Optimality and Resetting: Investigation On Nonequilibrium

Projektinformationen

ORION

ID Finanzhilfevereinbarung: 101065902

DOI

10.3030/101065902

Projekt abgeschlossen

EK-Unterschriftsdatum 22 August 2022

Startdatum 1 Oktober 2022

Enddatum 30 September 2024

Finanziert unter

• Marie Skłodowska-Curie Actions (MSCA)

Gesamtkosten

Keine Daten

EU-Beitrag

€ 181 152,96

Koordiniert durch

UNIVERSIDAD DE SEVILLA
Spain

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

Berichtszeitraum: 2022-10-01 bis 2024-09-30

Zusammenfassung vom Kontext und den Gesamtzielen des Projekts

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.

Arbeit, die ab Beginn des Projekts bis zum Ende des durch den Bericht erfassten Berichtszeitraums geleistet wurde, und die wichtigsten bis dahin erzielten Ergebnisse

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.

Fortschritte, die über den aktuellen Stand der Technik hinausgehen und voraussichtliche potenzielle Auswirkungen (einschließlich der bis dato erzielten sozioökonomischen Auswirkungen und weiter gefassten gesellschaftlichen Auswirkungen des Projekts)

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.