We consider infinite classical systems of particles interacting via a smooth, stable and regular two–body potential. We establish a new direct integration method to construct the solutions of the stationary BBGKY hierarchy, assuming the usual Gaussian distribution of momenta. We prove equivalence between the corresponding infinite hierarchy and the Kirkwood–Salsburg equa- tions. A problem of existence and uniqueness of the solutions of the hierarchy with appropriate boundary conditions is thus solved for low densities. The result is extended in a milder sense to systems with a hard core interaction.

On the stationary BBGKY hierarchy for equilibrium states / Genovese, G; Simonella, S. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 148:1(2012), pp. 89-112.

On the stationary BBGKY hierarchy for equilibrium states

Simonella S
2012

Abstract

We consider infinite classical systems of particles interacting via a smooth, stable and regular two–body potential. We establish a new direct integration method to construct the solutions of the stationary BBGKY hierarchy, assuming the usual Gaussian distribution of momenta. We prove equivalence between the corresponding infinite hierarchy and the Kirkwood–Salsburg equa- tions. A problem of existence and uniqueness of the solutions of the hierarchy with appropriate boundary conditions is thus solved for low densities. The result is extended in a milder sense to systems with a hard core interaction.
2012
BBGKY; hierarchy; Kirkwood-Salsburg
01 Pubblicazione su rivista::01a Articolo in rivista
On the stationary BBGKY hierarchy for equilibrium states / Genovese, G; Simonella, S. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - 148:1(2012), pp. 89-112.
File allegati a questo prodotto
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1675462
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? 4
social impact