The effect of an external field on an interface, entropic repulsion

Joel L. Lebowitz, Christian Maes

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


We consider the effects of an external potential -h∑f(Sx) with h>0, f increasing, on the equilibrium state of a system with a Hamiltonian of the form {Mathematical expression}Φ even and convex, e.g., Φ(t)=1/2 t2 and f(t)=sign t. This can be thought of as a model of the interactions between a random interface Sx and a "soft" wall. We show that the random surface is (entropically) repelled to infinity for all h>0, i.e., with probability one, Sx≥K, for any K ε R.

Original languageEnglish (US)
Pages (from-to)39-49
Number of pages11
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Jan 1987

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Random interfaces
  • entropic repulsion
  • soft wall


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