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Nonequilibrium wetting transition in a nonthermal 2D Ising model

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Abstract

Nonequilibrium wetting transitions are observed in Monte Carlo simulations of a kinetic spin system in the absence of a detailed balance condition with respect to an energy functional. A nonthermal model is proposed starting from a two-dimensional Ising spin lattice at zero temperature with two boundaries subject to opposing surface fields. Local spin excitations are only allowed by absorbing an energy quantum (photon) below a cutoff energy E c . Local spin relaxation takes place by emitting a photon which leaves the lattice. Using Monte Carlo simulation nonequilibrium critical wetting transitions are observed as well as nonequilibrium first-order wetting phenomena, respectively in the absence or presence of absorbing states of the spin system. The transitions are identified from the behavior of the probability distribution of a suitably chosen order parameter that was proven useful for studying wetting in the (thermal) Ising model.

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References

  1. A.C. Barato, J. Stat. Phys. 138, 728 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. H. Hinrichsen, Physica A 369, 1 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  3. H. Hinrichsen, R. Livi, D. Mukamel, A. Politi, Phys. Rev. Lett. 79, 2710 (1997)

    Article  ADS  Google Scholar 

  4. H. Hinrichsen, R. Livi, D. Mukamel, A. Politi, Phys. Rev. E 61, R1032 (2000)

    Article  ADS  Google Scholar 

  5. H. Hinrichsen, R. Livi, D. Mukamel, A. Politi, Phys. Rev. E 68, 041606 (2003)

    Article  ADS  Google Scholar 

  6. C. Gogolin, C. Meltzer, M. Willers, H. Hinrichsen, Phys. Rev. E 79, 041111 (2009)

    Article  ADS  Google Scholar 

  7. A.C. Barato, H. Hinrichsen, M.J. de Oliveira, Phys. Rev. E 77, 011101 (2008)

    Article  ADS  Google Scholar 

  8. F. de los Santos, M.M. Telo da Gama, M.A. Muñoz, Phys. Rev. E 67, 021607 (2003)

    Article  ADS  Google Scholar 

  9. D.B. Abraham, Phys. Rev. Lett. 44, 1165 (1980)

    Article  MathSciNet  ADS  Google Scholar 

  10. E.V. Albano, K. Binder, D.W. Heermann, W. Paul, Surf. Sci. 223, 151 (1989)

    Article  ADS  Google Scholar 

  11. A.O. Parry, R. Evans, Phys. Rev. Lett. 64, 439 (1990)

    Article  ADS  Google Scholar 

  12. A.O. Parry, R. Evans, Physica A 181, 250 (1992)

    Article  ADS  Google Scholar 

  13. K. Binder, D.P. Landau, A.M. Ferrenberg, Phys. Rev. E 51, 2823 (1995)

    Article  ADS  Google Scholar 

  14. M.R. Swift, A. Owczarek, J.O. Indekeu, Europhys. Lett. 14, 475 (1991)

    Article  ADS  Google Scholar 

  15. J. Rogiers, J.O. Indekeu, Europhys. Lett. 24, 21 (1993)

    Article  ADS  Google Scholar 

  16. E. Carlon, A. Drzewinski, Phys. Rev. Lett. 79, 1591 (1997)

    Article  ADS  Google Scholar 

  17. N.B. Wilding, Am. J. Phys. 69, 1147 (2001)

    Article  ADS  Google Scholar 

  18. R. Glauber, J. Math. Phys. 4, 294 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  19. J. Marro, R. Dickman, Nonequilibrium Phase Transitions in Lattice Models (Cambridge University Press, Cambridge, 1999)

  20. G.M. Schütz, in Phase Transitions and Critical Phenomena, edited by C. Domb, J.L. Lebowitz (Academic, Londen, 2000), Vol. 19

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Correspondence to J. Hooyberghs.

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Hooyberghs, J., Indekeu, J.O. Nonequilibrium wetting transition in a nonthermal 2D Ising model. Eur. Phys. J. B 81, 155–163 (2011). https://doi.org/10.1140/epjb/e2011-20085-2

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  • DOI: https://doi.org/10.1140/epjb/e2011-20085-2

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