Exactly solvable model of a passive Brownian heat engine and its comparison with active engines

Abstract

We perform an extensive analysis of passive as well as active micro-heat engines with different single-particle stochastic models. Using stochastic thermodynamics we calculate thermodynamic work, heat, entropy production and efficiency of passive and active Brownian heat engines analytically as well as numerically and compare them. We run the heat engines with a protocol for which the average thermodynamic quantities are calculated exactly for an arbitrary cycle time. We also discuss about the group of protocols for which exact non-quasistatic calculations can be done, completely in the passive engine case and partially in the active engines. We obtain detailed thermodynamics of non-quasistatic (i.e. powerful) single-particle micro heat engines. The quasistatic (i.e. zero power) limit of the results is obtained by taking long (infinite) cycle time. We also study the distributions of position of the confined particle in both passive and active engines. We compare their characteristics in terms of the parameter that measures the competition between the active persistence in the particle position (due to active noises) and the harmonic confinement. We also calculate excess kurtosis that measures the non-Gaussianity of these distributions. Our analysis shows that efficiency of such thermal machine can be enhanced or reduced depending on the activity present in the model.

arXiv comment31 pages, 19 figures

References in corpus (48)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Mechanics and Statistics of Active Matter
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Active Brownian Particles. From Individual to Collective Stochastic Dynamics
• A single-atom heat engine
• A bacterial ratchet motor
• How far from equilibrium is active matter?
• Efficiency at maximum power: An analytically solvable model for stochastic heat engines
• Stochastic thermodynamics: Principles and perspectives
• Brownian Carnot engine
• Universal trade-off between power, efficiency, and constancy in steady-state heat engines
• Active Brownian Motion Tunable by Light
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• The statistical physics of active matter: from self-catalytic colloids to living cells
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• Irreversibility in active matter systems: Fluctuation theorem and mutual information
• Generalized energy equipartition in harmonic oscillators driven by active baths
• Entropy production and fluctuation theorems for active matter
• Cycling tames power fluctuations near optimum efficiency
• Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
• Exact stationary state of a run-and-tumble particle with three internal states in a harmonic trap
• Active Brownian Heat Engines
• Single Particle Stochastic Heat Engine
• Stochastic Stirling engine operating in contact with active baths
• Enhanced diffusion, swelling and slow reconfiguration of a single chain in non-Gaussian active bath
• Active engines: Thermodynamics moves forward
• Thermodynamic cycles with active matter
• Two simple models of classical heat pumps
• Low-dissipation Carnot-like heat engines at maximum efficient power
• A mechanical autonomous stochastic heat engine
• A stochastic heat engine using an active particle
• Stochastic thermodynamics for self-propelled particles
• Dynamics and escape of active particles in a harmonic trap
• Asymptotics of work distributions in non-equilibrium systems
• Underdamped Active Brownian Heat Engine
• Stochastic Work Extraction in a colloidal heat engine in presence of colored noise
• Extracting maximum power from active colloidal heat engines
• Diverging, but negligible power at Carnot efficiency: theory and experiment
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• Non-Gaussian noise without memory in active matter
• Tuning the performance of a micrometer-sized Stirling engine through reservoir engineering
• Stochastic Heat Engine Powered By Active Dissipation
• Diffusion caused by two noises-active and thermal
• Work extraction and performance of colloidal heat engines in viscoelastic baths
• Effects of the non-Markovianity and non-Gaussianity of active environmental noises on engine performance
• Microscopic thermal machines using run-and-tumble particles
• Stochastic thermodynamics of inertial-like Stuart-Landau dimer
• Two coupled, driven Ising spin systems working as an Engine