Power-efficiency-dissipation relations in linear thermodynamics

Abstract

We derive general relations between maximum power, maximum efficiency, and minimum dissipation regimes from linear irreversible thermodynamics. The relations simplify further in the presence of a particular symmetry of the Onsager matrix, which can be derived from detailed balance. The results are illustrated on a periodically driven system and a three terminal device subject to an external magnetic field.

References in corpus (47)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Efficiency at maximum power of low dissipation Carnot engines
• Universality of efficiency at maximum power
• Fluctuation theorems for stochastic dynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Most efficient quantum thermoelectric at finite power output
• Three-Terminal Energy Harvester with Coupled Quantum Dots
• Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
• Quantum-dot Carnot engine at maximum power
• Efficiency at maximum power of Feynman's ratchet as a heat engine
• Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
• Efficiency at maximum power of minimally nonlinear irreversible heat engines
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
• Efficiency statistics at all times: Carnot limit at finite power
• Efficiency of molecular motors at maximum power
• Reaching optimal efficiencies using nano-sized photo-electric devices
• Thermoelectric transport of mesoscopic conductors coupled to voltage and thermal probes
• Onsager coefficients of a finite-time Carnot cycle
• Chiral thermoelectrics with quantum Hall edge states
• Three-terminal thermoelectric transport through a molecule placed on an Aharonov-Bohm ring
• Stochastic approach to equilibrium and nonequilibrium thermodynamics
• Multi-terminal Thermoelectric Transport in a Magnetic Field: Bounds on Onsager Coefficients and Efficiency
• Onsager coefficients in periodically driven systems
• Optimal performance of periodically driven, stochastic heat engines under limited control
• Efficiency at maximum power of interacting molecular machines
• Exactly solvable model of stochastic heat engine: Optimization of power, its fluctuations and efficiency
• Efficiency of three-terminal thermoelectric transport under broken-time reversal symmetry
• Efficiency at and near Maximum Power of Low-Dissipation Heat Engines
• Heat diode and engine based on quantum Hall edge states
• Efficiency at maximum power output of quantum heat engines under finite-time operation
• Work Output and Efficiency at Maximum Power of Linear Irreversible Heat Engines Operating with a Finite-Sized Heat Source
• Maximum efficiency of steady-state heat engines at arbitrary power
• Quantum heat engines based on electronic Mach-Zehnder interferometers
• Thermodynamics of the mesoscopic thermoelectric heat engine beyond the linear-response regime
• Mimicking Nonequilibrium Steady States with Stochastic Pumps
• Thermodynamic bounds and general properties of optimal efficiency and power in linear responses
• Onsager coefficients of a Brownian Carnot cycle
• Constitutive Relation for Nonlinear Response and Universality of Efficiency at Maximum Power for Tight-Coupling Heat Engines
• A Classical Nernst Engine
• Universality of energy conversion efficiency for optimal tight-coupling heat engines and refrigerators
• Geometric Heat Engines Featuring Power that Grows with Efficiency
• Efficiency and dissipation in a two-terminal thermoelectric junction, emphasizing small dissipation
• Linear and non-linear thermodynamics of a kinetic heat engine with fast transformations
• Temperature response in nonequilibrium stochastic systems
• Incompatibility between Carnot efficiency and finite power in Markovian dynamics

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• Phase transition in protocols minimizing work fluctuations
• Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
• Carnot efficiency at divergent power output
• A geometric bound on the efficiency of irreversible thermodynamic cycles
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• Extracting maximum power from active colloidal heat engines
• Optimal work-to-work conversion of a nonlinear quantum brownian duet
• Optimal finite-time Brownian Carnot engine
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• Unconventional four-terminal thermoelectric transport due to inelastic transport: cooling by transverse current, transverse thermoelectric effect and Maxwell demon
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• Multitask quantum thermal machines and cooperative effects
• Maximal power for heat engines: role of asymmetric interaction times
• Stochastic thermodynamics for a periodically driven single-particle pump
• Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
• Thermodynamics of collisional models for Brownian particles: General properties and efficiency
• Quantum jump approach to microscopic heat engines
• Optimal efficiency and power and their trade-off in three-terminal quantum thermoelectric engines with two output electric currents
• Efficiency at maximum power of a Carnot quantum information engine
• Exactly solvable two-terminal heat engine with asymmetric Onsager coefficients: Origin of the power-efficiency bound
• Linear Stochastic Thermodynamics
• Quantum-enhanced performance in superconducting Andreev-reflection engines
• Thermoelectric energy converters under a trade-off figure of merit with broken time-reversal symmetry
• Hierarchical Onsager symmetries in adiabatically driven linear irreversible heat engines
• General relations between the power, efficiency and dissipation for the irreversible heat engines in the nonlinear response regime
• Thermodynamics of energy, charge and spin currents in thermoelectric quantum-dot spin valve
• Optimization of stochastic thermodynamic machines
• Coulomb thermoelectric drag in four-terminal mesoscopic quantum transport
• General linear thermodynamics for periodically driven systems with multiple reservoirs
• Adaptive heat engine
• Entropy production and heat transport in harmonic chains under time dependent periodic drivings
• Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
• Physical Limitations of Work Extraction from Temporal Correlations
• Exact distribution for work and stochastic efficiency of an isothermal machine
• Geometric characterization for cyclic heat engines far from equilibrium
• Characterization and optimization of heat engines: Pareto-optimal fronts and universal features
• Heat and charge current fluctuations and the time dependent coefficient of performance for a nanoscale refrigerator
• Optimization of a class of heat engines with explicit solution
• Power-Efficiency Constraint for Chemical Motors
• Efficiency and power of minimally nonlinear irreversible heat engines with broken time-reversal symmetry
• Energetics of a Microscopic Feynman Ratchet
• Thermodynamic uncertainty relation for systems with active Ornstein-Uhlenbeck particles
• Optimal control strategy for collisional Brownian engines
• Steady-state heat engines driven by finite reservoirs
• Geometric Bounds on the Power of Adiabatic Thermal Machines