Impurity effects on domain-growth kinetics. I. Ising model

Journal Article · Sun Sep 01 00:00:00 EDT 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.32.3014· OSTI ID:5345862

Grest, G S; Srolovitz, D J

The development of order for the Ising model in the presence of static, random impurities is studied following a quench from high temperature (T>>T/sub c/) to T0 and never reaches its final equilibrium ferromagnetic ground state. The average linear pinned domain size scales as the inverse square root of the concentration c. For quenches to a final T>0, the long-time behavior of the correlation length R and the energy E are slower than a power law, suggesting a logarithmic growth law for long times. The time that is required to reach this asymptotic logarithmic behavior increases as the impurity concentration decreases and/or the temperature increases.

• Research Organization: Corporate Research Science Laboratory, Exxon Research and Engineering Company, Annandale, New Jersey 08801
• OSTI ID: 5345862
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 32:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
DOMAIN STRUCTURE
GROWTH
HAMILTONIANS
IMPURITIES
ISING MODEL
KINETICS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MONTE CARLO METHOD
QUANTUM OPERATORS
QUENCHING
SCALING LAWS
SIMULATION
TEMPERATURE DEPENDENCE