Non-equilibrium Statistical Approach to Friction Models

TL;DR

This paper introduces a geometric, holographic approach to modeling friction phenomena, applying non-equilibrium statistical physics and path-integral methods to earthquake models within a higher-dimensional framework.

Contribution

It presents a novel geometric and holographic framework for dissipative systems, specifically modeling earthquake phenomena using non-equilibrium statistical physics and path-integral techniques.

Findings

Formulated earthquake models using geometric dissipative systems.

Incorporated statistical fluctuations via generalized Feynman path-integral.

Provided a new perspective on friction phenomena through higher-dimensional geometry.

Abstract

A geometric approach to the friction phenomena is presented. It is based on the holographic view which has recently been popular in the theoretical physics community. We see the system in one-dimension-higher space. The heat-producing phenomena are most widely treated by using the non-equilibrium statistical physics. We take 2 models of the earthquake. The dissipative systems are here formulated from the geometric standpoint. The statistical fluctuation is taken into account by using the (generalized) Feynman's path-integral.