Response theory and phase transitions for the thermodynamic limit of interacting identical systems.

ABSTRACT: We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equilibrium conditions. All systems are nudged towards the common centre of mass. We derive Kramers-Kronig relations and sum rules for the linear susceptibilities obtained through mean field Fokker-Planck equations and then propose corrections relevant for the macroscopic case, which incorporates in a self-consistent way the effect of the mutual interaction between the systems. Such an interaction creates a memory effect. We are able to derive conditions determining the occurrence of phase transitions specifically due to system-to-system interactions. Such phase transitions exist in the thermodynamic limit and are asso

SUBMITTER: Lucarini V 

PROVIDER: S-EPMC7776973 | biostudies-literature | 2020 Dec

REPOSITORIES: biostudies-literature