Work

Markovian description of a wide class of feedback-controlled systems: application to the feedback flashing ratchet

Year: 2024

Type: article

Abstract: In feedback-controlled systems, an external agent—the feedback controller—measures the state of the system and modifies its subsequent dynamics depending on the outcome of the measurement. In this paper, we build a Markovian description for the joint stochastic process that comprises both the system and the controller variables. This Markovian description is valid for a wide class of feedback-controlled systems, allowing for the inclusion of errors in the measurement. The general framework is motivated and illustrated with the paradigmatic example of the feedback flashing ratchet.

Source: Journal of Statistical Mechanics Theory and Experiment

DOI: 10.1088/1742-5468/ad64bb

Authors: Natalia Ruiz-Pino, Antonio Prados

Institution: Universidad de Sevilla

Language: English

Topic: Advanced Thermodynamics and Statistical Mechanics

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Junta de Andalucía, European Regional Development Fund, Agencia Estatal de Investigación