Fluctuation Theorem and Central Limit Theorem for the Time-Reversible Nonequilibrium Baker Map

TL;DR

This paper uses the time-reversible Baker Map to illustrate fundamental statistical theorems like the Fluctuation Theorem and the Central Limit Theorem in a simple, pedagogical manner.

Contribution

It introduces a simple, illustrative model demonstrating key nonequilibrium statistical theorems and prepares material for educational purposes based on previous lectures.

Findings

Demonstrates Fluctuation Theorem using Baker Map

Shows Central Limit Theorem in a nonequilibrium context

Provides a basis for educational material on statistical theorems

Abstract

The nonequilibrium Time-Reversible Baker Map provides simple illustrations of the Fluctuation Theorem, the Central Limit Theorem, and the Biased Random Walk. This is material in preparation for the Book form of Carol's and my 2016 Kharagpur Lectures.