Kinetic uncertainty relation

By I. Di Terlizzi, Marco Baiesi. Journal of Physics A: Mathematical and Theoretical, 2018

150 citations recorded by the source corpus.

Relative fluctuations of observables in discrete stochastic systems are bounded at all times by the mean dynamical activity in the system, quantified by the mean number of jumps. This constitutes a kinetic uncertainty relation that is fundamentally different from the thermodynamic uncertainty relation recently discussed in the literature. The thermodynamic constraint is more relevant close to equilibrium while the kinetic constraint is the limiting factor of the precision of a observables in regimes far from equilibrium. This is visualized for paradigmatic simple systems and with an example of molecular motor dynamics. Our approach is based on the recent fluctuation response inequality by Dechant and Sasa (2018 arXiv:1804.08250) and can be applied to generic Markov jump systems, which describe a wide class of phenomena and observables, including the irreversible predator-prey dynamics that we use as an illustration.

Subfields: Atomic and Molecular Physics, and Optics, Cognitive Neuroscience, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/8fb43244d7ff62c17852dd1d73b98a6b4000a1af

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In Atomic and Molecular Physics, and Optics

1. Christian Maes
2. Keiji Saito
3. Tan Van Vu

In Cognitive Neuroscience

1. Christian Maes

In Statistical and Nonlinear Physics

1. Keiji Saito
2. Tan Van Vu
3. Christian Maes
4. Dominik Janzing

Citations in the corpus

• Frenesy: Time-symmetric dynamical activity in nonequilibria (2019, methodology): “The above was used by Di Terlizzi and Baiesi in the derivation of kinetic uncertainty relations, [64].”
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits (2022, background): “Both quantities constrain the fluctuation of currents according to the thermodynamic and kinetic uncertainty relations [13, 97].”