Title
Geometry of Finite-Time Thermodynamic Cycles With Anisotropic Thermal Fluctuations
Abstract
In contrast to the classical concept of a Carnot engine that alternates contact between heat baths of different temperatures, naturally occurring processes usually harvest energy from anisotropy, being exposed simultaneously to chemical and thermal fluctuations of different intensities. In these cases, the enabling mechanism responsible for transduction of energy is typically the presence of a non-equilibrium steady state (NESS). A suitable stochastic model for such a phenomenon is the Brownian gyrator - a two-degree of freedom stochastically driven system that exchanges energy and heat with the environment. In the context of such a model we present, from a stochastic control perspective, a geometric view of the energy harvesting mechanism that entails a forced periodic trajectory of the system state on the thermodynamic manifold. Dissipation and work output are expressed accordingly as path integrals of a controlled process, and fundamental limitations on power and efficiency are expressed in geometric terms via a relationship to an isoperimetric problem. The theory is presented for high-order systems far from equilibrium and beyond the linear response regime.
Year
DOI
Venue
2022
10.1109/LCSYS.2022.3184912
IEEE CONTROL SYSTEMS LETTERS
Keywords
DocType
Volume
Thermodynamics, Heating systems, Stochastic processes, Manifolds, Trajectory, Heat engines, Geometry, Stochastic control, non-equilibrium thermodynamics, Wasserstein distance, isoperimetric problem, thermodynamic geometry
Journal
6
ISSN
Citations 
PageRank 
2475-1456
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Olga Movilla Miangolarra100.34
Amirhossein Taghvaei200.34
Yongxin Chen39931.89
Tryphon T. Georgiou421136.71