Heat conductivity of three periodic hard disks via nonequilibrium molecular dynamics

Journal Article · Sat Mar 01 04:00:00 EST 1986 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01010464· OSTI ID:6843037

Hoover, W G; Kratky, K W

The authors use a driving field, of the type first suggested by Evans, to generate a steady heat current in the simplest possible system, a two-dimensional periodic ''fluid'' of three hard disks. Hard-disk motion equations can be conveniently derived from repulsive constant-force or linear-force potentials by considering the infinitely repulsive limits of these potentials. The authors show that the isoenergetic and isokinetic forms of the nonequilibrium equations of motion generate steady-state heat conductivities differing in terms of order 1/N where N is the number of particles. The resulting conductivities appear to vary as the logarithm of the driving field strength. Even at low fields, the three-body periodic-system results lie well below Enskog's infinite-system prediction.

• Research Organization: Univ. of Vienna, Vienna
• OSTI ID: 6843037
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 42:5-6; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657000 -- Theoretical & Mathematical Physics
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
HEAT FLOW
INTERMOLECULAR FORCES
MATHEMATICAL MODELS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PARTICLES
PHYSICAL PROPERTIES
STATISTICAL MECHANICS
STEADY-STATE CONDITIONS
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
THERMODYNAMICS
TRANSPORT THEORY