Critical behavior of an interacting polymer chain in a porous model system: Exact results for truncated simplex lattices

1992 ◽  
Vol 45 (2) ◽  
pp. 574-585 ◽  
Author(s):  
Dragica Kneević ◽  
Milan Kneević ◽  
Sava Miloević
Keyword(s):  
Polymer Chain ◽  
Critical Behavior ◽  
Model System ◽  
Exact Results ◽  
Porous Model

Adsorption of a flexible self-avoiding polymer chain: Exact results on fractal lattices

1993 ◽  
Vol 71 (1-2) ◽  
pp. 1-21 ◽  
Author(s):  
Vladimir Bubanja ◽  
Milan Knežević ◽  
Jean Vannimenus
Keyword(s):  
Polymer Chain ◽  
Exact Results

Influence of chain stiffness on knottedness in single polymers

2013 ◽  
Vol 41 (2) ◽  
pp. 528-532 ◽  
Author(s):  
Peter Virnau ◽  
Florian C. Rieger ◽  
Daniel Reith
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Present Article ◽  
Polymer Chain ◽  
Model System ◽  
Viral Capsids ◽  
Chain Stiffness ◽  
Single Polymer Chain

In the present article, we investigate and review the influence of chain stiffness on self-entanglements and knots in a single polymer chain with Monte Carlo simulations spanning good solvent, theta and globular phases. The last-named are of particular importance as a model system for DNA in viral capsids. Intriguingly, the dependence of knot occurrence and complexity with increasing stiffness is non-trivial, but can be understood with a few simple concepts outlined in the present article.

scholarly journals EXACT RESULTS OF THE MIXED-SPIN ISING MODEL ON A DECORATED SQUARE LATTICE WITH TWO DIFFERENT DECORATING SPINS OF INTEGER MAGNITUDES

2008 ◽  
Vol 22 (15) ◽  
pp. 2355-2372 ◽  
Author(s):  
LUCIA ČANOVÁ ◽  
JOZEF STREČKA ◽  
MICHAL JAŠČUR
Keyword(s):  
Ising Model ◽  
Spin System ◽  
Critical Behavior ◽  
Ground State ◽  
Analytical Approach ◽  
Spontaneous Order ◽  
Square Lattice ◽  
Exact Results ◽  
Numerical Result ◽  
Mixed Spin

The mixed-spin Ising model on a decorated square lattice with two different decorating spins of integer magnitudes S B = 1 and S C = 2 placed on horizontal and vertical bonds of the lattice, respectively, is examined within an exact analytical approach based on the generalized decoration–iteration mapping transformation. Besides the ground-state analysis, finite-temperature properties of the system are investigated in detail. The most interesting numerical result to emerge from our study relates to a striking critical behavior of the spontaneously ordered "quasi-1D" spin system. It was found that this quite remarkable spontaneous order arises when one sublattice of the decorating spins (either S B or S C ) tends toward their "nonmagnetic" spin state S = 0, and the system becomes disordered only upon further single-ion anisotropy strengthening. In particular, the effect of single-ion anisotropy upon the temperature dependence of the total and sublattice magnetization is investigated.

Exact Results for a Semiflexible Polymer Chain in an Aligning Field

2004 ◽  
Vol 37 (15) ◽  
pp. 5814-5823 ◽  
Author(s):  
Andrew J. Spakowitz ◽  
Zhen-Gang Wang
Keyword(s):  
Polymer Chain ◽  
Exact Results ◽  
Semiflexible Polymer
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