Memory effects in a non-equilibrium growth model

Chattopadhyay, Amit K. (2009). Memory effects in a non-equilibrium growth model. Physical Review E, 80 (1), 011144.


We study memory effects in a kinetic roughening model. For d=1, a different dynamic scaling is uncovered in the memory dominated phases; the Kardar-Parisi-Zhang scaling is restored in the absence of noise. dc=2 represents the critical dimension where memory is shown to smoothen the roughening front (a=0). Studies on a discrete atomistic model in the same universality class reconfirm the analytical results in the large time limit, while a different scaling behavior shows up for t<t, with t being the memory characteristic of the atomistic model. Results can be generalized for other nonconservative systems.

Publication DOI:
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Additional Information: © 2009 The American Physical Society
Uncontrolled Keywords: kinetic roughening model,Kardar-Parisi-Zhang scaling,a discrete atomistic model,Statistics and Probability,Condensed Matter Physics,Statistical and Nonlinear Physics
Full Text Link:
Related URLs: (Scopus URL)
Published Date: 2009-07-31
Authors: Chattopadhyay, Amit K. ( 0000-0001-5499-6008)



Version: Accepted Version

Export / Share Citation


Additional statistics for this record