PMID: 15244586Jul 13, 2004Paper

Persistence in nonequilibrium surface growth

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
M ConstantinS Das Sarma

Abstract

Persistence probabilities of the interface height in ( 1+1 ) - and ( 2+1 ) -dimensional atomistic, solid-on-solid, stochastic models of surface growth are studied using kinetic Monte Carlo simulations, with emphasis on models that belong to the molecular beam epitaxy (MBE) universality class. Both the initial transient and the long-time steady-state regimes are investigated. We show that for growth models in the MBE universality class, the nonlinearity of the underlying dynamical equation is clearly reflected in the difference between the measured values of the positive and negative persistence exponents in both transient and steady-state regimes. For the MBE universality class, the positive and negative persistence exponents in the steady-state are found to be theta(S)(+) =0.66+/-0.02 and theta(S)(-) =0.78+/-0.02, respectively, in ( 1+1 ) dimensions, and theta(S)(+) =0.76+/-0.02 and theta(S)(-) =0.85+/-0.02, respectively, in ( 2+1 ) dimensions. The noise reduction technique is applied on some of the ( 1+1 ) -dimensional models in order to obtain accurate values of the persistence exponents. We show analytically that a relation between the steady-state persistence exponent and the dynamic growth exponent, found earlier to be va...Continue Reading

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Citations

Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D B DoughertyS Das Sarma
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satya N Majumdar, Dibyendu Das
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Grégory Schehr, Satya N Majumdar
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C G TaoC Dasgupta
Jun 4, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·T J Oliveira, F D A Aarão Reis
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géza OdorKarl-Heinz Heinig
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Chakraborty
May 16, 2018·Physical Review. E·Arturo L ZamorateguiAlejandro B Kolton
Aug 8, 2018·Physical Review Letters·Fernando CaballeroMichael E Cates
May 14, 2016·Physical Review. E·Arturo L ZamorateguiAlejandro B Kolton
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Somnath BhattacharyaSatya N Majumdar
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Chakraborty
May 10, 2020·The Journal of Chemical Physics·Anirban Ghosh, Dipanjan Chakraborty
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R ChanphanaC Dasgupta
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Chakraborty, J K Bhattacharjee
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Constantin, S Das Sarma
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yoshinori Takikawa, Hiroshi Orihara
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Satya N Majumdar, Chandan Dasgupta
Apr 7, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Reinaldo García-GarcíaGrégory Schehr
Jun 18, 2021·Physical Review. E·Henrik ChristiansenWolfhard Janke

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