaction, is studied in the thermodynamic limit. The model presents a nonequilibrium phase transition from a stationary to a time-periodic probability density. Below the transition line, the population of oscillators is in a quiescent state with order parameter equal to zero. Above the transition line, there is a state of collective rhythmicity characterized by a time-periodic behavior of the order parameter and all moments of the probability distribution. The information entropy of the ensemble is a constant both below and above the critical line. Analytical and numerical analyses of the model are provided.

• Research Organization: Universidad de Sevilla (Spain)
• OSTI ID: 5264470
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 48:3/4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
ENTROPY
EQUATIONS
EQUIPMENT
FOKKER-PLANCK EQUATION
MATHEMATICAL MODELS
MATHEMATICS
MEAN-FIELD THEORY
MECHANICS
NOISE
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
PROBABILITY
QUANTUM MECHANICS
STATISTICAL MECHANICS
SYNCHRONIZATION
THERMODYNAMIC PROPERTIES
THERMODYNAMICS