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Title: Large-scale flow in competing-interaction systems

Abstract

We study the dynamics of large-scale flow in a system with several competing length scales. This system, when driven, is characterized by critically metastable states. When the driving force is lowered, these states melt'' via nucleation of a low density of slowly moving defects, which control and relate the long-time, long-distance behaviors. We demonstrate these properties with a one-dimensional lattice-dynamics model for twinning in elastic materials, including (a) a periodic substrate potential, (b) a nonconvex nearest-neighbor spring potential, and (c) a harmonic next-nearest-neighbor spring potential. This system exhibits a rich spectrum of superlattice ground states. Large-scale driving, obtained by adding a constant force and damping to the equations of motion, shows four distinct regimes: (i) At high forces a metastable inhomogeneously modulated configuration moves rigidly with a velocity given by the ratio of force to damping; (ii) as the force decreases the rigidity is lost via local nucleation of soliton defects (in the double well) and fluctuations of the velocities increase; (iii) for even lower forces the configuration ceases to translate, and the dynamics is controlled by nucleation of (sine-Gordon-like) kink-antikink pairs in the substrate; and finally (iv) at a sufficiently low force a metastable configuration, consisting of a randommore » array of solitons (in the double-well potential), is pinned. We also observe strong hysteretic behavior at the transitions.« less

Authors:
; ;  [1]
  1. Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (USA)
Publication Date:
OSTI Identifier:
6900076
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter; (USA)
Additional Journal Information:
Journal Volume: 41:10; Journal ID: ISSN 0163-1829
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; CRYSTAL MODELS; METASTABLE STATES; CRYSTAL DEFECTS; CRYSTAL LATTICES; DYNAMICS; EXCITATION; FLOW MODELS; HAMILTONIANS; NUCLEATION; ONE-DIMENSIONAL CALCULATIONS; PHASE TRANSFORMATIONS; TWINNING; CRYSTAL STRUCTURE; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; EXCITED STATES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MECHANICS; QUANTUM OPERATORS; 656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)

Citation Formats

Bishop, A R, Marianer, S, and Floria, L M. Large-scale flow in competing-interaction systems. United States: N. p., 1990. Web. doi:10.1103/PhysRevB.41.6703.
Bishop, A R, Marianer, S, & Floria, L M. Large-scale flow in competing-interaction systems. United States. https://doi.org/10.1103/PhysRevB.41.6703
Bishop, A R, Marianer, S, and Floria, L M. Sun . "Large-scale flow in competing-interaction systems". United States. https://doi.org/10.1103/PhysRevB.41.6703.
@article{osti_6900076,
title = {Large-scale flow in competing-interaction systems},
author = {Bishop, A R and Marianer, S and Floria, L M},
abstractNote = {We study the dynamics of large-scale flow in a system with several competing length scales. This system, when driven, is characterized by critically metastable states. When the driving force is lowered, these states melt'' via nucleation of a low density of slowly moving defects, which control and relate the long-time, long-distance behaviors. We demonstrate these properties with a one-dimensional lattice-dynamics model for twinning in elastic materials, including (a) a periodic substrate potential, (b) a nonconvex nearest-neighbor spring potential, and (c) a harmonic next-nearest-neighbor spring potential. This system exhibits a rich spectrum of superlattice ground states. Large-scale driving, obtained by adding a constant force and damping to the equations of motion, shows four distinct regimes: (i) At high forces a metastable inhomogeneously modulated configuration moves rigidly with a velocity given by the ratio of force to damping; (ii) as the force decreases the rigidity is lost via local nucleation of soliton defects (in the double well) and fluctuations of the velocities increase; (iii) for even lower forces the configuration ceases to translate, and the dynamics is controlled by nucleation of (sine-Gordon-like) kink-antikink pairs in the substrate; and finally (iv) at a sufficiently low force a metastable configuration, consisting of a random array of solitons (in the double-well potential), is pinned. We also observe strong hysteretic behavior at the transitions.},
doi = {10.1103/PhysRevB.41.6703},
url = {https://www.osti.gov/biblio/6900076}, journal = {Physical Review, B: Condensed Matter; (USA)},
issn = {0163-1829},
number = ,
volume = 41:10,
place = {United States},
year = {1990},
month = {4}
}