Critical dynamics in thin films

Details Critical dynamics in thin films Critical dynamics in thin films

2005-09-29

arxiv.org/abs/cond-mat/0509770v1

J. Stat. Phys. 123(5), 929-1005 (2006)

Physics

Condensed Matter

Statistical Mechanics

64 pages, 21 figures

Scientific paper

10.1007/s10955-006-9089-8

Critical dynamics in film geometry is analyzed within the field-theoretical approach. In particular we consider the case of purely relaxational dynamics (Model A) and Dirichlet boundary conditions, corresponding to the so-called ordinary surface universality class on both confining boundaries. The general scaling properties for the linear response and correlation functions and for dynamic Casimir forces are discussed. Within the Gaussian approximation we determine the analytic expressions for the associated universal scaling functions and study quantitatively in detail their qualitative features as well as their various limiting behaviors close to the bulk critical point. In addition we consider the effects of time-dependent fields on the fluctuation-induced dynamic Casimir force and determine analytically the corresponding universal scaling functions and their asymptotic behaviors for two specific instances of instantaneous perturbations. The universal aspects of nonlinear relaxation from an initially ordered state are also discussed emphasizing the different crossovers that occur during this evolution. The model considered is relevant to the critical dynamics of actual uniaxial ferromagnetic films with symmetry-preserving conditions at the confining surfaces and for Monte Carlo simulations of spin system with Glauber dynamics and free boundary conditions.

Affiliated with

Also associated with

No associations

Rating

Critical dynamics in thin films does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Critical dynamics in thin films, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical dynamics in thin films will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-460698