Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Posters - Statistical Physics, Stochastic Thermodynamics

DY 26.8: Poster

Tuesday, March 21, 2017, 18:15–21:00, P3

Dissipationless precision by counting the time spent in a state — •Somrita Ray and Andre C Barato — Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany.

We analyze the relation between precision and dissipation for a random variable that is the time a stochastic trajectory spends in a state. We find that for this random variable, precision can be obtained with an arbitrarily low energetic cost. This result is in contrast with the thermodynamic uncertainty relation for the currents, which establishes a minimal energetic cost for precision in a current like random variable. On the technical side, we obtain a general analytic expression for the dispersion of the time that a stochastic trajectory spends in a cluster of states for a unicyclic network.