2011/02/13 by J. Frenkel, J Frenkel, Frenkel, J +3
Biochemistry, Genetics and Molecular Biology · Materials Science · Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Gene Regulatory Network Analysis #Machine Learning in Materials Science #Other Condensed Matter (cond-mat.other) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.1102.2610
Revised version is available
openalex publication_date 2011/02/13 · arxiv created 2012/01/23 · arxiv updated 2012/01/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The validity of the Langevin equation (both classical and quantum) is studied in cases when not all the equations of motion are linear. In particular, a model is studied in which the interaction is bilinear in the environment variables. We conclude that the equation is valid only for frequencies close to the frequency of the system alone. If the equation of motion of the system alone is nonlinear, we are unable to find a condition for the validity of the Langevin equation.