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Unlike macroscopic engines, the molecular machinery of living cells isstrongly affected by fluctuations. Stochastic Thermodynamics uses Markovianjump processes to model the random transitions between the chemical andconfigurational states of these biological macromolecules. A recently developedtheoretical framework [Wachtel, Vollmer, Altaner: "Fluctuating Currents inStochastic Thermodynamics I. Gauge Invariance of Asymptotic Statistics"]provides a simple algorithm for the determination of macroscopic currents andcorrelation integrals of arbitrary fluctuating currents. Here, we use it todiscuss energy conversion and nonequilibrium response in different models forthe molecular motor kinesin. Methodologically, our results demonstrate theeffectiveness of the algorithm in dealing with parameter-dependent stochasticmodels. For the concrete biophysical problem our results reveal two interestingfeatures in experimentally accessible parameter regions: The validity of anon-equilibrium Green--Kubo relation at mechanical stalling as well as negativedifferential mobility for superstalling forces.

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