Breakdown of linear dynamics in phase-ordering kinetics

Chuck Yeung, Nicholas Gross, Michael Costolo

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Simulations and experiments have shown that the linear theory in phase-ordering dynamics fails first on short length scales rather than long length scales as suggested previously. By following the example of a simple coupled nonlinear system, we show that the linear theory breaks down first at the largest wave numbers due to the nonlinear slaving of the most stable Fourier modes to the larger amplitude unstable modes. The range of wave numbers in which the dynamics is nonlinear expands toward smaller wave numbers with time. We present numerical results verifying the mode slaving hypothesis and determine tbr(k), the time at which the linear theory breaks down as a function of wave number k. (c) 1995 The American Physical Society

Original languageEnglish (US)
Pages (from-to)6025-6030
Number of pages6
JournalPhysical Review E
Volume52
Issue number6
DOIs
StatePublished - Jan 1 1995

Fingerprint

Breakdown
breakdown
Kinetics
kinetics
Length Scale
nonlinear systems
Coupled System
Expand
Nonlinear Systems
Unstable
Numerical Results
Range of data
Experiment
Simulation
simulation

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Condensed Matter Physics
  • Physics and Astronomy(all)

Cite this

Yeung, Chuck ; Gross, Nicholas ; Costolo, Michael. / Breakdown of linear dynamics in phase-ordering kinetics. In: Physical Review E. 1995 ; Vol. 52, No. 6. pp. 6025-6030.
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Breakdown of linear dynamics in phase-ordering kinetics. / Yeung, Chuck; Gross, Nicholas; Costolo, Michael.

In: Physical Review E, Vol. 52, No. 6, 01.01.1995, p. 6025-6030.

Research output: Contribution to journalArticle

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