Bifurcations of a lattice gas flow under external forcing

Journal Article · Sat Jul 01 04:00:00 EDT 1989 · Journal of Statistical Physics; (USA)

DOI:https://doi.org/10.1007/BF01044232· OSTI ID:7243135

Benzi, R ^[1]; Succi, S ^[2]

---

1. Rome Univ. (Italy)
2. IBM-ECSEC, Rome (Italy)

The authors study the behavior of a Frisch-Hasslacher-Pomeau lattice gas automation under the effect of a spatially periodic forcing. It is shown that the lattice gas dynamics reproduces the steady-state features of the bifurcation pattern predicted by a properly truncated model of the Navier-Stokes equations. In addition, they show that the dynamical evolution of the instabilities driving the bifurcation can be modeled by supplementing the truncated Navier-Stokes equation with a random force chosen on the basis of the automation noise.

• OSTI ID: 7243135
• Journal Information: Journal of Statistical Physics; (USA), Journal Name: Journal of Statistical Physics; (USA) Vol. 56:1-2; ISSN 0022-4715; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AUTOMATION
COLLISIONS
COMPUTERIZED SIMULATION
CONSERVATION LAWS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CURRENT DENSITY
DIFFERENTIAL EQUATIONS
EQUATIONS
FLOW MODELS
FLOW RATE
FLUCTUATIONS
FLUID FLOW
FLUID MECHANICS
FLUIDS
GAS FLOW
GASES
HEXAGONAL LATTICES
HYDRODYNAMICS
INSTABILITY
INVARIANCE PRINCIPLES
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MECHANICS
NAVIER-STOKES EQUATIONS
NOISE
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
SHEAR
SIMULATION
STATISTICAL MECHANICS
STEADY-STATE CONDITIONS
STOCHASTIC PROCESSES
TURBULENCE
VARIATIONS