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Random Polymer Models

2007 Technology & Engineering
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Release : 2007
Genre : Technology & Engineering
Kind : eBook
Book Rating : 867/5 ( reviews)

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Book Synopsis Random Polymer Models by : Giambattista Giacomin

Download or read book Random Polymer Models written by Giambattista Giacomin. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 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

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 294/5 ( reviews)

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Book Synopsis Random Polymer Models by : Giambattista Giacomin

Download or read book Random Polymer Models written by Giambattista Giacomin. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: Random polymer models and their applications -- The homogeneous pinning model -- Weakly inhomogeneous models -- The free energy of disordered polymer chains -- Disordered pinning models: The hase diagram -- Disordered copolymers and selective interfaces: The phase diagram -- The localized phase of disordered polymers -- The delocalized phase of disordered polymers -- Numerical algorithms and computations

Random Polymers

2009-05-14 Mathematics
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Release : 2009-05-14
Genre : Mathematics
Kind : eBook
Book Rating : 32X/5 ( reviews)

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Book Synopsis Random Polymers by : Frank Hollander

Download or read book Random Polymers written by Frank Hollander. This book was released on 2009-05-14. Available in PDF, EPUB and Kindle. Book excerpt: Polymer chains that interact with themselves and/or their environment display a range of physical and chemical phenomena. This text focuses on the mathematical description of some of these phenomena, offering a mathematical panorama of polymer chains.

Directed Polymers in Random Environments

2017-01-26 Mathematics
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Release : 2017-01-26
Genre : Mathematics
Kind : eBook
Book Rating : 878/5 ( reviews)

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Book Synopsis Directed Polymers in Random Environments by : Francis Comets

Download or read book Directed Polymers in Random Environments written by Francis Comets. This book was released on 2017-01-26. Available in PDF, EPUB and Kindle. Book excerpt: Analyzing the phase transition from diffusive to localized behavior in a model of directed polymers in a random environment, this volume places particular emphasis on the localization phenomenon. The main questionis: What does the path of a random walk look like if rewards and penalties are spatially randomly distributed?This model, which provides a simplified version of stretched elastic chains pinned by random impurities, has attracted much research activity, but it (and its relatives) still holds many secrets, especially in high dimensions. It has non-gaussian scaling limits and it belongs to the so-called KPZ universality class when the space is one-dimensional. Adopting a Gibbsian approach, using general and powerful tools from probability theory, the discrete model is studied in full generality. Presenting the state-of-the art from different perspectives, and written in the form of a first course on the subject, this monograph is aimed at researchers in probability or statistical physics, but is also accessible to masters and Ph.D. students.

Random Walk Models and Probabilistic Techniques for Inhomogeneous Polymer Chains

2005
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Release : 2005
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Random Walk Models and Probabilistic Techniques for Inhomogeneous Polymer Chains by : Francesco Caravenna

Download or read book Random Walk Models and Probabilistic Techniques for Inhomogeneous Polymer Chains written by Francesco Caravenna. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt:

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