Confining multiple polymers between sticky walls: a directed walk model of two polymers

@article{Wong2014ConfiningMP,
  title={Confining multiple polymers between sticky walls: a directed walk model of two polymers},
  author={Thomas Wong and Aleksander L. Owczarek and Andrew Rechnitzer},
  journal={Journal of Physics A},
  year={2014},
  volume={47},
  pages={415002}
}
We study a model of two polymers confined to a slit with sticky walls. More precisely, we find and analyse the exact solution of two directed friendly walks in such a geometry on the square lattice. We compare the infinite slit limit ,i n which the length of the polymer (thermodynamic limit) is taken to infinity before the width of the slit is considered to become large, to the opposite situation where the order of the limits are swapped, known as the half-plane limit when one polymer is… 
Force signature of the unzipping transition for strip confined two-dimensional polymers
We find and analyse the exact solution of two friendly walks, modelling polymers, confined between two parallel walls in a strip (or slit) where the polymers interact with each other via an
Enumeration problems in directed walk models
TLDR
This work extends the directed walk model to include two directed walks and finds and analyses the exact solution of two friendly walks tethered to different walls where single interactions are permitted, and considers the model with double interactions, where each walk interacts with both walls.
Multidimensional lattice walk enumeration through coefficient extraction operators
In this thesis, we investigate the enumeration of lattice walk models, with or without interactions, in multiple dimensions, through the use of linear operators comprised of coefficient or term

References

SHOWING 1-10 OF 61 REFERENCES
A directed walk model of a long chain polymer in a slit with attractive walls
We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometric
Self-avoiding polygons and walks in slits
A polymer in a confined geometry may be modeled by a self-avoiding walk or a self-avoiding polygon confined between two parallel walls. In two dimensions, this model involves self-avoiding walks or
Finite-size scaling functions for directed polymers confined between attracting walls
The exact solution of directed self-avoiding walks confined to a slit of finite width and interacting with the walls of the slit via an attractive potential has been recently calculated. The walks
Motzkin path models of long chain polymers in slits
We consider Motzkin path models for polymers confined to a slit. The path interacts with each of the two confining lines, and we define parameters a and b to characterize the strengths of the
Exact enumeration and Monte Carlo results for self-avoiding walks in a slab
We analyse exact enumeration data and Monte Carlo simulation results for a self-avoiding walk model of a polymer confined between two parallel attractive walls (plates). We use the exact enumeration
Walks, walls, wetting, and melting
New results concerning the statistics of, in particular,p random walkers on a line whose paths do not cross are reported, extended, and interpreted. A general mechanism yielding phase transitions in
LETTER TO THE EDITOR: Self-avoiding walks in a slab with attractive walls
We consider a self-avoiding walk confined between two parallel planes (or lines), with an energy term associated with each vertex of the walk in the confining planes. We allow the energy terms to be
Force-induced desorption of a linear polymer chain adsorbed on an attractive surface
We consider a model of self-avoiding walk on a lattice with on-site repulsion and an attraction for every vertex of the walk visited on the surface to study force-induced desorption of a linear
Surface phase transitions in polymer systems
Self-avoiding walks, lattice trees, and related geometrical models provide a link between the physics of polymers and the study of critical phenomena. In particular, these models in the presence of a
Mechanical unfolding of directed polymers in a poor solvent: critical exponents.
We study the thermodynamics of an exactly solvable model of a self-interacting, partially directed self-avoiding walk in two dimensions when a force is applied on one end of the chain. The critical
...
1
2
3
4
5
...