Structure and the failure of the linear theory of continuous ordering

Journal Article · Mon Nov 14 00:00:00 EST 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.2639· OSTI ID:6818876

Gross, N; Klein, W; Ludwig, K ^[1]

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1. Physics Department, Boston University, Boston, Massachusetts 02215 (United States) Center for Polymer Physics, Boston University, Boston, Massachusetts 02215 (United States)

We present the results of numerical investigations of Ising models undergoing continuous ordering which indicate, for systems with large but finite interaction range [ital R], that the time interval during which the linear theory of Cahn, Hilliard, and Cook fits the simulation data depends strongly on the length scale of observation. We associate the initial linear theory deviation at small length scales with the appearance of isolated structures or domains which form after a quench into the unstable region of thermodynamic space. These domains cannot be described by a linear theory; this implies, in contrast to earlier results, that the linear theory breakdown'' cannot be obtained by investigation of the linear itself for inconsistencies.

• OSTI ID: 6818876
• Journal Information: Physical Review Letters; (United States), Vol. 73:20; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
NUMERICAL ANALYSIS
INTERACTION RANGE
SIMULATION
THERMODYNAMICS
CRYSTAL MODELS
DISTANCE
MATHEMATICAL MODELS
MATHEMATICS
661300* - Other Aspects of Physical Science- (1992-)