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Rough Interfaces Beyond the Gaussian Approximation

M. Caselle, R. Fiore, F. Gliozzi, M. Hasenbusch, K. Pinn, S. Vinti

Abstract

We compare predictions of the Capillary Wave Model beyond its Gaussian approximation with Monte Carlo results for the energy gap and the surface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well described by the Capillary Wave Model, expanded to two--loop order ( one order beyond the Gaussian approximation).

Rough Interfaces Beyond the Gaussian Approximation

Abstract

We compare predictions of the Capillary Wave Model beyond its Gaussian approximation with Monte Carlo results for the energy gap and the surface energy of the 3D Ising model in the scaling region. Our study reveals that the finite size effects of these quantities are well described by the Capillary Wave Model, expanded to two--loop order ( one order beyond the Gaussian approximation).

Paper Structure

This paper contains 14 sections, 67 equations.

Table of Contents

  1. Introduction
  2. The Models
  3. The Ising Model
  4. The Effective Model
  5. Two-Loop Calculation
  6. Observables and Monte Carlo Simulations
  7. Energy Gap: the Time--Slice Correlations Method
  8. Energy Gap: the Boundary Flip Method
  9. Surface Energy
  10. Local Demon Algorithm
  11. Monte Carlo Data Analysis
  12. FSEs of the Interface Free Energy
  13. FSEs of the Surface Energy
  14. Conclusions