Virial-like Thermodynamic Uncertainty Relation in the Tight-Binding Regime
arXiv:2202.10526 · doi:10.1063/5.0107554
Abstract
We presented a methodology to approximate the entropy production for Brownian motion in a tilted periodic potential. The approximation stems from the well known thermodynamic uncertainty relation. By applying a virial-like expansion, we provided a tighter lower limit solely in terms of the drift velocity and diffusion. The approach presented is systematically analysed in the tight-binding regime. We also provide a relatively simple rule to validate using the tight-binding approach based on drift and diffusion relations rather than energy barriers and forces. We also discuss the implications of our results outside the tight-binding regime.
arXiv comment7 pages, 10 figures
References in corpus (26)
- Thermodynamic uncertainty relation for biomolecular processes
- Dissipation bounds all steady-state current fluctuations
- Universal trade-off between power, efficiency, and constancy in steady-state heat engines
- Energy Transduction of Isothermal Ratchets: Generic Aspects and Specific Examples Close to and Far from Equilibrium
- Cost and Precision of Brownian Clocks
- Universal bound on the efficiency of molecular motors
- Thermodynamic Bounds on Precision in Ballistic Multi-Terminal Transport
- Unified thermodynamic uncertainty relations in linear response
- Multidimensional thermodynamic uncertainty relations
- Unifying Thermodynamic Uncertainty Relations
- Energetic costs, precision, and efficiency of a biological motor in cargo transport
- Non-equilibrium fluctuations and mechanochemical couplings of a molecular motor
- Violating the Thermodynamic Uncertainty Relation in the Three-Level Maser
- Modelling cytoskeletal traffic: an interplay between passive diffusion and active transport
- Improving thermodynamic bounds using correlations
- Violation of TUR in a periodically driven work-to-work converter from weak to strong dissipation
- Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
- Internal Motility in Stiffening Actin-Myosin Networks
- Thermodynamic cost, speed, fluctuations, and error reduction of biological copy machines
- Thermodynamic uncertainty relation for energy transport in transient regime -- Model study
- Stochastic thermodynamics for a periodically driven single-particle pump
- Stepping and crowding of molecular motors: statistical kinetics from an exclusion process perspective
- Reaching and violating thermodynamic uncertainty bounds in information engines
- Quantumness and thermodynamic uncertainty relation of finite-time Otto cycle
- A Tight-Binding Approach to Overdamped Brownian Motion on a Multidimensional Tilted Periodic Potential
- Thermal Fluctuation Statistics in a Molecular Motor Described by a Multidimensional Master Equation