6 research outputs found
Logarithmic coarsening and glassy behavior in a polymer model with mass-dependent diffusion
We present a model of polymer growth and diffusion with frustration
mechanisms for density increase and with diffusion rates of Arrhenius form with
mass-dependent energy barriers Gamma(m) ~ (m-1)^gamma. It shows non-universal
logarithmic coarsening involving the exponent gamma. Strong-glass behavior is
found in the typical times for disappearance of all polymers up to a given
length, without reference to the equilibrium states of the macroscopic system.
These features are predicted by numerical simulations, scaling theories and an
analytic solution of the master equation within an independent interval
approximation, which also provides the cluster size distribution.Comment: 16 pages, including 7 figures. To be published in Phys. Rev.
Interface Collisions
We provide a theoretical framework to analyze the properties of frontal
collisions of two growing interfaces considering different short range
interactions between them. Due to their roughness, the collision events spread
in time and form rough domain boundaries, which defines collision interfaces in
time and space. We show that statistical properties of such interfaces depend
on the kinetics of the growing interfaces before collision, but are independent
of the details of their interaction and of their fluctuations during the
collision. Those properties exhibit dynamic scaling with exponents related to
the growth kinetics, but their distributions may be non-universal. These
results are supported by simulations of lattice models with irreversible
dynamics and local interactions. Relations to first passage processes are
discussed and a possible application to grain boundary formation in
two-dimensional materials is suggested.Comment: Paper with 12 pages and 2 figures; supplemental material with 4 pages
and 3 figure