Inverse Thermodynamic Uncertainty Relation and Entropy Production
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Summary
This summary is machine-generated.This study introduces the inverse thermodynamic uncertainty relation (iTUR) to set an upper bound on nonequilibrium current fluctuations. The iTUR prohibits perpetual superdiffusion in systems with finite entropy production and spectral gap.
Area Of Science
- Non-equilibrium physics
- Statistical mechanics
- Complex systems
Background
- Non-equilibrium current fluctuations are central to physics.
- The thermodynamic uncertainty relation (TUR) bounds fluctuations using entropy production and average current.
- Existing bounds primarily focus on lower bounds for fluctuations.
Purpose Of The Study
- To derive and analyze an upper bound for current fluctuations, termed the inverse thermodynamic uncertainty relation (iTUR).
- To establish a universal iTUR expression applicable to both continuous and discrete systems.
- To investigate the implications of iTUR for phenomena like perpetual superdiffusion and giant diffusion.
Main Methods
- Derivation of a universal iTUR expression for continuous-variable systems (overdamped Langevin equations).
- Derivation of a universal iTUR expression for discrete-variable systems (Markov jump processes).
- Analysis of the conditions under which current fluctuations can diverge, relating them to spectral gap closure and entropy production.
Main Results
- A universal inverse thermodynamic uncertainty relation (iTUR) is derived.
- iTUR establishes a no-go theorem against perpetual superdiffusion for systems with finite entropy production and spectral gap.
- Divergence of current fluctuations requires either a vanishing spectral gap or diverging entropy production.
Conclusions
- The iTUR provides a crucial upper bound on fluctuations in non-equilibrium systems.
- The findings highlight the interplay between spectral gap and entropy production in determining fluctuation behavior.
- The iTUR framework offers insights into phenomena like giant diffusion and limits on anomalous transport.
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