Stochastic fields on a lattice

Journal Article · Thu Jul 01 04:00:00 EDT 1993 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.48.607· OSTI ID:6174914

Klik, I; Chang, C ^[1]

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1. Department of Physics, National Taiwan University, Taipei, Taiwan (Taiwan, Province of China)

A Caldeira-Leggett-type system-bath Hamiltonian is used to construct a new class of local stochastic equations on a lattice and to determine the conditions under which the lattice field evolves to thermal equilibrium. Both scalar and two-dimensional vector fields driven by multiplicative noise are considered. The latter model is developed to describe magnetization dynamics with spatial dispersion of relaxation. A systematic method of constructing stochastic field equations from a complex dispersion relation is proposed. The corresponding lattice Fokker-Planck equation is written down and it is shown that thermal equilibrium is its stationary state.

• OSTI ID: 6174914
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 48:1; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DIFFERENTIAL EQUATIONS
DISPERSION RELATIONS
EQUATIONS
EQUATIONS OF MOTION
EQUILIBRIUM
FOKKER-PLANCK EQUATION
FUNCTIONS
HAMILTONIAN FUNCTION
MAGNETIZATION
NOISE
PARTIAL DIFFERENTIAL EQUATIONS
RELAXATION
SPIN WAVES
STOCHASTIC PROCESSES
THERMAL EQUILIBRIUM