Catene ideali con numero fissato di auto-intersezioni

TL;DR

This paper investigates the self-intersection properties of ideal lattice random walks with a fixed ratio of self-intersections to total length, shedding light on their relation to polymer physics.

Contribution

It introduces a detailed study of ideal chains with a fixed number of self-intersections, a novel approach in understanding polymer-like random walks.

Findings

Characterization of self-intersection ratios in ideal chains

Insights into the relation between self-intersections and polymer properties

Methodology for analyzing fixed self-intersection ratios in lattice walks

Abstract

In this thesis we study in detail the self-intersection properties of Random Walks. Although notoriously hard to tackle, these properties are crucially related to the excluded-volume effect and other central features of real polymers. Our main purpose will be to study ideal chains (Random Walks) on lattice where the ratio between the number of self-intersections and the total length is fixed to some number.