Nonequilibrium Macroscopic Response Relations for Counting Statistics

TL;DR

This paper introduces a universal symmetry-based framework for understanding and predicting the response of macroscopic nonequilibrium systems, applicable even far from equilibrium and validated through numerical simulations.

Contribution

It presents a novel parameter transitional symmetry that yields exact response relations for macroscopic systems far from equilibrium.

Findings

Derivation of a universal response relation for nonequilibrium systems.

Validation of the theory using the Willamowski-Rossler model.

Applicability to non-stationary and chaotic dynamics.

Abstract

Understanding how macroscopic nonequilibrium systems respond to changes in external or internal parameters remains a fundamental challenge in physics. In this work, we report a parameter transitional symmetry valid for macroscopic dynamics arbitrarily far from equilibrium. The symmetry leads to exact response relations and gives meaningful expansions in both linear and short-time regimes. This framework provides a universal description of macroscopic response phenomena arbitrarily far from equilibrium - including non-stationary processes and time-dependent attractors. The theory is validated and demonstrated numerically using the Willamowski-Rossler model, which exhibits rich dynamical behaviors including limit cycles and chaos.