Random Growth of Interfaces as a Subordinated Process

Description:

Article discussing the random growth of interfaces as a subordinated process.

Creator(s):
Creation Date: July 30, 2004
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 45
Past 30 days: 6
Yesterday: 0
Creator (Author):
Failla, Roberto

University of North Texas

Creator (Author):
Grigolini, Paolo

University of North Texas; Istituto dei Processi Chimico Fisici del CNR; Universitá di Pisa and INFM

Creator (Author):
Ignaccolo, Massimiliano

University of North Texas

Creator (Author):
Schwettmann, Arne

University of North Texas

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: July 30, 2004
Description:

Article discussing the random growth of interfaces as a subordinated process.

Degree:
Department: Physics
Note:

Copyright 2004 American Physical Society. The following article appeared in Physical Review E, 70:1; http://pre.aps.org/abstract/PRE/v70/i1/e010101

Note:

Abstract: We study the random growth of surfaces from within the perspective of a single column, namely, the fluctuation of the column height around the mean value, y(τ)=h(τ)-‹h(τ)›, which is depicted as being subordinated to a standard fluctuation-dissipation process with friction y. We argue that the main properties of Kardar-Parisi-Zhang theory, in one dimension, are derived by identifying the distribution of return times to y(0)=0, which is a truncated inverse power law, with the distribution of subordination times. The agreement of the theoretical prediction with the numerical treatment of the (1+1)-dimensional model of ballistic deposition is remarkably good, in spite of the finite-size effects affecting this model.

Physical Description:

4 p.

Language(s):
Subject(s):
Keyword(s): Kardar-Parisi-Zhang theory | subordinated processes
Source: Physical Review E, 2004, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevE.70.010101
  • ARK: ark:/67531/metadc67637
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review E
Volume: 70
Issue: 1
Pages: 4
Peer Reviewed: Yes