2006/10/24 by N. Abedpour, M. D. Niry, Alireza Bahraminasab +6
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.other
paper · pdf · doi:10.1016/j.nuclphysb.2006.09.026
published as Nucl.Phys.B761:93-108,2007 · 22 pages, 6 figures. to appear in Nuclear. Phys. B
openalex publication_date 2006/10/24 · arxiv created 2006/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The stochastic ϕ4-theory in d-dimensions dynamically develops domain wall structures within which the order parameter is not continuous. We develop a statistical theory for the ϕ4-theory driven with a random forcing which is white in time and Gaussian-correlated in space. A master equation is derived for the probability density function (PDF) of the order parameter, when the forcing correlation length is much smaller than the system size, but much larger than the typical width of the domain walls. Moreover, exact expressions for the one-point PDF and all the moments <ϕn> are given. We then investigate the intermittency issue in the strong coupling limit, and derive the tail of the PDF of the increments ϕ(x2) - ϕ(x1). The scaling laws for the structure functions of the increments are obtained through numerical simulations. It is shown that the moments of field increments defined by, Cb=< |ϕ(x2)-ϕ(x1)|b>, behave as |x1-x2|ξb, where ξb=b for b≤ 1, and ξb=1 for b≥1