Evolution of Observables and Quasiobservables in Classical Statistical Mechanics

Gerasimenko,; Kondratiev,; Kuna, Tobias; Petrina,

doi:10.5488/cmp.3.2.239

Search citation statements

Order By: Relevance

Paper Sections

Select...

The Dual Bbgky Hierarchy With Hard Sphere Collisions1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2018

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this case a local in time existence of the mean value functionals ( (0), ( )) and ( ( ), (0)) was proved in papers [7], [10] and [34], [35], respectively.…”

Section: The Dual Bbgky Hierarchy With Hard Sphere Collisionsmentioning

confidence: 99%

Low-Density Asymptotic Behavior of Observables of Hard Sphere Fluids

Gerasimenko

Gapyak

2018

Advances in Mathematical Physics

View full text Add to dashboard Cite

The paper deals with a rigorous description of the kinetic evolution of a hard sphere system in the low-density (BoltzmannGrad) scaling limit within the framework of marginal observables governed by the dual BBGKY (Bogolyubov-BornGreen-Kirkwood-Yvon) hierarchy. For initial states specified by means of a one-particle distribution function, the link between the Boltzmann-Grad asymptotic behavior of a nonperturbative solution of the Cauchy problem of the dual BBGKY hierarchy for marginal observables and a solution of the Boltzmann kinetic equation for hard sphere fluids is established. One of the advantages of such an approach to the derivation of the Boltzmann equation is an opportunity to describe the process of the propagation of initial correlations in scaling limits.

show abstract

“…In this case a local in time existence of the mean value functionals ( (0), ( )) and ( ( ), (0)) was proved in papers [7], [10] and [34], [35], respectively.…”

Section: The Dual Bbgky Hierarchy With Hard Sphere Collisionsmentioning

confidence: 99%