Work probability distribution and tossing a biased coin

TL;DR

This paper links rare events in dissipated work to large deviations in biased coin tossing, providing a system-independent method to construct work probability distributions relevant to Jarzynski equality.

Contribution

It introduces a novel framework connecting work fluctuations to biased coin tosses, enabling system-independent modeling of work distributions.

Findings

Quantitative work probability distribution derived from coin toss analogy

Framework applicable to modeling rare events in physical phenomena

Method independent of system-specific details

Abstract

We show that the rare events present in dissipated work that enters Jarzynski equality, when mapped appropriately to the phenomenon of large deviations found in a biased coin toss, are enough to yield a quantitative work probability distribution for Jarzynski equality. This allows us to propose a recipe for constructing work probability distribution independent of the details of any relevant system. The underlying framework, developed herein, is expected to be of use in modelling other physical phenomena where rare events play an important role.