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Paoluzzi M, Marconi UMB, Maggi C. Effective equilibrium picture in the xy model with exponentially correlated noise. Phys Rev E. 2018;97(2):022605doi: 10.1103/PhysRevE.97.022605.
Paoluzzi, M., Marconi, U. M. B., & Maggi, C. (2018). Effective equilibrium picture in the xy model with exponentially correlated noise. Physical review. E, 97(2), 022605. https://doi.org/10.1103/PhysRevE.97.022605
Paoluzzi, Matteo, et al. "Effective equilibrium picture in the xy model with exponentially correlated noise." Physical review. E vol. 97,2 (2018): 022605. doi: https://doi.org/10.1103/PhysRevE.97.022605
Paoluzzi M, Marconi UMB, Maggi C. Effective equilibrium picture in the xy model with exponentially correlated noise. Phys Rev E. 2018 Feb;97(2):022605. doi: 10.1103/PhysRevE.97.022605. PMID: 29548092.
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Phys Rev E. 2018 Feb;97(2):022605. doi: 10.1103/PhysRevE.97.022605.

Effective equilibrium picture in the xy model with exponentially correlated noise.

Physical review. E

Matteo Paoluzzi, Umberto Marini Bettolo Marconi, Claudio Maggi

Affiliations

  1. Department of Physics and Syracuse Soft & Living Matter Program, Syracuse University, Syracuse, New York 13244, USA.
  2. Scuola di Scienze e Tecnologie, Università di Camerino, Via Madonna delle Carceri, 62032 Camerino, Italy.
  3. INFN Perugia, 06123 Perugia, Italy.
  4. NANOTEC-CNR, Institute of Nanotechnology, Soft and Living Matter Laboratory, Piazzale A. Moro 2, 00185 Rome, Italy.

PMID: 29548092 DOI: 10.1103/PhysRevE.97.022605

Abstract

We study the effect of exponentially correlated noise on the xy model in the limit of small correlation time, discussing the order-disorder transition in the mean field and the topological transition in two dimensions. We map the steady states of the nonequilibrium dynamics into an effective equilibrium theory. In the mean field, the critical temperature increases with the noise correlation time τ, indicating that memory effects promote ordering. This finding is confirmed by numerical simulations. The topological transition temperature in two dimensions remains untouched. However, finite-size effects induce a crossover in the vortices proliferation that is confirmed by numerical simulations.

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