Inhomogeneous entropy production in active crystals with point imperfections
arXiv:2306.06400 · doi:10.1088/1751-8121/ad02cc
Abstract
The presence of defects in solids formed by active particles breaks their discrete translational symmetry. As a consequence, many of their properties become space-dependent and different from those characterizing perfectly ordered structures. Motivated by recent numerical investigations concerning the nonuniform distribution of entropy production and its relation to the configurational properties of active systems, we study theoretically and numerically the spatial profile of the entropy production rate when an active solid contains an isotopic mass defect. The theoretical study of such an imperfect active crystal is conducted by employing a perturbative analysis that considers the perfectly ordered harmonic solid as a reference system. The perturbation theory predicts a nonuniform profile of the entropy production extending over large distances from the position of the impurity. The entropy production rate decays exponentially to its bulk value with a typical healing length that coincides with the correlation length of the spatial velocity correlations characterizing the perfect active solids in the absence of impurities. The theory is validated against numerical simulations of an active Brownian particle crystal in two dimensions with Weeks-Chandler-Andersen repulsive interparticle potential.
References in corpus (70)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Active Particles in Complex and Crowded Environments
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- How far from equilibrium is active matter?
- Physical Models of Collective Cell Migration
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
- Full phase diagram of active Brownian disks: from melting to motility-induced phase separation
- A self-propelled particle in an external potential: is there an effective temperature?
- Effective Interactions in Active Brownian Suspensions
- Crystallization in a dense suspension of self-propelled particles
- Spontaneous velocity alignment in Motility-induced Phase Separation
- Multidimensional Stationary Probability Distribution for Interacting Active Particles
- Irreversibility in active matter systems: Fluctuation theorem and mutual information
- Ferromagnetic and antiferromagnetic order in bacterial vortex lattices
- Entropy production in field theories without time reversal symmetry: Quantifying the non-equilibrium character of active matter
- Dense active matter model of motion patterns in confluent cell monolayers
- Generic Properties of Stochastic Entropy Production
- Entropy production and fluctuation theorems for active matter
- Living clusters and crystals from low density suspensions of active colloids
- Hidden entropy production and work fluctuations in an ideal active gas
- Motility-Induced Microphase and Macrophase Separation in a Two-Dimensional Active Brownian Particle System
- Irreversibility and biased ensembles in active matter: Insights from stochastic thermodynamics
- Selective and Collective Actuation in Active Solids
- Entropy production of active particles and for particles in active baths
- Thermodynamic phases in two-dimensional active matter
- Time-(ir)reversibility in active matter: from micro to macro
- Glassy dynamics of athermal self-propelled particles: Computer simulations and a nonequilibrium microscopic theory
- Stochastic thermodynamics for active matter
- Traveling and resting crystals in active systems
- Critical behavior of active Brownian particles
- The nonequilibrium glassy dynamics of self-propelled particles
- The Entropy Production of Ornstein-Uhlenbeck Active Particles: a path integral method for correlations
- Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation
- Non-equilibrium thermodynamics of stochastic systems with odd and even variables
- Active escape dynamics: the effect of persistence on barrier crossing
- Crystallization of self-propelled hard-discs : a new scenario
- Lattice Green functions in all dimensions
- Flowing crystal of self-propelled particles
- Flocking without alignment interactions in attractive active Brownian particles
- Run-and-tumble motion: field theory and entropy production
- Entropy production and work fluctuation relations for a single particle in active bath
- Universality class of the motility-induced critical point in large scale off-lattice simulations of active particles
- Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
- Clausius relation for active particles: what can we learn from fluctuations?
- Entropy production fluctuations encode collective behavior in active matter
- The Parental Active Model: a unifying stochastic description of self-propulsion
- Active crystals on a sphere
- Dynamical Crystallites of Active Chiral Particles
- Stochastic thermodynamics for self-propelled particles
- Entropy production in exactly solvable systems
- Thermodynamics of emergent structure in active matter
- Characterization of MIPS in a suspension of repulsive Active Brownian Particles through dynamical features
- How irreversible are steady-state trajectories of a trapped active particle?
- Entropons as collective excitations in active solids
- Comment on "Entropy Production and Fluctuation Theorems for Active Matter"
- The entropy production of an active particle in a box
- Lorentz forces induce inhomogeneity and fluxes in active systems
- Glassy Dynamics in Chiral Fluids
- Time-reversal symmetry violations and entropy production in field theories of polar active matter
- Time-dependent properties of interacting active matter: dynamical behavior of one-dimensional systems of self-propelled particles
- Active Refrigerators Powered by Inertia
- Dynamical collective memory in fluidized granular materials
- Cage Length Controls the Non-Monotonic Dynamics of Active Glassy Matter
- Work fluctuations of self-propelled particles in the phase separated state
- Anomalous fluctuations in homogeneous fluid phase of active Brownian particles
- Entropy production of active particles in underdamped regime
- Collective drifts in vibrated granular packings: the interplay of friction and structure
- Self-propulsion and self-navigation: Activity is a precursor to jamming