Carnot process with a single particle

Abstract

We determine the statistics of work in isothermal volume changes of a classical ideal gas consisting of a single particle. Combining our results with the findings of Lua and Grosberg [J. Chem. Phys. B 109, 6805 (2005)] on adiabatic expansions and compressions we then analyze the joint probability distribution of heat and work for a microscopic, non-equilibrium Carnot cycle and determine its efficiency at maximum power.

13 pages, 10 figures

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• Single Particle Stochastic Heat Engine
• Heat devices in nonlinear irreversible thermodynamics
• Efficiency of Single Particle Engines
• Finite-Time Thermodynamics of Fluctuations in Microscopic Heat Engines
• Stochastic thermodynamics of fluctuating density fields: Non-equilibrium free energy differences under coarse-graining
• Linear irreversible heat engines based on the local equilibrium assumptions
• Obtaining efficient thermal engines from interacting Brownian particles under time dependent periodic drivings
• Stochastic Thermodynamics of a Particle in a Box
• Nonuniversality of heat engine efficiency at maximum power
• Molecular kinetic analysis of a local equilibrium Carnot cycle
• Operational characteristics of single particle heat engines and refrigerators with time asymmetric protocol
• Efficiency at maximum power output for an engine with a passive piston
• Universal relations and bounds for fluctuations in quasistatic small heat engines
• Non-equilibrium dynamics of the piston in the Szilard engine
• Thermodynamics of slow solutions to the Gas-Piston equations
• Work done on a single-particle gas during an adiabatic compression/expansion process
• Unusual equilibration of a particle in a potential with a thermal wall
• Efficiency at the maximum power output for simple two-level heat engine
• One-particle engine with a porous piston