Optimality and Resetting: Investigation On Nonequilibrium

Informations projet

ORION

N° de convention de subvention: 101065902

DOI

10.3030/101065902

Projet clôturé

Date de signature de la CE 22 Août 2022

Date de début 1 Octobre 2022

Date de fin 30 Septembre 2024

Financé au titre de

• Marie Skłodowska-Curie Actions (MSCA)

Coût total

Aucune donnée

Contribution de l’UE

€ 181 152,96

Coordonné par

UNIVERSIDAD DE SEVILLA
Spain

Periodic Reporting for period 1 - ORION (Optimality and Resetting: Investigation On Nonequilibrium)

Période du rapport: 2022-10-01 au 2024-09-30

Résumé du contexte et des objectifs généraux du projet

ORION project (Optimality & Resetting: Investigation On Nonequilibrium) poses three different problems, relevant at both the fundamental and applied level. Apart from their independent relevance, the solution of all three problems will serve to a greater purpose: providing a solid basis for the innovative use of optimal control theory to push the boundaries of knowledge within the general field of Nonequilibrium Statistical Mechanics. More specifically, the research objectives of ORION splits into: (i) the generalization of optimal control theory to connecting nonequilibrium steady states; (ii) the optimization of stochastic heat engines; and (iii) the minimization of first passage time in resetting systems with stochastic return. The achievement of these objectives will provide not only specific answers to pertinent questions for the above hot topics in the field, but also shed light on the future of investigation on nonequilibrium systems. Remarkably, the impact of our research transcends the purely theoretical interest, focusing on problems with future technological potential like the optimization of nanodevices—maximizing their power and/or efficiency.

Travail effectué depuis le début du projet jusqu’à la fin de la période considérée dans le rapport et principaux résultats atteints jusqu’à présent

As detailed in the technical report, all tasks planned in the DoA has been accomplished with very minor variation. The three initial general problems has been rigorously posed and solved under the appropriate physical considerations.

Progrès au-delà de l’état des connaissances et impact potentiel prévu (y compris l’impact socio-économique et les conséquences sociétales plus larges du projet jusqu’à présent)

Our objectives have been successfully fulfilled. We have obtained:
- Optimal connection (minimum time) in a Brownian gyrator.
- Optimal design for innovative Brownian heat engines.
- Application of realistic models stochastic resetting to optimize search processes.

Further details are provided in the technical report.