Geometrical formulation of adiabatic pumping as a heat engine
Yuki Hino, Hisao Hayakawa
Abstract
We investigate a heat engine under an adiabatic (Thouless) pumping process. In this process, the extracted work and lower bound on dissipated availability are characterized by a vector potential and a Riemannian metric tensor, respectively. We derive a trade-off relation between the power and effective efficiency. We also explicitly calculate the trade-off relation as well as the power and effective efficiency for a spin-boson model coupled to two reservoirs.
Topics & Concepts
Adiabatic processMetric (unit)Relation (database)LicenseTensor (intrinsic definition)Work (physics)Power (physics)Process (computing)CitationComputer sciencePhysicsStatistical physicsTheoretical physicsMathematicsEngineeringThermodynamicsGeometryData miningWorld Wide WebOperating systemOperations managementAdvanced Thermodynamics and Statistical MechanicsThermal Radiation and Cooling TechnologiesThermal properties of materials