Property of Mixing of Continuous Classical Systems with Strong Superstable Interactions

Autor:	O. L. Rebenko, M. V. Tertychnyi
Rok vydání:	2017
Předmět:	Property (philosophy) General Mathematics 010102 general mathematics Radius Finite range 01 natural sciences Simple (abstract algebra) 0103 physical sciences Point (geometry) 010307 mathematical physics 0101 mathematics Algebra over a field Mixing (physics) Mathematical physics Mathematics
Zdroj:	Ukrainian Mathematical Journal. 69:1262-1274
ISSN:	1573-9376 0041-5995
Popis:	We consider an infinite system of point particles in $$ {\mathrm{\mathbb{R}}}^d $$ interacting via a strong superstable two-body potential ϕ of finite range with radius R. In the language of correlation functions, we obtain a simple proof of the decay of correlations between two clusters (groups of variables) in the case where the distance between these clusters is larger than the radius of interaction. The established result is true for sufficiently small values of the activity of particles.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f2a2ab40106d890047382bba3de663aa https://doi.org/10.1007/s11253-017-1429-0 Zobrazit plný text záznamu Full text from SpringerLink