Kinetic uncertainty relation

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 relati...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-01, Vol.52 (2), p.2
Main Authors: Di Terlizzi, Ivan, Baiesi, Marco
Format: Article
Language:English
Subjects:
dynamical activity
entropy production
fluctuations
molecular motors
nonequilibrium inequalities
population dynamics
stochastic dynamics
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Summary: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aaee34