Fluctuating Currents in Stochastic Thermodynamics II. Energy Conversion and Nonequilibrium Response in Kinesin Models

Abstract

Unlike macroscopic engines, the molecular machinery of living cells is strongly affected by fluctuations. Stochastic Thermodynamics uses Markovian jump processes to model the random transitions between the chemical and configurational states of these biological macromolecules. A recently developed theoretical framework [Wachtel, Vollmer, Altaner: "Fluctuating Currents in Stochastic Thermodynamics I. Gauge Invariance of Asymptotic Statistics"] provides a simple algorithm for the determination of macroscopic currents and correlation integrals of arbitrary fluctuating currents. Here, we use it to discuss energy conversion and nonequilibrium response in different models for the molecular motor kinesin. Methodologically, our results demonstrate the effectiveness of the algorithm in dealing with parameter-dependent stochastic models. For the concrete biophysical problem our results reveal two interesting features in experimentally accessible parameter regions: The validity of a non-equilibrium Green--Kubo relation at mechanical stalling as well as negative differential mobility for superstalling forces.

PACS numbers: 05.70.Ln, 05.40.-a, 87.10.Mn, 87.16.Nn. An accompanying publication "Fluctuating Currents in Stochastic Thermodynamics I. Gauge Invariance of Asymptotic Statistics" is available at http://arxiv.org/abs/1407.2065

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• The large deviation approach to statistical mechanics
• The unlikely Carnot efficiency
• Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
• Efficiency statistics at all times: Carnot limit at finite power
• Microscopic theory for negative differential mobility in crowded environments
• Fluctuation theorem and large deviation function for a solvable model of a molecular motor

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