Directed polymers and Randomness
Somendra M. Bhattacharjee
TL;DR
This paper reviews how different types of randomness influence the behavior of directed polymers, focusing on random external potentials and heterogeneity in polymer interactions, highlighting the current understanding and gaps in the field.
Contribution
It compares the effects of randomness in the medium and in polymer interactions, emphasizing the better-understood random medium problem and the less-understood RANI model.
Findings
Random medium effects are well-understood.
RANI model remains less explored.
Differences in behavior due to types of randomness.
Abstract
The effects of two types of randomness on the behaviour of directed polymers are discussed in this chapter. The first part deals with the effect of randomness in medium so that a directed polymer feels a random external potential. The second part deals with the RANI model of two directed polymers with heterogeneity along the chain such that the interaction is random. The random medium problem is better understood compared to the RANI model.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Diffusion and Search Dynamics