Thermodynamics and optimal protocols of multidimensional quadratic Brownian systems
Paolo Abiuso, Viktor Holubec, Janet Anders, Zhuolin Ye, Federico Cerisola, Martí Perarnau-Llobet
Abstract
Abstract We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein metric between covariance matrices naturally emerges as the local quantifier of dissipation. General principles of how to apply these geometric tools to identify optimal protocols are discussed. Focusing on the relevant slow-driving limit, we show how these results can be used to analyze cases in which the experimental control over the system is partial.
Topics & Concepts
Quadratic equationLimit (mathematics)CovarianceMathematicsApplied mathematicsMetric (unit)DissipationStatistical physicsWork (physics)Brownian motionThermodynamic limitPhysicsMathematical analysisThermodynamicsStatisticsEconomicsGeometryOperations managementAdvanced Thermodynamics and Statistical MechanicsPhase Equilibria and Thermodynamicsthermodynamics and calorimetric analyses