2007/07/26 by D. V. Prokhorenko, Prokhorenko, D. V.
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.0707.3949
openalex publication_date 2007/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for nonequilibrium matter and closely related to the divergences in the kinetic theory of gases. We suggest a scheme of renormalization of such divergences and illustrate it on some examples. In the other papers of these series we develop the general theory of renormalization of nonequilibrium diagram technique. The fact that thermal divergences in non-equilibrium diagram technique can be renormalized leads to the following consequence: to prove that the system tends to the thermal equilibrium one should to take into account the behaviour of the system on its boundary. In this paper we illustrate this fact on Bogoliubov derivation of kinetic equations.