Pressure exerted by a grafted polymer: Bethe lattice solution [Complex Systems]

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======  Pressure exerted by a grafted polymer: Bethe lattice solution ======

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  * Data: 18/05/15 às 11:00 h
  * Local: Sl A5-01
  * Apresentador: Rafael Mynssem Brum, UFF

Resumo: We solve the problem of a chain, modeled as a self-avoiding walk (SAW),
grafted to the wall limiting a semi-infinite Bethe lattice of arbitrary
coordination number q. In particular, we determine the pressure exerted by the
polymer on the wall, as a function of the distance to the grafting point. The
pressure, in general, decays exponentially with the distance, at variance with
what is found for SAWs and directed walks on regular lattices and gaussian
walks. The adsorption transition, which is discontinuous, and its influence on
the pressure are also studied.



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