2003/09/11 by M. Y. Choi, J. Choi, JiYeon Choi · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Canonical ensemble #Classical mechanics #Complex Systems and Time Series Analysis #Computer science #Differential equation #Fokker–Planck equation #Langevin equation #Mathematics #Microcanonical ensemble #Monte Carlo method #Physics #Quantum mechanics #Stability (learning theory) #Statistical Mechanics and Entropy #Statistical ensemble #Statistical physics #Statistics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.91.124101
4 pages, no figure
arxiv created 2003/09/11 · openalex publication_date 2003/09/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a system of globally coupled rotors, described by a set of Langevin equations, and examine the stability of the incoherent phase. The corresponding Fokker-Planck equation, providing a unified description of microcanonical and canonical ensembles, bears a few solutions, depending upon the ensemble. It is found that the stability of each solution varies differently with the temperature, revealing the inequivalence between the two ensembles. This also suggests a physical explanation of the quasistationarity observed in recent numerical results.