Volume 126, Number 1, April 2019
|Number of page(s)||7|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||20 May 2019|
Differences in the scaling laws of canonical and microcanonical coarsening dynamics for long-range interacting systems
1 Laboratory of Quantum Optics, University of Nova Gorica - 5001 Nova Gorica, Slovenia
2 Universidade Federal de São Carlos - Rod. Washington Luis, km 235, S/n, Jardim Guanabara, São Carlos, SP, 13565-905, Brazil
3 Université de Lyon, ENS de Lyon, UCBL, CNRS, Laboratoire de Physique - Lyon, France
4 Sincrotrone Trieste - S.S. 14 km 163.5, Basovizza (TS), Italy
Received: 4 January 2019
Accepted: 30 March 2019
We investigate the effects of Hamiltonian and Langevin microscopic dynamics on the growth laws of domains in coarsening. Using a one-dimensional class of generalized models with power-law decaying interactions, we show that the two dynamics exhibit scaling regimes characterized by different scaling laws for the coarsening dynamics. For Langevin dynamics, they concur with the exponents of defect dynamics, while Hamiltonian dynamics reveals new scaling laws with distinct early-time and late-time regimes. This new behaviour can be understood as an effect of energy conservation, which induces a coupling between the dynamics of the local temperature field and of the order parameter.
PACS: 75.40.Gb – Dynamic properties (dynamic susceptibility, spin waves, spin diffusion, dynamic scaling, etc.) / 64.60.De – Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.) / 05.50.+q – Lattice theory and statistics (Ising, Potts, etc.)
© EPLA, 2019
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