Periodic Reporting for period 1 - ORION (Optimality and Resetting: Investigation On Nonequilibrium)
Reporting period: 2022-10-01 to 2024-09-30
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.
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.
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.
- 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.