Browsing by Author "Wallace, D. J."
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- Effects of anisotropic surface tension on first-order-transition singularitiesZia, Royce K. P.; Wallace, D. J. (American Physical Society, 1985-02)For systems displaying two-phase coexistence without rotational invariance, anisotropic surface tension and nonspherical droplets are present. To study small fluctuations around such droplets, we construct a natural coordinate system and find the quadratic form. In general, their spectrum differs from the isotropic case and affects the nature of the first-order transition singularities. However, in two bulk dimensions, the spectrum is sufficiently simple that the singularity is universal.
- Universality in the percolation problem—Anomalous dimensions of φ4 operatorsAmit, D. J.; Wallace, D. J.; Zia, Royce K. P. (American Physical Society, 1977-05)We consider critical systems, such as the percolation problem, whose symmetry permits an invariant interaction of third order in the fluctuating fields φ. In the renormalization-group approach one is naturally led to look for infrared-stable fixed points which yield ε expansions in 6−ε dimensions, with ε=3 as the physical value. Since the Gaussian fixed point becomes unstable to φ4 interactions for ε>2, it is important to check that the fixed point obtained in the ε expansion remains stable to such perturbations. We report the calculation to first order in ε of the corrections to scaling induced by (stability with respect to) φ4 interactions in a general class of such theories. The results indicate that φ4 interactions remain irrelevant in the percolation problem.