Vlasov scaling for the Glauber dynamics in continuum

Abstract

We consider Vlasov-type scaling for the Glauber dynamics in continuum with a positive integrable potential, and construct rescaled and limiting evolutions of correlation functions. Convergence to the limiting evolution for the positive density system in infinite volume is shown. Chaos preservation property of this evolution gives a possibility to derive a non-linear Vlasov-type equation for the particle density of the limiting system.

32 pages

References in corpus (3)

• Vlasov scaling for stochastic dynamics of continuous systems
• An approximative approach to construction of the Glauber dynamics in continuum
• Correlation functions evolution for the Glauber dynamics in continuum

Cited by in corpus (3)

• Vlasov scaling for stochastic dynamics of continuous systems
• Operator approach to Vlasov scaling for some models of spatial ecology
• Glauber Dynamics in Continuum: A Constructive Approach to Evolution of States