Optimal thermodynamic processes in out-of-equilibrium systems

• Grant number: 20/02170-4
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2020
• End date: April 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcus Vinicius Segantini Bonança
• Grantee: Marcus Vinicius Segantini Bonança
• Host Institution: Instituto de Física Gleb Wataghin (IFGW). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant(s): 24/07052-0 - International Conference on Magnetism, AR.EXT

Abstract

The second law of Thermodynamics imposes severe limitations to the energetic cost of manipulations of physical systems. The minimal cost is only achieved in principle for extremely slow processes which are not feasible in real conditions. Thus, it is mandatory to approach the following problem: which is the thermodynamic process that, in finite time, minimizes the energetic cost of a given manipulation? The corresponding solution is still restrict to very few examples. Although there exists a preliminar theory that applies to a very general class of systems, it is only capable of describing restricted out-of-equilibrium regimes. The present proposal aims to contribute for the solution of this optimisation problem applied to classical or quantum systems in contact with or isolated from a thermal reservoir. The costs in finite time will be quantified either by the thermodynamic work or by entropy production according to the application. From the theoretical point of view, the appropriated tools must yield a formulation of such quantifiers as functionals of the driving protocol. This is something that has been done in our research group at least using perturbative methods for close-to-equilibrium processes. This previous knowledge will be the starting point for a treatment of arbitrarily out-of-equilibrium processes. The desired results will certainly have impact on the analysis of efficiency of mesoscopic thermal engines and on the restrictions imposed by the second law in finite time. (AU)

Scientific publications

(8)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

NAZE, PIERRE; BONANCA, MARCUS V. S.; DEFFNER, SEBASTIAN. Kibble-Zurek Scaling from Linear Response Theory. Entropy, v. 24, n. 5, p. 14-pg., 2022-05-01. (18/06365-4, 18/21285-7, 20/02170-4)

SORIANI, ARTUR; MIRANDA, EDUARDO; DEFFNER, SEBASTIAN; BONANCA, MARCUS V. S.. Shortcuts to Thermodynamic quasistaticity. Physical Review Letters, v. 129, n. 18, p. 6-pg., 2022-10-18. (20/02170-4)

SORIANI, ARTUR; NAZE, PIERRE; BONANCA, MARCUS V. S.; GARDAS, BARTLOMIEJ; DEFFNER, SEBASTIAN. Assessing the performance of quantum annealing with nonlinear driving. PHYSICAL REVIEW A, v. 105, n. 5, p. 9-pg., 2022-05-27. (18/21285-7, 18/06365-4, 20/02170-4)

SORIANI, ARTUR; NAZE, PIERRE; BONANCA, MARCUS V. S.; GARDAS, BARTLOMIEJ; DEFFNER, SEBASTIAN. Three phases of quantum annealing: Fast, slow, and very slow. PHYSICAL REVIEW A, v. 105, n. 4, p. 12-pg., 2022-04-14. (18/06365-4, 18/21285-7, 20/02170-4)

NAZE, PIERRE; BONANCA, MARCUS V. S.. Series Expansion of the Excess Work Using Nonlinear Response Theory. Journal of Statistical Physics, v. 186, n. 2, FEB 2022. (18/06365-4, 18/21285-7, 20/02170-4)

BONANCA, MARCUS V. S.; DEFFNER, SEBASTIAN. luctuation theorem for irreversible entropy production in electrical conductio. Physical Review E, v. 105, n. 1, JAN 24 2022. (20/02170-4)

NAZE, PIERRE; DEFFNER, SEBASTIAN; BONANCA, MARCUS V. S.. Optimal finite-time processes in weakly driven overdamped Brownian motion. JOURNAL OF PHYSICS COMMUNICATIONS, v. 6, n. 8, p. 15-pg., 2022-08-01. (18/06365-4, 20/02170-4, 18/21285-7)

SORIANI, ARTUR; MIRANDA, EDUARDO; BONANCA, MARCUS V. S.. Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems. NEW JOURNAL OF PHYSICS, v. 24, n. 11, p. 22-pg., 2022-11-01. (20/02170-4)