Ideal chains with fixed self-intersection rate

Details Ideal chains with fixed self-intersection rate Ideal chains with fixed self-intersection rate

2011-09-26

arxiv.org/abs/1109.5744v3

Phys. Rev. E 84, 051104 (2011)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 4 figures

Scientific paper

10.1103/PhysRevE.84.051104

We consider ideal chains in a hypercubic lattice \mathbb{Z}^{d}, d\geq3, with a fixed ratio m of self-intersection per monomer. Despite the simplicity of the geometrical constraint, this model shows some interesting properties, such as a collapse transition for a critical value m_{c}. Numerical simulations show a Self-Avoiding-Walk-like behavior for mm_{c}. The collapse seems to show the same characteristics as the canonical thermodynamical models for the coil-globule transition.

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