Bibliographic Details
| Title: |
Diffusive-Ballistic Transition in Random Polymers with Drift and Repulsive Long-Range Interactions. |
| Authors: |
Cioletti, L.1 leandro.mat@gmail.com, Dorea, C.1 changdorea@unb.br, Vasconcelos da Silva, S.2 simone@ufg.br |
| Source: |
Journal of Statistical Physics. Aug2014, Vol. 156 Issue 4, p760-765. 6p. |
| Subjects: |
Random polynomials, Phase transitions, Mathematical invariants, Limit theorems, Mathematical models |
| Abstract: |
In this note phase transition issues are addressed for random polymers on $$\mathbb {Z}^2$$ with long-range self-repulsive interactions. It is shown that, in the absence of drift and with power law interactions, the polymer exhibits transition from diffusive to a ballistic behavior. When non-null drifts are added and positive translation invariant interactions are considered, the polymer presents a ballistic behavior. Our results complement some previous studies on the matter and we also derive a Central Limit Theorem for the model. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
