Biased interacting self-avoiding walks on the four-simplex lattice
- Department of Physics, Montana State University, Bozeman, Montana 59717 (United States)
- Department of Physics, University of North Dakota, Grand Forks, North Dakota 58202-8008 (United States)
We have studied self-avoiding walks with both bias (stiffness or antistiffness) and step-step interaction (repulsive or attractive) on the four-simplex lattice, a deterministic fractal structure. Exact renormalization equations for partial partition sums are obtained by the standard method. We discuss the complete phase diagram in the three-dimensional space of fugacity per step, per bend, and per nearest-neighbor interaction. The phase transition surface between low- and high-density states is separated into first- and second-order parts by a continuous line of tricritical points. The group structure generated by the recursions allows us to find detailed information about the singular behavior of the walk density, in addition to critical and tricritical exponents. For stiff walks (large bias energy), we discuss the crossover to flexible (unbiased) behavior in the long-chain limit. The location of this crossover is found to depend upon whether chain parameters are critical or noncritical.
- DOE Contract Number:
- FG06-87ER45292
- OSTI ID:
- 6890682
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Vol. 46:21; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
POLYMERS
PHASE TRANSFORMATIONS
SIMPLEX PROCESS
FRACTALS
INTERATOMIC FORCES
PARTITION FUNCTIONS
PHASE DIAGRAMS
RENORMALIZATION
SCALING LAWS
COAL GASIFICATION
DIAGRAMS
FUNCTIONS
GASIFICATION
THERMOCHEMICAL PROCESSES
665000* - Physics of Condensed Matter- (1992-)