Generic finite size scaling for discontinuous nonequilibrium phase transitions into absorbing states

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M M de OliveiraCarlos E Fiore

Abstract

Based on quasistationary distribution ideas, a general finite size scaling theory is proposed for discontinuous nonequilibrium phase transitions into absorbing states. Analogously to the equilibrium case, we show that quantities such as response functions, cumulants, and equal area probability distributions all scale with the volume, thus allowing proper estimates for the thermodynamic limit. To illustrate these results, five very distinct lattice models displaying nonequilibrium transitions-to single and infinitely many absorbing states-are investigated. The innate difficulties in analyzing absorbing phase transitions are circumvented through quasistationary simulation methods. Our findings (allied to numerical studies in the literature) strongly point to a unifying discontinuous phase transition scaling behavior for equilibrium and this important class of nonequilibrium systems.

References

Aug 1, 1986·Physical Review. B, Condensed Matter·M S ChallaK Binder
Feb 1, 1991·Physical Review. B, Condensed Matter·J Lee, J M Kosterlitz
Jun 16, 1986·Physical Review Letters·R M ZiffY Barshad
Mar 16, 1992·Physical Review Letters·C Borgs, R Kotecký
Oct 13, 2000·Physical Review Letters·C CastellanoA Vespignani
Jun 16, 2001·Journal of Theoretical Biology·I Nåsell
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J Kamphorst Leal Da Silva, R Dickman
Aug 23, 2002·Physical Review Letters·R A Blythe, M R Evans
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcelo Martins de Oliveira, Ronald Dickman
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Erik MachadoPer Arne Rikvold
Feb 1, 2008·Physical Review Letters·M CramerT J Osborne
Feb 1, 2008·Physical Review Letters·Kazumasa A TakeuchiMasaki Sano
Feb 16, 2010·Journal of Theoretical Biology·Federico VazquezMiguel A Muñoz
Aug 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcelo Martins de Oliveira, Ronald Dickman
Dec 21, 2011·Physical Review Letters·C E Fiore, M G E da Luz
Feb 14, 2012·Physical Review Letters·Tânia Tomé, Mário J de Oliveira
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcelo Martins de OliveiraRonald Dickman
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paula Villa MartínMiguel A Muñoz
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Baptiste NéelRodrigo Soto
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marcelo Martins de Oliveira, Ronald Dickman
Oct 30, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos E Fiore
Apr 1, 2015·Proceedings of the National Academy of Sciences of the United States of America·Paula Villa MartínMiguel A Muñoz

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Citations

Jul 18, 2018·Physical Review. E·Marcelo M de OliveiraCarlos E Fiore
Feb 13, 2016·Physical Review. E·Marcelo M de OliveiraSilvio C Ferreira
Sep 11, 2019·Physical Review. E·C E Fernández NoaC E Fiore
Jan 20, 2018·Physical Review. E·Pedro E HarunariC E Fiore

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