# Dissipation bounds precision of current response to kinetic perturbations

Source: [Dissipation bounds precision of current response to kinetic perturbations](<https://www.sota2.com/research/paper/68fa48951e209131ce930a06>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T06:54:41.619Z

Authors: Krzysztof Ptaszynski, Timur Aslyamov, Massimiliano Esposito

Published: 2024-06-12T16:05:32.000Z

## 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.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2406.08361>)

[PDF](<https://arxiv.org/pdf/2406.08361.pdf>)
