Process interpretation of current entropic bounds

Abstract

We show for Markov diffusion processes that the quadratic entropic bound, recently derived for the rate functions of nonequilibrium currents, can be seen as being produced by an effective process that creates current fluctuations in a sub-optimal way by modifying only the non-reversible part of the drift or force of the process considered while keeping its reversible part constant. This provides a clear interpretation of the bound in terms of a physical process, which explains, among other things, its relation to the fluctuation relation, linear response, and reversible limits. The existence of more general quadratic bounds, and related uncertainty relations, for physical quantities other than currents is also discussed.

v1: 6 pages. v2: typos corrected, references added. v3: minor typos corrected

References in corpus (4)

• The large deviation approach to statistical mechanics
• Thermodynamic uncertainty relation for biomolecular processes
• Universal bound on the efficiency of molecular motors
• Steady state statistics of driven diffusions

Cited by in corpus (24)

• Thermodynamics of precision in quantum non equilibrium steady states
• Thermodynamic uncertainty relation for time-dependent driving
• Unified thermodynamic uncertainty relations in linear response
• Kinetic uncertainty relation
• Unifying Thermodynamic Uncertainty Relations
• Operationally accessible bounds on fluctuations and entropy production in periodically driven systems
• Bounds on current fluctuations in periodically driven systems
• A generalization of the thermodynamic uncertainty relation to periodically driven systems
• Hysteretic thermodynamic uncertainty relation for systems with broken time-reversal symmetry
• Phase transition in protocols minimizing work fluctuations
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Entropy production fluctuations encode collective behavior in active matter
• Large Deviation Function for a Driven Underdamped Particle in a Periodic Potential
• Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion
• Universal minimal cost of coherent biochemical oscillations
• A unifying picture of generalized thermodynamic uncertainty relations
• Large deviations of currents in diffusions with reflective boundaries
• Role of current fluctuations in nonreversible samplers
• Skewness and Kurtosis in Stochastic Thermodynamics
• Thermodynamic Uncertainty Relation in Interacting Many-Body Systems
• A thermodynamic uncertainty relation for a system with memory
• Large deviations of the stochastic area for linear diffusions
• Quality of the Thermodynamic Uncertainty Relation for Fast and Slow Driving
• Thermodynamic precision of a chain of motors: the difference between phase and noise correlation