Thermodynamic uncertainty relations in the presence of non-linear friction and memory
arXiv:2312.15243 · doi:10.1088/1751-8121/ad358d
Abstract
A new Thermodynamic Uncertainty Relation (TUR) is derived for systems described by linearly coupled Langevin equations in the presence of non-linear frictional forces. In our scheme, the main variable represents the velocity of a particle, while the other coupled variables describe memory effects which may arise from strongly correlated degrees of freedom with several time-scales and, in general, are associated with thermal baths at different temperatures. The new TUR gives a lower bound for the mean-squared displacement of the position of the particle, including its asymptotic diffusion coefficient. This bound, in several examples worked out here, appears to be a good analytical estimate of the real diffusion coefficient. The new TUR can be also applied in the absence of any external force (with or without thermal equilibrium between the baths), a case which usually goes beyond the scope of original TURs. We show applications to non-linear frictional models with memory, such as the Coulomb and the Prantdtl-Tomlinson models, usually representative of friction at the nano-scale and within atomic-force microscopy experiments.
arXiv comment10 pages, 9 figures
References in corpus (26)
- Thermodynamic uncertainty relation for biomolecular processes
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Dissipation bounds all steady-state current fluctuations
- Modeling friction: From nanoscale to mesoscale
- Inferring entropy production from short experiments
- Multidimensional thermodynamic uncertainty relations
- Uncertainty relations in stochastic processes: An information inequality approach
- Estimating entropy production by machine learning of short-time fluctuating currents
- Entropy production estimation with optimal current
- Liquid meniscus friction on a wet plate: Bubbles, lamellae and foams
- Energetic costs, precision, and efficiency of a biological motor in cargo transport
- Stochastic thermodynamics: From principles to the cost of precision
- Irreversible effects of memory
- Uncertainty relations for underdamped Langevin dynamics
- Langevin equation with Coulomb friction
- Learning entropy production via neural networks
- Direct Route to Thermodynamic Uncertainty Relations and Their Saturation
- Estimating time-dependent entropy production from non-equilibrium trajectories
- Thermodynamic Uncertainty Relation Bounds the Extent of Anomalous Diffusion
- Stick-slip motion of solids with dry friction subject to random vibrations and an external field
- Time asymmetry of the Kramers equation with nonlinear friction: fluctuation-dissipation relation and ratchet effect
- Ratchet effect driven by Coulomb friction: the asymmetric Rayleigh piston
- Transient rectification of Brownian diffusion with asymmetric initial distribution
- Thermodynamic bounds for diffusion in non-equilibrium systems with multiple timescales
- Entropy production for velocity-dependent macroscopic forces: the problem of dissipation without fluctuations
- Stochastic motion under nonlinear friction representing shear thinning