From ordered bubbles to random stripes: Pattern formation in a hydrodynamic lattice gas

Journal Article · Sat May 01 00:00:00 EDT 1993 · Journal of Statistical Physics; (United States)

DOI:https://doi.org/10.1007/BF01058440· OSTI ID:6327427

Rothman, D H ^[1]

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1. Massachusetts Institute of Technology, Cambridge (United States)

A two-component momentum-conserving lattice gas with competing interactions is introduced in two dimensions. One interaction acts at short range and produces interfaces with surface tension. The second interaction, the negative of the first, acts at range a and produces modulated structures with approximate wavelength 2a. Depending on particle density, species concentration, and relative interaction strength, the equilibrium patterns formed by the model range from isotropic mixed and unmixed phases to hexagonally-ordered bubbles to randomly-oriented stripes. A Ginzburg-Landau equation is proposed that qualitatively captures the basic features of the phase transitions. 23 refs., 5 figs.

• OSTI ID: 6327427
• Journal Information: Journal of Statistical Physics; (United States), Vol. 71:3-4; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GASES
PARTICLE INTERACTIONS
LATTICE FIELD THEORY
SPATIAL DISTRIBUTION
COMPUTERIZED SIMULATION
DENSITY
EQUILIBRIUM
FLUID FLOW
STATISTICAL MECHANICS
SURFACE TENSION
TWO-DIMENSIONAL CALCULATIONS
DISTRIBUTION
FIELD THEORIES
FLUIDS
INTERACTIONS
MECHANICS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SIMULATION
SURFACE PROPERTIES
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)