# Minimal constraints for Maximum Caliber analysis of dissipative steady state systems

## TL;DR

This paper demonstrates that Maximum Caliber can effectively analyze dissipative steady-state systems when sufficient constraints are applied, supported by an exactly solvable model illustrating the impact of work and heat fluxes.

## Contribution

It clarifies that the limitations of Max Cal in dissipative systems stem from insufficient constraints, and provides an exactly solvable model validating Max Cal's applicability far from equilibrium.

## Key findings

- Max Cal can handle dissipative processes with proper constraints
- An exactly solvable model illustrates flux effects on trajectory distributions
- Max Cal remains viable for non-equilibrium steady states

## Abstract

Maximum Caliber (Max Cal) is purported to be a general variational principle for Non-Equilibrium Statistical Physics (NESP). But recently, Jack and Evans and Maes have raised concerns about how Max Cal handles dissipative processes. Here, we show that the problem does not lie in Max Cal; the problem is in the use of insufficient constraints. We also present an exactly solvable single-particle model of dissipation, valid far from equilibrium, and its solution by Maximum Caliber. The model illustrates how the influx and efflux of work and heat into a flowing system alters the distribution of trajectories. Maximum Caliber is a viable principle for dissipative systems.