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Il y a 4 modules dans ce cours
Complex systems can exhibit emergent phenomena, wherein the interplay of simple underlying rules governing the constituent parts leads to rich and unexpected behavior of the whole. Condensed matter physics is the branch of physics devoted to understanding such emergence in physical systems. It is the largest subfield of physics, and has developed a wealth of ideas and techniques for taming complexity. The course provides an introduction to this physics of emergence.
The course is aimed at a general audience. It assumes familiarity with algebra, and passing familiarity with basic concepts such as atoms and energy, but does not assume knowledge of advanced physics or mathematics. It is the first of a series of three courses introducing the key ideas of modern condensed matter physics. However, it can also be taken as a standalone course.
This module introduces the notion of emergent phenomena, and a central application of this notion: phases of matter. We define what constitutes a phase of matter, and explain that there are many phases beyond the familiar trio of solid, liquid, and gas.
Inclus
8 vidéos2 lectures4 devoirs2 évaluations par les pairs4 sujets de discussion
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8 vidéos•Total 80 minutes
Emergence•11 minutes
The Problem with Brute Force Solution•12 minutes
Seeking Simplicity in Complexity•7 minutes
Phases of Water•10 minutes
Phases of Matter•13 minutes
Supplemental: The Thermodynamic Limit•9 minutes
Supplemental: Phase Transitions•10 minutes
Module 1 Summary•8 minutes
2 lectures•Total 4 minutes
Course Updates and Accessibility Support•1 minute
Supplemental Content in the Course•3 minutes
4 devoirs•Total 50 minutes
Practice Quiz: Exploring Exponentials•10 minutes
Practice Quiz: Phases of Water•10 minutes
Practice Quiz: Phases of Matter•10 minutes
Graded Quiz: Emergent Phenomena and Phases of Matter•20 minutes
2 évaluations par les pairs•Total 30 minutes
Describing Emergent Phenomena •10 minutes
Phases of Matter and the Thermodynamic Limit•20 minutes
4 sujets de discussion•Total 45 minutes
Introductions and Emergent Phenomena in the Natural World•15 minutes
Phases of Matter Discussion•10 minutes
Phase Transitions•10 minutes
Module 1: What Have We Learned?•10 minutes
Symmetries and Symmetry Breaking
Module 2•4 heures à terminer
Détails du module
This module introduces the notion of symmetries, which provide a powerful tool for thinking about phases of matter. It also introduces the notion of spontaneous symmetry breaking.
Inclus
8 vidéos4 devoirs1 évaluation par les pairs4 sujets de discussion
Afficher les informations sur le contenu du module
8 vidéos•Total 77 minutes
Symmetries: What They Are•12 minutes
Symmetries: What They Are Good For•6 minutes
Supplemental: Lightning Introduction to Group Theory•10 minutes
Fun Aside: Wallpaper Groups•4 minutes
Supplemental: Representation Theory•8 minutes
Spontaneous Symmetry Breaking•14 minutes
Supplemental: Group Theory Applied to Symmetry Breaking•8 minutes
Analyzing Phases in Terms of Symmetries and Conclusion•14 minutes
4 devoirs•Total 70 minutes
Practice Quiz: Symmetries•10 minutes
Supplemental: Group and Representation Theory•30 minutes
Practice Quiz: Spontaneous Symmetry Breaking•10 minutes
Graded Quiz: Symmetries and Phases•20 minutes
1 évaluation par les pairs•Total 30 minutes
Spontaneous Symmetry Breaking•30 minutes
4 sujets de discussion•Total 40 minutes
Uses of Symmetry Discussion•10 minutes
Spontaneous Symmetry Breaking•10 minutes
Group Theory for Symmetry Breaking Discussion•10 minutes
The Landau Paradigm•10 minutes
Energy, Entropy and Phase Structure
Module 3•3 heures à terminer
Détails du module
This module introduces the concepts of energy, entropy and explains how the competition between them can drive phase transitions.
Inclus
7 vidéos3 devoirs1 évaluation par les pairs2 sujets de discussion
Afficher les informations sur le contenu du module
7 vidéos•Total 73 minutes
Introducing Energy•16 minutes
Energy and Ordering•9 minutes
Entropy•14 minutes
Ordering and Entropy•10 minutes
Free Energy as Function of Order Parameter•13 minutes
Order Parameter Near Phase Transitions•7 minutes
Module 3 Summary•5 minutes
3 devoirs•Total 40 minutes
Practice Quiz: Energy•10 minutes
Practice Quiz: Entropy Quiz•10 minutes
Graded Quiz: Module 3•20 minutes
1 évaluation par les pairs•Total 20 minutes
A Paragraph on What Energy is and its Properties•20 minutes
2 sujets de discussion•Total 20 minutes
Discussion on Entropy•10 minutes
Order Parameter and Phase Transitions Discussion•10 minutes
Mean Field Theory
Module 4•4 heures à terminer
Détails du module
In this module, you will learn a powerful tool for analyzing phases that are classified by symmetries, known as mean field theory. You will learn to apply this tool.
Inclus
9 vidéos3 devoirs1 évaluation par les pairs3 sujets de discussion
Afficher les informations sur le contenu du module
9 vidéos•Total 74 minutes
Mean Field Theory•14 minutes
Supplemental: Quantitative Analysis of Free Energy•4 minutes
Practice Quiz: Mean Field Theory of Phase Transitions•15 minutes
Graded Quiz: Module 4 •20 minutes
Course 1 Review: Summative Exam•30 minutes
1 évaluation par les pairs•Total 30 minutes
Applying Ideas to Everyday Life•30 minutes
3 sujets de discussion•Total 45 minutes
Landau Theory of Phase Transitions•15 minutes
Effect of Impurities•15 minutes
What Have We Learned?•15 minutes
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Révisé le 20 févr. 2024
Just enough complexity to keep the topic interesting and difficult.
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