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Phases of Matter: Solid, Liquid, Gas and Beyond

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  • Emergent Phenomena and Phases of Matter
    • 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.
  • Symmetries and Symmetry Breaking
    • 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.
  • Energy, Entropy and Phase Structure
    • This module introduces the concepts of energy, entropy and explains how the competition between them can drive phase transitions.
  • Mean Field Theory
    • 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.