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Lattice sums then and now / Jonathan M. Borwein (2013)
Titre : Lattice sums then and now Type de document : texte imprimé Auteurs : Jonathan M. Borwein, Auteur ; M.L. Glasser, Auteur ; R.C. McPhedran, Auteur Editeur : Cambridge : Cambridge University Press Année de publication : 2013 Collection : Encyclopedia of Mathematics and its Applications Importance : XIX-368 p. Présentation : Relie, couv.ill en coul, graph Format : 24 cm ISBN/ISSN/EAN : 978-1-107-03990-2 Langues : Anglais (eng) Catégories : (61.00) Structure (non-electronique) des solides et de liquides crystallographie Mots-clés : Lattice theory and statistics Optical properties of surfaces Index. décimale : 61.00 Résumé : The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered.
The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered.Note de contenu : 1. Lattice sums. - 2 Convergence of lattice sums and Madelung's constant. - 3 Angular lattice sums. - 4 Use of Dirichlet series with Complex characters. - 5 Lattice sums and Ramanujan's modular equations. - 6 Closed form evaluations of three- and four-dimensional sums. - 7 Electron sums. - 8 Madelung sums in higher dimensions. - 9 : 70 years of the Watson integrals Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ004079 61.00.68 texte imprimé Bibli FERMI 3R4 Recherche Disponible Symmetry / Roy McWeeny (1963)
Titre : Symmetry : an introduction to group theory and its applications Type de document : texte imprimé Auteurs : Roy McWeeny, ; D. Phil, Editeur : London : Pergamon Année de publication : 1963 Collection : International encyclopedia of physical chemistry and chemical physics Importance : XIV-248 P. Présentation : Relié. Graph. Format : 24 cm Langues : Anglais (eng) Catégories : (31.15) Theorie des groupes, symetries et informatique pour la chimie Mots-clés : symmetry group theory lattice theory and statistics space groups operator theory Index. décimale : 31.15 Exemplaires (2)
Code-barres Cote Support Localisation Section Disponibilité PQ000502 31.15.40 texte imprimé Bibli FERMI 3R1 RDC Recherche Disponible PT003070 31.15.40 texte imprimé Bibli FeRMI 3R1 sous-sol Recherche Disponible The statistical mechanics of lattice gases. Vol. I / Barry Simon (1993)
Titre : The statistical mechanics of lattice gases. Vol. I Type de document : texte imprimé Auteurs : Barry Simon, Auteur Editeur : Princeton (New Jersey) : Princeton University Press Année de publication : 1993 Importance : 522 p. Présentation : Relié. Graph. Format : 24 cm ISBN/ISSN/EAN : 978-0-691-08779-5 Langues : Anglais (eng) Catégories : (05.20) Mecanique statistique classique et quantique Mots-clés : statistical mechanics gases lattice theory and statistics pressure effects Index. décimale : 05.20 Résumé : 1. preliminaries 2. the pressure 3. states : the classical case 4. states : the quantum case 5. high temperature and low densities bibliographical references index Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ001521 05.20.SIM texte imprimé Bibli FERMI 3R4 Recherche Disponible Complexity and criticality / Kim Christensen (2005)
Titre : Complexity and criticality Type de document : texte imprimé Auteurs : Kim Christensen, Auteur ; Nicholas R. Moloney, Auteur Editeur : London : Imperial College Press Année de publication : 2005 Collection : Imperial College Press Advanced Physics Texts num. 1 Importance : VII-363 P. Présentation : Broché. Couv.ill. en coul., fig., ill. Format : 22 cm ISBN/ISSN/EAN : 978-1-86094-517-5 Langues : Anglais (eng) Catégories : (05.20) Mecanique statistique classique et quantique Mots-clés : complex systems criticality self-organised percolation (phase transitions) lattice theory and statistics clusters ising model renormalization field theory earthquakes rain Index. décimale : 05.20 Résumé : 1 percolation - 2 ising model - 3 self-organised criticality - appendix - taylor expansion - hyperbolic functions - homogeneous and scaling functions - fractals - data binning - boltzmann distribution - free energy - metropolis algorithm Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ002437 05.20.CHR texte imprimé Bibli FERMI 3R4 Recherche Disponible A Guide to Monte Carlo Simulations in Statistical Physics / David P. Landau (2016)
Titre : A Guide to Monte Carlo Simulations in Statistical Physics Type de document : texte imprimé Auteurs : David P. Landau, Auteur ; Kurt Binder, Auteur Mention d'édition : 4th Ed. Editeur : Cambridge : Cambridge University Press Année de publication : 2016 Importance : XVII-519 P. Présentation : Relie. Couv. ill. en coul., graph Format : 25 cm ISBN/ISSN/EAN : 978-1-107-07402-6 Langues : Anglais (eng) Catégories : (05.20) Mecanique statistique classique et quantique Mots-clés : statistical physics monte carlo method lattice theory and statistics lattice gauge theory Index. décimale : 05.20 Résumé : 1 Introduction. - 2 Some necessary background. - 3 Simple sampling Monte Carlo methods. - 4 Importance sampling Monte Carlo methods. - 5 More on importance sampling Monte Carlo methods for lattice systems. - 6 Off-lattice models. - 7 Reweighting methods. - 8 Quantum Monte Carlo methods. - 9 Monte Carlo renormalization group methods. - 10 Non-equilibrium and irreversible processes. - 11 Lattice gauge models: a brief introduction. - 12 A brief review of other methods of computer simulation. - 13 Monte Carlo simulations at the periphery of physics and beyond. - 14 Monte Carlo studies of biological molecules. - 15 Outlook Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité PQ003754 05.20.LAN texte imprimé Bibli FERMI 3R4 Recherche Disponible Quantum Methods with Mathematica / J.M. Feagin (1994)
PermalinkAn Introduction to Statistical Thermodynamics / Terrell L. Hill (1986)
PermalinkFoundations of quantum mechanics. I / G. Ludwig (1983)
PermalinkFrustrated spin systems / Hung T. Diep (2004)
PermalinkRadiative transfer on discrete spaces / Rudolph W. Preisendorfer (1965)
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