Surface Critical Behavior in Fixed Dimensionsd<4: Nonanalyticity of Critical Surface Enhancement and Massive Field Theory Approach

1994/09/15 by H. W. Diehl, M. A. Shpot, M. Shpot · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Surface and Thin Film Phenomena #Theoretical and Computational Physics #cond-mat #nanoparticles nucleation surface interactions

paper · pdf · doi:10.1103/physrevlett.73.3431

Latex with Revtex-Stylefiles, 4 pages

arxiv created 1994/09/15 · openalex publication_date 1994/12/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The critical behavior of semi-infinite systems in fixed dimensions d&lt;4 is investigated theoretically. The appropriate extension of Parisi's massive field theory approach is presented. Two-loop calculations and subsequent Pad'e-Borel analyses of surface critical exponents of the special and ordinary phase transitions yield estimates in reasonable agreement with recent Monte Carlo results. This includes the crossover exponent \ensuremathΦ(d=3), for which we obtain the values \ensuremathΦ(n=1)\ensuremath≃0.54 and \ensuremathΦ(n=0)\ensuremath≃0.52, considerably lower than the previous \ensuremathε-expansion estimates.

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