Séminaire du LPTMS: Ezequiel Ferrero


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Non-steady relaxation and critical exponents at the depinning transition via large scale GPU simulations

Ezequiel Ferrero, Centro Atómico Bariloche – CONICET

We study the non-steady relaxation of a driven one-dimensional elastic interface at the depinning transition by extensive numerical simulations concurrently implemented on graphics processing units (GPUs). We compute the time-dependent velocity and roughness as the interface relaxes from a given initial configuration at the thermodynamic critical force. We extract critical exponents from the Short Time Dynamics behavior of the system. Above the first, non-universal microscopic time-regime, we find a non-trivial long crossover towards the non-steady macroscopic critical regime, where it is accurate to fit. Our study may explain numerical discrepancies (as large as 30% for the velocity exponent $\beta$) found in the literature.

In addition, if time permits, I would like to briefly mention other implementations we have been developing for simulations in GPUs, including Monte Carlo dynamics of classical spin systems and Langevin dynamics for a $\Phi^4$ model.

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