On the Evolution Operator of the Gradient Diffusion Hierarchy for Plane Rotators

• Date: 2001
• Main Authors: Skrypnik, W. I., Скрипник, В. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4386
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using a high-temperature cluster expansion, we construct the evolution operator of the BBGKY-type gradient diffusion hierarchy for plane rotators that interact via a summable pair potential in a Banach space containing the Gibbs (stationary) correlation functions. We prove the convergence of this...