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Statistical Mechanics: Algorithms and Computations · LearnSpace
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Statistical Mechanics: Algorithms and Computations

Курс от École normale supérieure
Уровень не указан≈ 15.9 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

In this course you will learn a whole lot of modern physics (classical and quantum) from basic computer programs that you will download, generalize, or write from scratch, discuss, and then hand in. Join in if you are curious (but not necessarily knowledgeable) about algorithms, and about the deep insights into science that you can obtain by the algorithmic approach.

Навыки, которые вы освоите

AlgorithmsMarkov ModelSimulationsMechanicsPhysicsApplied MathematicsSimulation and Simulation SoftwareSampling (Statistics)Mathematical SoftwareNumerical AnalysisProgram DevelopmentProgramming PrinciplesIntegral CalculusModel Optimization

Программа курса

10 модулей · 59 учебных материалов

01Monte Carlo algorithms (Direct sampling, Markov-chain sampling)7 материалов

Lecture 1: Introduction to Monte Carlo algorithms

Lecture 1: Introduction to Monte Carlo algorithmsВидеоPython programs and referencesЧтениеErrata (Lecture 1)Чтение

Tutorial 1: Exponential convergence and the 3x3 pebble game

Tutorial 1: Exponential convergence and the 3x3 pebble gameВидео

Учитесь у экспертов

Werner Krauth

Directeur de recherches au CNRS

Statistical Mechanics: Algorithms and Computations
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Новые знания — в удобное для вас время.

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Обучение откроется на Coursera
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Обучение на Coursera

≈ 15.9 ч

10 модулей

Язык: Английский

Субтитры: Арабский, Французский, Бенгальский, Узбекский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Пушту, Урду, Русский, Тайский, Индонезийский, Шведский, Турецкий, Азербайджанский, Испанский, Дари, Хинди, Японский, Казахский, Венгерский, Польский

Часть программы вашего университета

Homework Session 1: From the one-half rule to the bunching method

Homework Session 1: From the one-half rule to the bunching methodВидеоPractice quiz 1: spotting a correct algorithmЗаданиеFrom the one-half rule to the bunching methodВзаимная проверка
02Hard disks: From Classical Mechanics to Statistical Mechanics6 материалов

Lecture 2: Hard disks: from Classical Mechanics to Statistical Mechanics

Lecture 2: Hard disks: from Classical Mechanics to Statistical MechanicsВидеоPython programs and referencesЧтение

Tutorial 2: Equiprobability, partition functions, and virial expansions for hard disks

Tutorial 2: Equiprobability, partition functions, and virial expansions for hard disksВидео

Homework Session 2: Paradoxes of hard-disk simulations in a box

Homework Session 2: Paradoxes of hard-disk simulations in a boxВидеоPractice quiz 2: spotting a correct algorithm (continued)ЗаданиеParadoxes of hard-disk simulations in a boxВзаимная проверка
03Entropic interactions and phase transitions7 материалов

Lecture 3: Entropic interactions, phase transitions

Lecture 3: Entropic interactions, phase transitionsВидеоPython programs and referencesЧтение

Tutorial 3: Algorithms, exact solutions, thermodynamic limit

Tutorial 3: Algorithms, exact solutions, thermodynamic limitВидеоErrata (Tutorial 3)Чтение

Homework Session 3: Two-dimensional liquids and solids

Homework Session 3: Two-dimensional liquids and solidsВидеоPractice quiz 3: Spotting a correct algorithm (continued)ЗаданиеTwo-dimensional liquids and solidsВзаимная проверка
04Sampling and integration6 материалов

Lecture 4: Sampling and Integration - From Gaussians to the Maxwell and Boltzmann distributions

Lecture 4: Sampling and Integration - From Gaussians to the Maxwell and Boltzmann distributionsВидеоPython programs and referencesЧтение

Tutorial 4: Sampling discrete and one-dimensional distributions

Tutorial 4: Sampling discrete and one-dimensional distributionsВидео

Homework Session 4: Sampling and integration in high dimensions

Homework Session 4: Sampling and integration in high dimensionsВидеоPractice quiz 4: four disks in a boxЗаданиеSampling and integration in high dimensionsВзаимная проверка
05Density matrices and Path integrals (Quantum Statistical mechanics 1/3)6 материалов

Lecture 5: Density matrices and path integrals

Lecture 5: Density matrices and path integralsВидеоPython programs and referencesЧтение

Tutorial 5: Trotter decomposition and quantum time-evolution

Tutorial 5: Trotter decomposition and quantum time-evolutionВидео

Homework session 5: Quantum statistical mechanics and Quantum Monte Carlo

Homework session 5: Quantum statistical mechanics and Quantum Monte CarloВидеоPractice quiz 5: Four disks in a box (continued)ЗаданиеQuantum statistical mechanics and Quantum Monte CarloВзаимная проверка
06Lévy Quantum Paths (Quantum Statistical mechanics 2/3)6 материалов

Lecture 6: Lévy sampling of quantum paths

Lecture 6: Lévy sampling of quantum pathsВидеоPython programs and referencesЧтение

Tutorial 6: Bosonic statistics (with wave functions)

Tutorial 6: Bosonic statistics (with wave functions)Видео

Homework session 6: Path sampling: A firework of algorithms

Homework session 6: Path sampling: A firework of algorithmsВидеоPractice quiz 6: Path integralsЗаданиеPath sampling: A firework of algorithmsВзаимная проверка
07Bose-Einstein condensation (Quantum Statistical mechanics 3/3)6 материалов

Lecture 7: Quantum indiscernability and Bose-Einstein condensation

Lecture 7: Quantum indiscernability and Bose-Einstein condensationВидеоPython programs and referencesЧтение

Tutorial 7: Permutation cycles and ideal Bosons

Tutorial 7: Permutation cycles and ideal BosonsВидео

Homework session 7: Bosons in a trap - Bose-Einstein condensation

Homework session 7: Bosons in a trap - Bose-Einstein condensationВидеоPractice quiz 7: BECЗаданиеBosons in a trap - Bose-Einstein condensationВзаимная проверка
08 Ising model - Enumerations and Monte Carlo algorithms6 материалов

Lecture 8: Ising model - From enumeration to Cluster Monte Carlo Simulations

Lecture 8: Ising model - From enumeration to Cluster Monte Carlo SimulationsВидеоPython programs and referencesЧтение

Tutorial 8: Ising model - Heat bath algorithm, coupling of Markov chains

Tutorial 8: Ising model - Heat bath algorithm, coupling of Markov chains Видео

Homework session 8: Cluster sampling, perfect sampling in the Ising model

Homework session 8: Cluster sampling, perfect sampling in the Ising modelВидеоPractice quiz 8: Spins and Ising modelЗаданиеCluster sampling, perfect sampling in the Ising modelВзаимная проверка
09Dynamic Monte Carlo, simulated annealing5 материалов

Lecture 9: Dynamical Monte Carlo and the Faster-than-the-Clock approach

Lecture 9: Dynamical Monte Carlo and the Faster-than-the-Clock approachВидеоPython programs and referencesЧтение

Tutorial 9: Simulated Annealing and the 13-sphere problem

Tutorial 9: Simulated Annealing and the 13-sphere problemВидео

Homework session 9: Simulated Annealing for sphere packings and the travelling salesman problem

Homework session 9: Simulated Annealing for sphere packings and the travelling salesman problemВидеоSimulated Annealing for sphere packings and the travelling salesman problemВзаимная проверка
10 The Alpha and the Omega of Monte Carlo, Review, Party4 материалов

Lecture 10: The Alpha and the Omega of Monte Carlo

Lecture 10: The Alpha and the Omega of Monte CarloВидеоPython programs and referencesЧтение

Tutorial 10: Review - Party - Best of

Tutorial 10: Review - Party - Best ofВидео

Final Exam

Final Exam 2016Задание