Statistics of ideal randomly branched polymers in a semi-space
نویسندگان
چکیده
منابع مشابه
Collapse transition of randomly branched polymers: renormalized field theory.
We present a minimal dynamical model for randomly branched isotropic polymers, and we study this model in the framework of renormalized field theory. For the swollen phase, we show that our model provides a route to understand the well-established dimensional-reduction results from a different angle. For the collapse θ transition, we uncover a hidden Becchi-Rouet-Stora supersymmetry, signaling ...
متن کاملRenormalized field theory of collapsing directed randomly branched polymers.
We present a dynamical field theory for directed randomly branched polymers and in particular their collapse transition. We develop a phenomenological model in the form of a stochastic response functional that allows us to address several interesting problems such as the scaling behavior of the swollen phase and the collapse transition. For the swollen phase, we find that by choosing model para...
متن کاملCoarse-graining the Dynamics of Ideal Branched Polymers
We define a class of local stochastic rewrite rules on directed site trees. We give a compact presentation of (often countably infinite) coarse-grained differential systems describing the dynamics of these rules in the deterministic limit, and study in a simple case finite approximations based on truncations to a certain size. We show an application to the modelling of the dynamics of sugar pol...
متن کاملScaling exponents for a monkey on a tree: fractal dimensions of randomly branched polymers.
We study asymptotic properties of diffusion and other transport processes (including self-avoiding walks and electrical conduction) on large, randomly branched polymers using renormalized dynamical field theory. We focus on the swollen phase and the collapse transition, where loops in the polymers are irrelevant. Here the asymptotic statistics of the polymers is that of lattice trees, and diffu...
متن کاملBranched Polymers
Intended as models in chemistry or biology, branched polymers are often modeled, in turn, by lattice animals (trees on a grid); see, e.g., [3, 5, 8, 10, 18, 19]. However, continuum polymers turn out to be in some respects more tractable than their grid cousins. In order to study the behavior of branched polymers, and in particular to define and understand what random examples look like, we must...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The European Physical Journal E
سال: 2005
ISSN: 1292-8941,1292-895X
DOI: 10.1140/epje/i2005-10007-9