Corrections to scaling in multicomponent polymer solutions
arXiv:cond-mat/0601666 · doi:10.1103/PhysRevE.73.051802
Abstract
We calculate the correction-to-scaling exponent that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of in a system of interacting self-avoiding walks gives . A field-theory analysis based on five- and six-loop perturbative series leads to . We also verify the renormalization-group predictions for the scaling behavior close to the ideal-mixing point.
21 pages
References in corpus (14)
- Critical Phenomena and Renormalization-Group Theory
- Critical Exponents of the N-vector model
- Critical Exponents, Hyperscaling and Universal Amplitude Ratios for Two- and Three-Dimensional Self-Avoiding Walks
- Multicritical phenomena in O(n_1)+O(n_2)-symmetric theories
- The N-component Ginzburg-Landau Hamiltonian with cubic anisotropy: a six-loop study
- Exact Five-Loop Renormalization Group Functions of -Theory with O(N)-Symmetric and Cubic Interactions. Critical Exponents up to $\ep^5$
- Scaling of Star Polymers with one to 80 Arms
- Four-point renormalized coupling constant and Callan-Symanzik beta-function in O(N) models
- High-precision determination of the critical exponent gamma for self-avoiding walks
- Scaling of Self-Avoiding Walks and Self-Avoiding Trails in Three Dimensions
- Static Scaling Behavior of High-Molecular-Weight Polymers in Dilute Solution: A Reexamination
- The effective potential of N-vector models: a field-theoretic study to O(ε^3)
- Coarse-graining diblock copolymer solutions: a macromolecular version of the Widom-Rowlinson model
- Harmonic crossover exponents in O(n) models with the pseudo-epsilon expansion approach