Polymers and random walks

Polymers: Random walk model - MIT Open Learning Library

How do we describe the structure of an amorphous polymer? Lattice random walk. Variable angle random walk. • We need a statistical average over the various ...

Polymers and random walks - renormalization group description and ...

Key words: experiment comparison; modeling; monomer units; polymer properties: random walk: repulsive interaction. The study of the configuration statistics of ...

Chapter 1 Polymer Physics The Isolated Polymer Chain Random ...

A lattice can also be used for a self-avoiding walk (Right). A well know result of Brownian motion for a random walk is that the "average" distance traveled is ...

Lecture notes on random walks and semiflexible polymers Part (I)

Lecture notes on random walks and semiflexible polymers. Part (I) : Statics. Abhishek Dhar, RRI i. Page 2. 1 Random walks. 1.1 Random walk in one-dimension. One ...

Polymers and Random Walks—Renormalization Group Description ...

The random walk configurations of an idealized polymer permit two different segments of the polymer to occupy the same position in space, something which is not ...

Polymer physics - Wikipedia

The simplest possible polymer model is presented by the ideal chain, corresponding to a simple random walk. Experimental approaches for characterizing polymers ...

2.10. Polymer Random Walk vs. Brownian Diffusion Dynamics

2. Polymer Shape. Gaussian Coil, statistical segment length and Random Walk Model (Chapter 10, Young & Lovell 3rd Ed) 2.1 Polymer Chain as a ...

Random walks: A pedestrian approach to polymers, critical ...

This work, which requires little previous knowledge of mathematics besides elementary calculus, has served as the basis of a program to ...

Topic 5: Random polymers – DNA and polymer elasticity

We'll see that a long polymer can be viewed as a random walk. Long DNA polymers like our chromosomes do random walks. Random polymers have elasticity ...

Random walks in polymer physics

Long flexible polymer chains can be modelled as self-avoiding random walks and their properties analyzed by exploiting the polymer-magnet analogy and using ...

From polymers to random walks (Chapter 1) - Lattice Models of ...

Summary ... Polymers are long chain molecules consisting of a large number of units (the monomers), which are held together by chemical bonds. These units may all ...

Lecture 19: Polymer Models: Persistence and Self-Avoidance

Polymers in solution (i.e. uncrystallized) can be characterized as long flexible chains, and thus may be well described by random walk models of.

Random walks and polymers in the presence of quenched disorder

We describe some recent results concerning disorder effects on both random walk models, where the random walk is a dynamical process generated by local ...

From Charged Polymers to Random Walk in Random Scenery

Institute of Mathematical Statistics Lecture Notes - Monograph Series.

Simulating polymers as self-avoiding random walks

Model: Polymers as a self-avoiding random walk on a lattice¶. We will now give a complete description of the polymer toy model. We will continue to describe a ...

Random walks in polymer physics - SpringerLink

Long flexible polymer chains can be modelled as self-avoiding random walks and their properties analyzed by exploiting the polymer-magnet ...

(PDF) Random walks: A pedestrian approach to polymers, critical ...

Self-avoiding random walks, contrastingly, must have a complete memory of the system, as the walker must not go where it has been before (it is ...

Random walks, polymers, percolation, and quantum gravity in two ...

By a 2D quantum gravity method, i.e., a non linear map onto a random Riemann surface, the former conjecture that ζ L = 1 24 (4L 2 − 1) is established. This also ...

Introduction to Computational Physics Random, self-avoiding walks ...

Isomers locked-in during polymerization (sequence, structure, stereo isomerism, tacticity). • Polymer architecture: linear, ring, stars, comb, dendrimers… • ...

Polymers and the anisotropic coupled random walk model

We have studied a one-dimensional polymer chain in the frame of an anisotropic coupled random walk (ACRW). An equivalence between the phase transition in ...