Thermodynamic uncertainty relation for underdamped Langevin systems driven by a velocity-dependent force
arXiv:1907.06221 · doi:10.1103/PhysRevE.100.062132
Abstract
Recently, it has been shown that there is a trade-off relation between thermodynamic cost and current fluctuations, referred to as the thermodynamic uncertainty relation (TUR). The TUR has been derived for various processes, such as discrete-time Markov jump processes and overdamped Langevin dynamics. For underdamped dynamics, it has recently been reported that some modification is necessary for application of the TUR. In this study, we present a more generalized TUR, applicable to a system driven by a velocity-dependent force in the context of underdamped Langevin dynamics, by extending the theory of Vu and Hasegawa [preprint arXiv:1901.05715]. We show that our TUR accurately describes the trade-off properties of a molecular refrigerator (cold damping), Brownian dynamics in a magnetic field, and an active particle system.
arXiv comment10 pages
References in corpus (55)
- Novel type of phase transition in a system of self-driven particles
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Active Brownian Particles. From Individual to Collective Stochastic Dynamics
- Thermodynamic uncertainty relation for biomolecular processes
- Dissipation bounds all steady-state current fluctuations
- How far from equilibrium is active matter?
- Cooling of a mirror by radiation pressure
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Active Brownian Particles and Run-and-Tumble Particles: a Comparative Study
- The power of a critical heat engine
- Universal trade-off relation between power and efficiency for heat engines
- Proof of the Finite-Time Thermodynamic Uncertainty Relation for Steady-State Currents
- Thermodynamic Bounds on Efficiency for Systems with Broken Time-reversal Symmetry
- From Phase to Micro-Phase Separation in Flocking Models: The Essential Role of Non-Equilibrium Fluctuations
- Fluctuation theorem uncertainty relation
- Finite-time generalization of the thermodynamic uncertainty relation
- Effective temperature of active matter
- Introduction to dynamical large deviations of Markov processes
- Discrete-time thermodynamic uncertainty relation
- Revisiting the flocking transition using active spins
- Entropy production and fluctuation theorems for active matter
- Cost and Precision of Brownian Clocks
- Strong bounds on Onsager coefficients and efficiency for three terminal thermoelectric transport in a magnetic field
- Inferring dissipation from current fluctuations
- Cycling tames power fluctuations near optimum efficiency
- Unified thermodynamic uncertainty relations in linear response
- Entropy production in full phase space for continuous stochastic dynamics
- Uncertainty relations in stochastic processes: An information inequality approach
- Carnot Cycle at Finite Power: Attainability of Maximal Efficiency
- Activity driven fluctuations in living cells
- Bounds on current fluctuations in periodically driven systems
- Non-equilibrium thermodynamics of stochastic systems with odd and even variables
- Entropic bounds on currents in Langevin systems
- Stochastic thermodynamics of active Brownian particles
- A generalization of the thermodynamic uncertainty relation to periodically driven systems
- Onsager coefficients in periodically driven systems
- Full mechanical characterization of a cold damped mirror
- Entropy Production of Brownian Macromolecules with Inertia
- Uncertainty relations for underdamped Langevin dynamics
- Physical insight into the thermodynamic uncertainty relation using Brownian motion in tilted periodic potentials
- Active Brownian particles: Entropy production and fluctuation-response
- Effect of a magnetic field on the thermodynamic uncertainty relation
- Fluctuation theorems in general stochastic processes with odd-parity variables
- Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
- Efficiency at maximum power and efficiency fluctuations in a linear Brownian heat engine model
- Carnot efficiency is reachable in an irreversible process
- Comment on "Entropy Production and Fluctuation Theorems for Active Matter"
- Tuning the effective coupling of an AFM lever to a thermal bath
- Macroscopic Time-Reversal Symmetry Breaking at Nonequilibrium Phase Transition
- Emergence of collective motion in a model of interacting Brownian particles
- Unconventional entropy production in the presence of momentum-dependent forces
- Entropy production from stochastic dynamics in discrete full phase space
- Housekeeping Entropy in Continuous Stochastic Dynamics with Odd-Parity Variables
- Non-equilibrium driven by an external torque in the presence of a magnetic field
- Microscopic theory for the time irreversibility and the entropy production
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