Imperial College London
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Dr Eyal Neuman

Faculty of Natural Sciences, Department of Mathematics

Reader of Mathematics
 
 
 
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Contact

 

e.neumann Website CV

 
 
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Location

 

802Weeks BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Mueller:2022:10.1214/22-AAP1785,
author = {Mueller, C and Neumann, E},
doi = {10.1214/22-AAP1785},
journal = {Annals of Applied Probability},
pages = {4251--4278},
title = {Scaling properties of a moving polymer},
url = {http://dx.doi.org/10.1214/22-AAP1785},
volume = {32},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We set up an SPDE model for a moving, weakly self-avoiding polymer with intrinsic length J taking values in (0, ∞). 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 situation 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.
AU  - Mueller,C
AU  - Neumann,E
DO  - 10.1214/22-AAP1785
EP  - 4278
PY  - 2022///
SN  - 1050-5164
SP  - 4251
TI  - Scaling properties of a moving polymer
T2  - Annals of Applied Probability
UR  - http://dx.doi.org/10.1214/22-AAP1785
UR  - https://projecteuclid.org/journals/annals-of-applied-probability/volume-32/issue-6/Scaling-properties-of-a-moving-polymer/10.1214/22-AAP1785.full
UR  - http://hdl.handle.net/10044/1/94531
VL  - 32
ER  -
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