The confinement free energies of non-ideal branched polymers and ideal unbranched polymers are the same
نویسندگان
چکیده
منابع مشابه
Coarse-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 کاملPinning and unbinding of ideal polymers from a wedge corner.
A polymer repelled by unfavorable interactions with a uniform flat surface may still be pinned to attractive edges and corners. This is demonstrated by considering adsorption of a two-dimensional ideal polymer to an attractive corner of a repulsive wedge. The well-known mapping between the statistical mechanics of an ideal polymer and the quantum problem of a particle in a potential is then use...
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 کاملCollapse of branched polymers
2014 Exact calculations using transfer matrices on finite strips are performed to study the two-dimensional problem of one lattice animal with an attractive nearest neighbour interaction. Thermodynamic quantities such as specific heat, compressibility, thermal expansion are calculated. Finite size scaling with two strips of different widths yields very accurate approximations of the critical li...
متن کاملConformation of branched polymers
2014 We study the conformation of randomly branched, monodispersed polymers both in dilute and concentrated solutions in their reaction bath. We first extend the Zimm-Stockmayer mean field theory to such properties as elasticity and concentration correlations. We then take this mean field theory as a basis for a Flory approach. In a dilute solution, we recover previous results by Isaacson and L...
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: EPL (Europhysics Letters)
سال: 2008
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/82/46003