Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 71: Poster: Noneq. Stat. Phys., Stoch. Thermo, Brownian Dyn.

DY 71.6: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions — •Tim Herpich, Juzar Thingna, and Massimiliano Esposito — Complex Systems and Statistical Mechanics, Physics and Materials Science Research Unit, University of Luxembourg, L-1511 Luxembourg, Luxembourg

We establish a direct connection between the linear stochastic dynamics, the nonlinear mean-field dynamics, and the thermodynamic description of a minimal model of driven and interacting discrete oscillators. These exhibit at the mean-field level two bifurcations separating three phases: a single stable fixed point, a stable limit cycle indicative of synchronization, and multiple stable fixed points. The apparent contradiction with the underlying linear Markovian dynamics which ensures convergence to a unique steady state is resolved via metastability, i.e. the appearance of gaps in the upper real part of the spectrum of the Markov generator. The dissipated work of the stochastic dynamics exhibit signatures of nonequilibrium phase transitions over long metastable times which disappear in the infinite-time limit. Remarkably, it is also reduced by attractive interactions between oscillators. When operating as a work-to-work converter we study the power output and efficiency of our device in the presence of nonequilibrium phase transitions. We find that the maximum power output is achieved far-from-equilibrium in the synchronization regime and that the efficiency at maximum power is surprisingly close to the universal linear regime prediction. Our work builds bridges between thermodynamics of nonequilibrium phase transitions and bifurcation theory.