1 research outputs found
Stochastic Theory in the Strong Coupling Limit
The stochastic -theory in dimensions dynamically develops domain
wall structures within which the order parameter is not continuous. We develop
a statistical theory for the -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 are given. We then
investigate the intermittency issue in the strong coupling limit, and derive
the tail of the PDF of the increments . 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,
, behave as , where
for , and for Comment: 22 pages, 6 figures. to appear in Nuclear. Phys.