(De)-Localization of some (1+1)-dimensional models

ARGOMENTI: Seminari Dottorato

Wednesday 14 January 2009 h. 15:00, room 1A/150
Martin BORECKI (Ph.D. in Math., Technische Univ., Berlin)
"(De)-Localization of some (1+1)-dimensional models"

We consider a (1+1)-dimensional model, i.e. a directed model for a linear chain. The chain is randomly distributed in space and undergoes an interaction with the environment and itself. Thus, it can be seen as a random polymer and we want to study its spatial distribution as a function of its length and its interaction parameters. The self-interaction consists of a Gradient and Laplacian mixture type, whereas the interaction with the environment is reduced to a delta-pinning, i.e. the chain gets a reward each time it touches the x-axis. We discuss the localization behaviour of the model, which displays remarkable differences (phase transitions) as the parameters of the interaction vary. Furthermore we consider what changes, if we additionally introduce an impermeable wall. Motivation, introduction and explanations will hopefully make the talk accessible to a large audience.

Rif. int. C. Marastoni, T. Vargiolu, M. Dalla Riva

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