Modeling the Efficiency and Effective Temperature of Bacterial Heat Engines

Abstract

We present a Brownian dynamics simulation of the bacterial Stirling engine studied by Krishnamurthy et al., Nat. Phys. 12, 1134 (2016). In their experimental setup, an overdamped colloid in an optical trap with time-modulated stiffness interacts with a bacterial bath that we represent by an ensemble of overdamped active particles. In the parameter regime of the experiment the thermodynamic performance is governed by an effective temperature and can be parametrized analytically by active Brownian particle models. We quantitatively reproduce the efficiencies reported for the experiments under the assumption that energy exchange with the bath during isochores of the cycle is entirely recuperated and in agreement with the second law.

12 pages, 7 figures

References in corpus (30)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• A nano heat engine beyond the Carnot limit
• Brownian Carnot engine
• A Micrometer-sized Heat Engine Operating Between Bacterial Reservoirs
• The unlikely Carnot efficiency
• Entropy production of active particles and for particles in active baths
• Efficiency statistics at all times: Carnot limit at finite power
• Universal theory of efficiency fluctuations
• Active Brownian Heat Engines
• Stochastic Stirling engine operating in contact with active baths
• Distribution of particle displacements due to swimming microorganisms
• Underdamped stochastic heat engine at maximum efficiency
• Thermodynamic cycles with active matter
• Heating and Cooling are Fundamentally Asymmetric and Evolve Along Distinct Pathways
• The Parental Active Model: a unifying stochastic description of self-propulsion
• Efficiency and Large Deviations in Time-Asymmetric Stochastic Heat Engines
• Analytic Solution of an Active Brownian Particle in a Harmonic Well
• Underdamped Active Brownian Heat Engine
• Stochastic Efficiency for Effusion as a Thermal Engine
• Brownian heat engine with active reservoirs
• Optimisation of an active heat engine
• About thermometers and temperature
• Effects of the non-Markovianity and non-Gaussianity of active environmental noises on engine performance
• Thermodynamically consistent model of an active Ornstein-Uhlenbeck particle
• Optimal finite-time heat engines under constrained control
• Mechanical pressure and work cycle of confined active Brownian particles
• Enhanced diffusivity in microscopically reversible active matter
• Effective dynamics and fluctuations of a trapped probe moving in a fluid of active hard discs
• Effects of the self-propulsion parity on the efficiency of a fuel-consuming active heat engine
• Active Ornstein-Uhlenbeck Model for Bacterial Heat Engines

Cited by in corpus (5)

• Optimizing energy conversion with nonthermal resources in steady-state quantum devices
• Probing the limits of effective temperature consistency in actively driven systems
• A stochastic Stirling engine powered by an active particle
• Optimal constrained control for generally damped Brownian heat engines
• Active Ornstein-Uhlenbeck Model for Bacterial Heat Engines