An Almost-Sure CLT for Stretched Polymers

TL;DR

This paper establishes an almost-sure central limit theorem for the spatial extension of stretched polymers under weak disorder conditions in dimensions four and higher.

Contribution

It provides the first almost-sure CLT result for stretched polymers in high dimensions at weak disorder.

Findings

Proves an almost-sure CLT for stretched polymers in dimensions ≥4.

Validates the CLT under very weak disorder conditions.

Extends understanding of polymer behavior in high-dimensional settings.

Abstract

We prove an almost sure CLT for spatial extension of stretched (meaning subject to a non-zero pulling force) polymers at very weak disorder in all dimensions d+1 larger than or equal to 4.