Variational Methods In Molecular Modeling

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Variational Methods in Molecular Modeling

This book presents tutorial overviews for many applications of variational methods to molecular modeling. Topics discussed include the Gibbs-Bogoliubov-Feynman variational principle, square-gradient models, classical density functional theories, self-consistent-field theories, phase-field methods, Ginzburg-Landau and Helfrich-type phenomenological models, dynamical density functional theory, and variational Monte Carlo methods. Illustrative examples are given to facilitate understanding of the basic concepts and quantitative prediction of the properties and rich behavior of diverse many-body systems ranging from inhomogeneous fluids, electrolytes and ionic liquids in micropores, colloidal dispersions, liquid crystals, polymer blends, lipid membranes, microemulsions, magnetic materials and high-temperature superconductors. All chapters are written by leading experts in the field and illustrated with tutorial examples for their practical applications to specific subjects. With emphasis placed on physical understanding rather than on rigorous mathematical derivations, the content is accessible to graduate students and researchers in the broad areas of materials science and engineering, chemistry, chemical and biomolecular engineering, applied mathematics, condensed-matter physics, without specific training in theoretical physics or calculus of variations.
Hybrid Methods of Molecular Modeling

Author: Andrei L. Tchougréeff
language: en
Publisher: Springer Science & Business Media
Release Date: 2008-08-01
Hybrid Methods of Molecular Modeling is a self-contained advanced review offering step by step derivation of the consistent theoretical picture of hybrid modeling methods and the thorough analysis of the concepts and current practical methods of hybrid modeling based on this theory. Hybrid Methods of Molecular Modeling presents its material in a sequential way paying attention both to the physical soundness of the approximations used and to the mathematical rigor necessary for practical developing of the robust modeling code. Historical remarks are given when it is necessary to put the current presentation in a more general context and to establish relation with other areas of computational chemistry. The reader should have experience with basic concepts of computational chemistry and/or molecular modeling. Basic knowledge of operators, wave functions, electron densities is necessary.
Molecular Modeling and Simulation

Author: Tamar Schlick
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-04-18
Science is a way of looking, reverencing. And the purpose of all science, like living, which amounts to the same thing, is not the ac cumulation of gnostic power, the fixing of formulas for the name of God, the stockpiling of brutal efficiency, accomplishing the sadistic myth of progress. The purpose of science is to revive and cultivate a perpetual state of wonder. For nothing deserves wonder so much as our capacity to experience it. Roald Hoffman and Shira Leibowitz Schmidt, in Old Wine, New Flasks: Re. flections on Science and Jewish Tradition (W. H. Freeman, 1997). Challenges in Teaching Molecular Modeling This textbook evolved from a graduate course termed Molecular Modeling intro duced in the fall of 1996 at New York University. The primary goal of the course is to stimulate excitement for molecular modeling research - much in the spirit of Hoffman and Leibowitz Schmidt above - while providing grounding in the discipline. Such knowledge is valuable for research dealing with many practical problems in both the acadernic and industrial sectors, from developing treatments for AIDS (via inhibitors to the protease enzyme of the human imrnunodeficiency virus, HIV-1) to designing potatoes that yie1d spot-free potato chips (via trans genic potatoes with altered carbohydrate metabolism). In the course of writing xii Preface this text, the notes have expanded to function also as an introduction to the field for scientists in other disciplines by providing a global perspective into problems and approaches, rather than a comprehensive survey.