Year: 2025
Type: article
Abstract: We study the effective radius of weakly self-avoiding star polymers in one, two, and three dimensions. Our model includes N Brownian motions up to time T, started at the origin and subject to exponential penalization based on the amount of time they spend close to each other, or close to themselves. The effective radius measures the typical distance from the origin. Our main result gives estimates for the effective radius where in two and three dimensions we impose the restriction that $$T \le N$$ T ≤ N . One of the highlights of our results is that in two dimensions, we find that the radius is proportional to $$T^{3/4}$$ T 3 / 4 , up to logarithmic corrections.
Source: Journal of Statistical Physics
Authors: Carl Mueller, Eyal Neuman
Institutions: University of Rochester, Imperial College London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
Funder: Simons Foundation
Award: G4488211718
OpenAlex ID: W4410133255