Dissipation bounds precision of current response to kinetic perturbations

TL;DR

This paper introduces a new inequality that bounds the precision of static current responses to kinetic perturbations in Markov networks, providing tighter dissipation bounds than the standard thermodynamic uncertainty relation.

Contribution

It presents a novel inequality specific to kinetic perturbations, which cannot be derived from the standard TUR and offers a method to optimize response precision.

Findings

The new inequality bounds response precision more tightly than TUR.

Perturbations affecting only kinetics are crucial in biochemistry and nanoelectronics.

The paper provides a procedure to find the optimal response precision for models.

Abstract

The precision of currents in Markov networks is bounded by dissipation via the so-called thermodynamic uncertainty relation (TUR). In our work, we demonstrate a similar inequality that bounds the precision of the static current response to perturbations of kinetic barriers. Perturbations of such type, which affect only the system kinetics but not the thermodynamic forces, are highly important in biochemistry and nanoelectronics. We prove that our inequality cannot be derived from the standard TUR. Instead, it implies the standard TUR and provides an even tighter bound for dissipation. We also provide a procedure for obtaining the optimal response precision for a given model.