Description

This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials.This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.

Random Polymer Models

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Hardback by Giambattista Giacomin

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This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in... Read more

    Publisher: Imperial College Press
    Publication Date: 26/03/2007
    ISBN13: 9781860947865, 978-1860947865
    ISBN10: 1860947867

    Number of Pages: 260

    Non Fiction , Mathematics & Science , Education

    Description

    This volume introduces readers to the world of disordered systems and to some of the remarkable probabilistic techniques developed in the field. The author explores in depth a class of directed polymer models to which much attention has been devoted in the last 25 years, in particular in the fields of physical and biological sciences. The models treated have been widely used in studying, for example, the phenomena of polymer pinning on a defect line, the behavior of copolymers in proximity to an interface between selective solvents and the DNA denaturation transition. In spite of the apparent heterogeneity of this list, in mathematical terms, a unified vision emerges. One is in fact dealing with the natural statistical mechanics systems built on classical renewal sequences by introducing one-body potentials.This volume is also a self-contained mathematical account of the state of the art for this class of statistical mechanics models.

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