First steps of a nucleation theory in disordered systems

Details First steps of a nucleation theory in disordered systems First steps of a nucleation theory in disordered systems

2004-12-15

arxiv.org/abs/cond-mat/0412383v2

J. Stat. Mech.: Theor Exp. (2005) P04001

Physics

Condensed Matter

Statistical Mechanics

31 pages, 4 figures. Content revised, typos corrected

Scientific paper

10.1088/1742-5468/2005/04/P04001

We devise a field theoretical formalism for a microscopic theory of nucleation processes and phase coexistence in finite dimensional glassy systems. We study disordered $p$-spin models with large but finite range of interaction. We work in the framework of glassy effective potential theory which in mean-field is a non-convex, two minima function of the overlap. We will associate metastability and phase coexistence with the existence of space inhomogeneous solution of suitable field equations and we will study the simplest of such solutions.

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