Controlling Local Thermal States in Classical Many-Body Systems

P. Ben-Abdallah and A. W. Rodriguez
Phys. Rev. Lett. 129, 260602 – Published 23 December 2022
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Abstract

The process of thermalization in many-body systems is driven by complex interactions among subsystems and a surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary nonreciprocal systems close to their equilibrium state. In particular we describe how to (i) force some part of the system to evolve according to a prescribed law during the relaxation process (i.e., thermal targeting probem), (ii) insulate some elements from the rest of the system, or (iii) synchronize their evolution during the relaxation process. We also derive the general conditions a system must fulfill in order that some parts relax toward a minimal temperature with a minimum energetic cost or relax toward a prescribed temperature with a minimum time. Finally, we consider several representative examples in the context of systems exchanging heat radiatively.

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  • Received 19 August 2022
  • Accepted 9 December 2022

DOI:https://doi.org/10.1103/PhysRevLett.129.260602

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Energy Science & TechnologyInterdisciplinary PhysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

P. Ben-Abdallah1,* and A. W. Rodriguez2,†

  • 1Laboratoire Charles Fabry, UMR 8501, Institut d’Optique, CNRS, Université Paris-Saclay, 2 Avenue Augustin Fresnel, 91127 Palaiseau Cedex, France
  • 2Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA

  • *pba@institutoptique.fr
  • arod@princeton.edu

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Issue

Vol. 129, Iss. 26 — 23 December 2022

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