Precision calculation of elasticity for percolation
Journal Article
·
· J. Stat. Phys.; (United States)
Monte Carlo transfer matrix evaluation of the elastic constants at the percolation threshold of the random-bond honeycomb lattice, with widths of up to 96 and lengths of about two million lattice constants (roughly 200 hours CDC Cyber 205 vector computer time) gave a critical exponent T=3.96+/-0.04 with a logarithmic correction term. This exponent agrees well with the scaling hypothesis T=t + 2v=3.97, relating T to the two-dimensional conductivity exponent.
- Research Organization:
- Univ. of Minnesota, Minneapolis, MN
- OSTI ID:
- 7128341
- Journal Information:
- J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 44:1/2; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
CDC COMPUTERS
COMPUTERIZED SIMULATION
COMPUTERS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EFFICIENCY
ELASTICITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HEXAGONAL LATTICES
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
MONTE CARLO METHOD
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING LAWS
SENSITIVITY ANALYSIS
SIMULATION
TENSILE PROPERTIES
TRANSFER MATRIX METHOD
TRANSPORT THEORY
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
99 GENERAL AND MISCELLANEOUS
990210 -- Supercomputers-- (1987-1989)
CDC COMPUTERS
COMPUTERIZED SIMULATION
COMPUTERS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EFFICIENCY
ELASTICITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
HEXAGONAL LATTICES
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
MONTE CARLO METHOD
ORDER PARAMETERS
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SCALING LAWS
SENSITIVITY ANALYSIS
SIMULATION
TENSILE PROPERTIES
TRANSFER MATRIX METHOD
TRANSPORT THEORY