PMID: 11308716Apr 20, 2001Paper

Exact phase diagram of a model with aggregation and chipping

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
R Rajesh, S N Majumdar

Abstract

We reexamine a simple lattice model of aggregation in which masses diffuse and coalesce upon contact with rate 1 and every nonzero mass chips off a single unit of mass and adds it to a randomly chosen neighbor with rate w. The dynamics conserves the average mass density rho and in the stationary state the system undergoes a nonequilibrium phase transition in the (rho-w) plane across a critical line rho(c)(w). In this paper, we show analytically that in arbitrary spatial dimensions rho(c)(w)=sqrt[w+1]-1 exactly and hence, remarkably, is independent of dimension. We also provide direct and indirect numerical evidence that strongly suggests that the mean field asymptotic results for the single site mass distribution function and the associated critical exponents are superuniversal, i.e., independent of dimension.

References

Apr 15, 1988·Physical Review A: General Physics·H TakayasuH Tasaki
Jul 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S N Majumdar, D A Huse
May 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S N CoppersmithT A Witten
Oct 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P L Krapivsky, S Redner
Jun 16, 1986·Physical Review Letters·R M ZiffY Barshad
May 29, 1989·Physical Review Letters·J Kertész, D E Wolf
Feb 8, 1993·Physical Review Letters·H Takayasu, Y h Taguchi
Nov 7, 1994·Physical Review Letters·M H Kim, H Park
Oct 25, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·H HinrichsenA Politi
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S N MajumdarM Barma
Nov 23, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R Rajesh, S N Majumdar

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Citations

Jan 19, 2010·The Journal of Chemical Physics·M R EvansE Trizac
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K Jain, M Barma
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M J Alava, S N Dorogovtsev
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungchul KwonYup Kim
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Apoorva NagarHyunggyu Park
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·E Ben-Naim, P L Krapivsky
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungchul KwonYup Kim
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Debasish ChaudhuriMartin Zapotocky
Apr 12, 2013·Physical Review Letters·Himani SachdevaMadan Rao
May 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Shlomi ReuveniUri Yechiali
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Arghya DasP K Mohanty
Jan 20, 2018·Physical Review. E·Kyle KawagoeEli Ben-Naim
Feb 27, 2018·Physical Review Letters·Quentin Vagne, Pierre Sens
Jan 13, 2018·Physical Review Letters·S A MatveevN V Brilliantov
Mar 20, 2018·Physical Review. E·Colm ConnaughtonOleg Zaboronski
Nov 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Rajesh, Supriya Krishnamurthy
Oct 17, 2017·The Journal of Chemical Physics·Anvy Moly TomSatyavani Vemparala
Apr 20, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R Rajesh
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungchul KwonYup Kim
Aug 8, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungchul KwonYup Kim
Jan 7, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R RajeshMustansir Barma
Apr 27, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sungchul Kwon, Yup Kim
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Meesoon HaMarcel den Nijs
May 20, 2021·Physical Review. E·S S BudzinskiyP L Krapivsky
Jul 18, 2021·Physical Review. E·Francesco MoriGrégory Schehr

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