SCALING PROPERTIES OF A MOVING POLYMER

• 成果类型: Article
• 署名作者: Mueller, Carl; Neuman, Eyal
• 署名单位: University of Rochester; Imperial College London
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/22-AAP1785
• 发表日期: 2022
• 页码: 4251-4278
• 关键词: self-avoiding walk; large deviations

摘要

We set up an SPDE model for a moving, weakly self-avoiding polymer with intrinsic length J taking values in (0, infinity). Our main result states that the effective radius of the polymer is approximately J5/3; evidently for large J the polymer undergoes stretching. This contrasts with the equilibrium sit-uation without the time variable, where many earlier results show that the effective radius is approximately J.For such a moving polymer taking values in R2, we offer a conjecture that the effective radius is approximately J5/4.