Session 2: Panel C
- Zbigniew Grzywna (Silesian University of Technology, Faculty of Chemistry)
Jerzy Luczka (University of Silesia)
9/4/17, 2:30 PM
Anomalous diffusion can be detected in various systems. We show that anomalous diffusion may emerge in a straightforward, one dimensional classical nonequilibrium dynamics of a Brownian particle moving in a ratchet potential and driven by both an unbiased time-periodic force and thermal fluctuations of Gaussian nature. In a tailored parameter regime for which the deterministic counterpart...
9. Temperature-abnormal diffusivity and weak ergodicity breaking in space-periodic systems driven by external forces
Ivan Marchenko (National Scientific Centre “Kharkov Institute of Physics and Technology”)
9/4/17, 3:00 PM
The phenomena of diffusion over a potential energy landscape play a key role in a number of processes in physics, chemistry and biology. In this talk a set of original theoretical results on diffusion enhancement of underdamped Brownian particles in symmetric space-periodic potential due to external forcing is presented [1-5]. We demonstrate that depending on the value of the constant...
Thomas Franosch (Universität Innsbruck)
9/4/17, 3:20 PM
We consider a tracer particle on a lattice in the presence of immobile obstacles. Starting from equilibrium, a force pulling on the particle is switched on, driving the system to a new stationary state. We solve for the complete transient dynamics of the fluctuations of the tracer position along the direction of the force. The analytic result, exact in first order of the obstacle...
109. Variational formula for the current generating function and finite-time thermodynamic uncertainty relations
Andreas Dechant (Kyoto University)
9/4/17, 3:40 PM
Bounds on the current generating function for stochastic dynamics and the thermodynamic uncertainty relations that follow from them have recently attracted much attention. Here, we focus on the space-time continuous case of Langevin dynamics. We derive a variational formula for the generating function of a generalized current, which is valid at finite time, extending the previously known...