Heat Dissipation Rate in a Nonequilibrium Viscoelastic Medium
arXiv:1910.12936 · doi:10.1088/1742-5468/ab7e2f
Abstract
A living non-Newtonian matter like the cell cortex and tissues are driven out-of-equilibrium at multiple spatial and temporal scales. The stochastic dynamics of a particle embedded in such a medium are non-Markovian, given by a generalized Langevin equation. Due to the non-Markovian nature of the dynamics, the heat dissipation and the entropy production rate cannot be computed using the standard methods for Markovian processes. In this work, to calculate heat dissipation, we use an effective Markov description of the non-Markovian dynamics, which includes the degrees-of-freedom of the medium. Specifically, we calculate entropy production and heat dissipation rate for a spherical colloid in a non-Newtonian medium whose rheology is given by a Maxwell viscoelastic element in parallel with a viscous fluid element, connected to different temperature baths. This problem is nonequilibrium for two reasons: the medium is nonequilibrium due to different effective temperatures of the bath, and the particle is driven out-of-equilibrium by an external stochastic force. When the medium is nonequilibrium, the effective non-Markov dynamics of the particle may lead to a negative value of heat dissipation and entropy production rate. The positivity is restored when the medium's degree-of-freedom is considered. When the medium is at equilibrium, and the only nonequilibrium component is the external driving, the correct dissipation is obtained from the effective description of the particle.
arXiv comment6 pages, 2 figures
References in corpus (29)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- The Mechanics and Statistics of Active Matter
- How far from equilibrium is active matter?
- Equality connecting energy dissipation with violation of fluctuation-response relation
- The Three Faces of the Second Law: I. Master Equation Formulation
- Broken detailed balance and non-equilibrium dynamics in living systems
- The Three Faces of the Second Law: II. Fokker-Planck Formulation
- Generalized energy equipartition in harmonic oscillators driven by active baths
- Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
- Fluctuations and Rheology in Active Bacterial Suspensions
- Hidden entropy production and work fluctuations in an ideal active gas
- Stochastic thermodynamics for active matter
- Non-Markovianity and negative entropy production rates
- Energy dissipation and violation of the fluctuation-response relation in non-equilibrium Langevin systems
- Exact master equation for a spin interacting with a spin bath: Non-Markovianity and negative entropy production rate
- Stochastic thermodynamics of active Brownian particles
- Thermodynamic meaning and power of non-Markovianity
- Heat, temperature and Clausius inequality in a model for active brownian particles
- Dynamics of a polymer in an active and crowded environment
- Fluidization of epithelial sheets by active cell rearrangements
- Origins and diagnostics of the nonequilibrium character of active systems
- Entropy Production Rate is Maximized in Non-Contractile Actomyosin
- Effects of active fluctuations on energetics of a colloidal particle: superdiffusion, dissipation and entropy production
- Stationary and transient Fluctuation Theorems for effective heat flux between hydrodynamically coupled particles in optical traps
- Energy flow between two hydrodynamically coupled particles kept at different effective temperatures
- Non-equilibrium scaling behaviour in driven soft biological assemblies
- Non-adiabatic entropy production for non-Markov dynamics
- Additivity, density fluctuations, and nonequilibrium thermodynamics for active Brownian particles
- Mesoscopic non-equilibrium measures can reveal intrinsic features of the active driving