Minimal Model of Stochastic Athermal Systems: Origin of Non-Gaussian Noise

Abstract

For a wide class of stochastic athermal systems, we derive Langevin-like equations driven by non-Gaussian noise, starting from master equations and developing a new asymptotic expansion. We found an explicit condition whereby the non-Gaussian properties of the athermal noise become dominant for tracer particles associated with both thermal and athermal environments. Furthermore, we derive an inverse formula to infer microscopic properties of the athermal bath from the statistics of the tracer particle. We apply our formulation to a granular motor under viscous friction, and analytically obtain the angular velocity distribution function. Our theory demonstrates that the non-Gaussian Langevin equation is the minimal model of athermal systems.

arXiv comment10 pages, 5 figures

References in corpus (34)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Shot Noise in Mesoscopic Conductors
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• Fluctuation theorem for stochastic dynamics
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Steady State Thermodynamics of Langevin Systems
• The Nonequilibrium Thermodynamics of Small Systems
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Stochastic thermodynamics: Principles and perspectives
• Equality connecting energy dissipation with violation of fluctuation-response relation
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Nonequilibrium fluctuations in a resistor
• Velocity Distributions & Density Fluctuations in a 2D Granular Gas
• Power and heat fluctuation theorems for electric circuits
• On the heat flux and entropy produced by thermal fluctuations
• Effective Temperature of Red Blood Cell Membrane Fluctuations
• Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources
• Brownian ratchet in a thermal bath driven by Coulomb friction
• A Josephson junction as a detector of Poissonian charge injection
• Stochastic Energetics for Non-Gaussian Processes
• Characterization of escape times of Josephson Junctions for signal detection
• Heat conduction induced by non-Gaussian athermal fluctuations
• Kinetics of a frictional granular motor
• Full Counting Statistics of Avalanche Transport: an Experiment
• Granular Brownian motion with dry friction
• Fluctuation properties of an effective nonlinear system subject to Poisson noise
• Energetics of active fluctuations in living cells
• Non-equilibrium fluctuations in frictional granular motor: experiments and kinetic theory
• The role of the nature of the noise in the thermal conductance of mechanical systems
• Energy pumping in electrical circuits under avalanche noise
• Non-equilibrium statistical mechanics of the heat bath for two Brownian particles

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• Asymptotic derivation of Langevin-like equation with non-Gaussian noise and its analytical solution
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• Non-Gaussian noise without memory in active matter
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• Divergence of Viscosity in Jammed Granular Materials: A Theoretical Approach
• Field master equation theory of the self-excited Hawkes process
• Brownian particle in a Poisson-shot-noise active bath: exact statistics, effective temperature, and inference
• Ubiquitous power law scaling in nonlinear self-excited Hawkes processes
• Periodic potential can enormously boost free particle transport induced by active fluctuations
• Fluctuation Theorem for a Small Engine and Magnetization Switching by Spin Torque
• Revealing the Nonequilibrium Nature of a Granular Intruder: The Crucial Role of Non-Gaussian Behavior
• Active cage model of glassy dynamics
• Granular rotor as a probe for a non-equilibrium bath
• Mechanism for giant enhancement of transport induced by active fluctuations
• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
• Second-order fluctuation theory and time autocorrelation function for currents
• Conceptual and practical approaches for investigating irreversible processes
• The Langevin equation for systems with a preferred spatial direction
• Exact asymptotic solutions to nonlinear Hawkes processes: a systematic classification of the steady-state solutions
• Statistical features of systems driven by non-Gaussian processes: theory & practice
• Peculiarities of escape kinetics in the presence of athermal noises
• A standard form of master equations for general non-Markovian jump processes: the Laplace-space embedding framework and asymptotic solution
• Effective temperatures for single particle system under dichotomous noise
• Energy exchanges in a damped Langevin-like system with two thermal baths and an athermal reservoir
• Nonequilibrium Langevin dynamics: a demonstration study of shear flow fluctuations in a simple fluid
• Heat flux direction controlled by power-law oscillators under non-Gaussian fluctuations
• Non-Markovianity, entropy production, and Jarzynski equality
• Joint reconstruction and prediction of random dynamical systems under borrowing of strength
• Probing the limits of effective temperature consistency in actively driven systems
• Non-Gaussianity in a quasiclassical electronic circuit