Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 36: Brownian Motion and Transport

DY 36.1: Vortrag

Donnerstag, 3. April 2014, 15:00–15:15, ZEU 160

Statistical mechanics of stochastic ratchets far from equilibrium — •Johannes Blaschke and Jürgen Vollmer — Max-Planck Institute for Dynamics and Self-Organization, Göttingen, Germany

Stochastic ratchets (such as the Brownian motor, or the asymmetric adiabatic piston) deliver important insights into the statistical mechanics of non-equilibrium systems.

We examine the motion of an anisotropic particle encountering collisions with a gas far from equilibrium. Contrary to what is observed for a dissipative Maxwell-Boltzmann gas, vanishingly small perturbations to the gas velocity distribution (e.g. via shaking) result in a steady-state drift velocity independent of particle mass in the limit of a massive particle [1].

Inspired by an interesting breakdown of equipartition and linear response theory, here we build on this finding by exploring the statistical mechanics of a gas even further from equilibrium: that of self-propelled swimmers. The kinetic theory shows a rich and surprising behaviour. Furthermore, we show to what extend stochastic thermodynamics and the appropriate fluctuation theorem can account for this behaviour.

[1] J. Blaschke and J. Vollmer, Phys. Rev. E 87, 040201R (2013)