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Title: Introduction to Monte Carlo methods for an Ising Model of a Ferromagnet |
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This discussion serves as an introduction to the use of Monte Carlo simulations as a useful way to evaluate the observables of a ferromagnet. Key background is given about the relevance and effectiveness of this stochastic approach and in particular the applicability of the Metropolis-Hastings algorithm. Importantly the potentially devastating effects of spontaneous magnetization are highlighted and a means to avert this is examined.
An Ising model is introduced and used to investigate the properties of a two dimensional ferromagnet with respe . . . . |
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Ekpyrotic and Cyclic Cosmology |
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Ekpyrotic and cyclic cosmologies provide theories of the very early and of the very late universe. In these models, the big bang is described as a collision of branes - and thus the big bang is not the beginning of time. Before the big bang, there is an ekpyrotic phase with equation of state w=P/rho >> 1 (where P is the average pressure and rho the average energy density) during which the universe slowly contracts. This phase resolves the standard cosmological puzzles and generates a nearly scale-invariant spectrum of cosmological perturbations . . . . |
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Title: An introduction to quantum cluster methodsThese lecture notes provide an introduction to quantum cluster methods for stro |
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These lecture notes provide an introduction to quantum cluster methods for strongly correlated systems. Cluster Perturbation Theory (CPT), the Variational Cluster Approximation (VCA) and Cellular Dynamical Mean Field Theory (CDMFT) are described, as well as the exact diagonalization solver for the cluster. Potthoff's self-energy functional formalism is reviewed. Some numerical procedures, in particular regarding the exact diagonalization method and the frequency-momentum integrals needed in VCA, are discussed in detail. . . . . |
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Optical Metamagnetism and Negative Index Metamaterials |
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Posted on 0000-00-00
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A new class of artificially structured materials called metamaterials makes it possible to achieve electromagnetic properties that do not exist in nature. In this paper we review the recent progress made in the area of optical metamaterials. It was predicted that nanostructured metamaterials could provide us with artificial magnetic response and negative refractive index at optical frequencies. To date, optical metamagnetics have been already fabricated to demonstrate artificial magnetic response in the infrared and across the entire visible sp . . . . |
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Cosmic Rays and the Search for a Lorentz Invariance Violation |
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This is an introductory review about the on-going search for a signal of Lorentz Invariance Violation (LIV) in cosmic rays. We first summarise basic aspects of cosmic rays, focusing on rays of ultra high energy (UHECRs). We discuss the Greisen-Zatsepin-Kuz'min (GZK) energy cutoff for cosmic protons, which is predicted due to photopion production in the Cosmic Microwave Background (CMB). This is a process of modest energy in the proton rest frame. It can be investigated to a high precision in the laboratory, if Lorentz transformations apply even . . . . |
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Microscopic approaches for nuclear Many-Body dynamics |
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Posted on 0000-00-00
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These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion collisions. We present both formal aspects and practical applications of the time-dependent Hartree-Fock (TDHF) theory. The TDHF approach gives a mean field dynamics of the system under the assumption that particles evolve independently in their self-consistent average field. As an example, we study the . . . . |
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Chimie Inorganique |
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Contenu: Chapitre I : Principes généraux; Chapitre II : Eléments des blocs s et p; Chapitre III : Eléments du bloc d. . . . . |
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Algebraic Combinatorics |
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Algebraic Combinatorics in Mathematical Chemistry. Methods and Algorithms. I. Permutation Groups and Coherent (Cellular) Algebras. . . . . |
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An introduction to quantum cluster methods |
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Posted on 0000-00-00
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These lecture notes provide an introduction to quantum cluster methods for strongly correlated systems. Cluster Perturbation Theory (CPT), the Variational Cluster Approximation (VCA) and Cellular Dynamical Mean Field Theory (CDMFT) are described, as well as the exact diagonalization solver for the cluster. Potthoff's self-energy functional formalism is reviewed. Some numerical procedures, in particular regarding the exact diagonalization method and the frequency-momentum integrals needed in VCA, are discussed in detail. . . . . |
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MPI: The Complete Reference |
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Posted on 0000-00-00
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This book is about the Message Passing Interface (MPI), an important and increasingly popular standarized and portable message passing system that brings us closer to the potential development of practical and cost-effective large-scale parallel applications. It gives a complete specification of the MPI standard and provides illustrative programming examples. . . . . |
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A Field Guide to Recent Work on the Foundations of Statistical Mechanics |
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Posted on 0000-00-00
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This is an extensive review of recent work on the foundations of statistical mechanics. Subject matters discussed include: interpretation of probability, typicality, recurrence, reversibility, ergodicity, mixing, coarse graining, past hypothesis, reductionism, phase average, thermodynamic limit, interventionism, entropy. . . . . |
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Spectroscopy of Conjugated Polymers |
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Contents: Correlations in Conjugated Polymers; Nature of the Primary Photo-Excitations in Poly(Arylene-Vinylenes): Bound Neutral Excitons or Charged Polaron Pairs; Excitons in Conjugated Polymers; Intramolecular Excitons and Intermolecular Polaron Pairs as Primary Photoexcitations in Conjugated Polymers; Excitonic Effects in the Linear and Nonlinear Optical Properties of Conjugated Polymers; Bound Polaron Pair Formation in Poly (Phenylenevinylenes); Luminescence Efficiency and Time-Dependence: Insights into the Nature of the Emitting Specie . . . . |
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Theory of Spin Hall Effects in Semiconductors |
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Posted on 0000-00-00
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Spin Hall effects are a collection of phenomena, resulting from spin-orbit coupling, in which an electrical current flowing through a sample can lead to spin transport in a perpendicular direction and spin accumulation at lateral boundaries. These effects, which do not require an applied magnetic field, can originate in a variety of intrinsic and extrinsic spin-orbit coupling mechanisms and depend on geometry, dimension, impurity scattering, and carrier density of the system--making the analysis of these effects a diverse field of research. In . . . . |
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The fuzzball proposal for black holes |
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The fuzzball proposal states that associated with a black hole of entropy S there are exp S horizon-free non-singular solutions that asymptotically look like the black hole but generically differ from the black hole up to the horizon scale. These solutions, the fuzzballs, are considered to be the black hole microstates while the original black hole represents the average description of the system. The purpose of this report is to review current evidence for the fuzzball proposal, emphasizing the use of AdS/CFT methods in developing and testing . . . . |
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From Deterministic Chaos to Deterministic Diffusion |
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Posted on 0000-00-00
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This is a set of easy-to-read lecture notes for a short first-year Ph.D. student course on Applied Dynamical Systems, which was given at the London Taught Course Centre in Spring 2008. The notes cover five hours of lectures and do not require any preknowledge on dynamical systems. The first part introduces to deterministic chaos in one-dimensional maps in form of Ljapunov exponents and the metric entropy. The second part first outlines the concept of deterministic diffusion. Then the escape rate formalism for deterministic diffusion, which expr . . . . |
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The large deviation approach to statistical mechanics |
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Posted on 0000-00-00
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The theory of large deviations is concerned with the exponential decay of probabilities of large fluctuations in random systems. These probabilities are important in many fields of study, including statistics, finance, and engineering, as they yield valuable information about the large fluctuations of a random system around its most probable state or trajectory. In the context of equilibrium statistical mechanics, the theory of large deviations provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of . . . . |
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Bose-Einstein condensates in disordered potentials |
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Posted on 0000-00-00
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The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be powerful tools to quantum simulate disordered systems. We will review the main experimental and theoretical results achieved in the last few years in this rapidly developing field. . . . . |
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Handbook of Graphs and Networks: From the Genome to the Internet |
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Posted on 0000-00-00
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Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex network structures. Similar phenomena are observed in traffic flow and in communication networks as the internet. In current problems of the Biosciences, prominent examples are protein networks in the living cell, as well as molecular networks in the genome. On larger scales one finds networks of cells as in neural networks, u . . . . |
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Learning MatLab 7 |
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Contents: Chapter 1, Introduction; Chapter 2, Installing Matlab; Chapter 3, Introduces MATLAB and the MATLAB desktop; Chapter 4, Matrices and Arrays,
Introduces matrices and arrays, how to enter and generate them, how to
operate on them, and how to control Command Window input and output; Chapter 5, Graphics, Introduces MATLAB graphic capabilities and the tools that let you
customize your graphs to suit your specific needs; Chapter 6, Programming
Describes how to use the MATLAB language to create scripts and functions, and manip . . . . |
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MATLAB primer |
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The purpose of this Primer is to help you begin to use MATLAB. It is not intended
to be a substitute for the User’s Guide and Reference Guide for MATLAB. The Primer
can best be used hands-on. You are encouraged to work at the computer as you read the
Primer and freely experiment with examples. This Primer, along with the on-line help
facility, usually suffice for students in a class requiring use of MATLAB. . . . . |
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Writing Fast MATLAB Code |
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Learn how to use the Profiler tool, vectorized functions, and other tricks to writing efficient MATLAB code. This article includes how to convert any array into a column vector, bounding a value without if statements, and repeating/tiling a vector without repmat. . . . . |
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Introduction to MATLAB |
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In this lab you will cover the following basic things:
• using Matlab as a numerical calculator
• entering row vectors and column vectors
• entering matrices
• forming matrix and vector products
• doing matrix products, sums etc
• using Matlab to solve linear equations
• Matlab functions that operate on arrays
• Plotting basic graphs using Matlab. . . . . |
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Some highlights of arithmetic combinatorics |
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Posted on 0000-00-00
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Contents: Cauchy-Davenport inequality, Plunnecke's theorem, sum set estimates; Freiman's theorem (both in the torsion and torsion-free cases), Gowers-Walters theorem, Chang's refinement of Freiman's theorem; Gowers' quantitative Balog-Szemeredi theorem; applications to the Kakeya problem; applications to a multilinear convolution integral;Roth's theorem for APs of length 3; Gowers' proof of Szemeredi's theorem for APs of length 4; Behrend's example; Bourgain's refinement of Roth's theorem; Crossing numbers and Szemeredi's theorem; Elekes's sum- . . . . |
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Molecular biophysics lectures |
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Contents: An introduction to experimental techniques in structural biology; Molecular dynamics and modelling; An introduction to protein structure; Geometry and physics of proteins; Scaling of folding properties of proteins, folding and stratching in model proteins; Macromolecular interactions, theoretical principles I.
Experimental methods, applications; X-ray crystallography, Electron Microscopy, Electron diffracion; Circular Dichroism spectropscopy; Electron microscopy of macromolecular assemblies; Mechanics of single molecules; Mass spect . . . . |
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Structural Biology and Functional Genomics |
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Biomedical research will be revolutionised by the current efforts to sequence the human genome and the genomes of model organisms. Of the newly sequenced genes, 50% code for proteins of unknown functions, while as little as 5% of sequences in mammalian genomes code for proteins. New, genome-wide approaches are needed to draw together the knowledge that is emerging simultaneously in a number of fields of genome research. This volume is a high-level survey of the newly emerging concepts of structural biology and functional genomics for biologists . . . . |
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Structural Bioinformatics |
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Contents: DEFINING BIOINFORMATICS AND STRUCTURAL BIOINFORMATICS; FUNDAMENTALS OF PROTEIN STRUCTURE; FUNDAMENTALS OF DNA AND RNA STRUCTURE; COMPUTATIONAL ASPECTS OF HIGH-THROUGHPUT CRYSTALLOGRAPHIC MACROMOLECULAR STRUCTURE DETERMINATION; MACROMOLECULAR STRUCTURE DETERMINATION BY NMR SPECTROSCOPY; ELECTRON MICROSCOPY; MOLECULAR VISUALIZATION; DATA REPRESENTATION AND DATABASES; PROTEIN STRUCTURE EVOLUTION AND THE SCOP DB; THE CATH DOMAIN STRUCTURE DATABASE; STRUCTURAL QUALITY ASSURANCE; ALL-ATOM CONTACTS: A NEW A . . . . |
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Many Body |
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Posted on 2008-05-25
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Contents: Landau-Fermi-liquid theory: Phenomenology; Second Quantization; Linear Response Theory; Hartree-Fock Approximation; Feynamm diagram technique; Landau-Fermi liquid theory: a microscopic just . . . . . . . . |
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Bioinformatics: Sequence and Genome Analysis |
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Posted on 2008-04-19
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Contents:
1 Historical Introduction and Overview
2 Collecting and Storing Sequences in the Laboratory
3 Alignment of Pairs of Sequences
4 Multiple Sequence Alignment
5 Prediction of RNA Secondary Structure
6 Phylogenetic Prediction
7 Database Searching for Similar Sequences
8 Gene Prediction
9 Protein Clasisfication and Structure Prediction
10 Genome Analysis
Glossary. . . . . |
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Evolution of Networks: From Biological Nets to the Internet and WWW |
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Posted on 2008-04-18
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Contents: Modern architecture of random graphs; What are networks? ; Popularity is attractive; Real networks; Equilibrium networks; Non-equilibriurn networks; Global topology of networks; Growth of networks and self-organized criticality; Philosophy of a small world. . . . . |
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