Learn statistical mechanics and thermodynamics: entropy, ensembles and quizzes
148
Sub Topics
270
MCQs
114
MCOs
193
True/False
108
Fill Blanks
37
Rearrange
103
Matching
48
Comprehensions
94
Flashcard Decks
Curriculum
What You'll Learn
01 Fundamentals of Thermodynamics 5 topics
1 Basic Concepts and Definitions
- Systems, States, and Equilibrium
- State Variables and Equations of State
- Intensive and Extensive Properties
2 Zeroth Law of Thermodynamics
- Thermal Equilibrium
- Temperature and Temperature Scales
3 First Law of Thermodynamics
- Internal Energy
- Heat and Work
- Energy Conservation
- Enthalpy
- Specific Heats
4 Second Law of Thermodynamics
- Heat Engines and Refrigerators
- Reversible and Irreversible Processes
- Carnot Cycle
- Entropy
- Clausius Inequality
5 Third Law of Thermodynamics
- Absolute Zero
- Unattainability Principle
- Entropy at Absolute Zero
02 Thermodynamic Potentials and Relations 5 topics
1 Fundamental Thermodynamic Relations
- Maxwell Relations
- Gibbs-Duhem Equation
2 Thermodynamic Potentials
- Helmholtz Free Energy
- Gibbs Free Energy
- Legendre Transformations
3 Chemical Potential
- Partial Molar Quantities
- Gibbs-Duhem Equation
4 Thermodynamic Stability
- Le Chatelier's Principle
- Convexity Requirements
5 Phase Equilibria
- Gibbs Phase Rule
- Clausius-Clapeyron Equation
- Phase Diagrams
03 Classical Statistical Mechanics 5 topics
1 Probability Theory and Statistics
- Probability Distributions
- Ensemble Averages
- Fluctuations
2 Phase Space
- Hamiltonian Dynamics
- Liouville's Theorem
- Ergodic Hypothesis
3 Microcanonical Ensemble
- Equal A Priori Probability
- Entropy and Multiplicity
- Microcanonical Partition Function
4 Canonical Ensemble
- Boltzmann Distribution
- Canonical Partition Function
- Connection to Thermodynamics
5 Grand Canonical Ensemble
- Grand Canonical Partition Function
- Chemical Potential and Particle Number
- Grand Potential
04 Quantum Statistical Mechanics 5 topics
1 Quantum Statistics Fundamentals
- Density Matrix
- Quantum Ensembles
- Trace Operations
2 Quantum Canonical Ensemble
- Quantum Canonical Partition Function
- Quantum Free Energy
3 Identical Particles
- Indistinguishability Principle
- Exchange Symmetry
- Pauli Exclusion Principle
4 Quantum Gases
- Fermions and Bosons
- Fermi-Dirac Statistics
- Bose-Einstein Statistics
- Maxwell-Boltzmann Approximation
5 Blackbody Radiation
- Planck Distribution
- Stefan-Boltzmann Law
- Wien's Displacement Law
05 Ideal and Non-Ideal Gases 5 topics
1 Ideal Gas
- Equation of State
- Kinetic Theory
- Velocity Distribution
- Equipartition Theorem
2 Molecular Energy Levels
- Translational Energy
- Rotational Energy
- Vibrational Energy
- Electronic Energy
3 Diatomic and Polyatomic Gases
- Degrees of Freedom
- Heat Capacities
- Partition Functions
4 Non-Ideal Gases
- Virial Expansion
- Van der Waals Equation
- Intermolecular Forces
- Critical Phenomena
5 Classical and Quantum Limit
06 Quantum Gases 4 topics
1 Fermi Gas
- Fermi Energy
- Density of States
- Thermodynamic Properties
- Low Temperature Behavior
2 Bose Gas
- Bose-Einstein Condensation
- Critical Temperature
- Thermodynamic Properties
- Superfluid Transition
3 Photon Gas
- Blackbody Radiation
- Stefan-Boltzmann Law
- Radiation Pressure
4 Phonon Gas
- Crystal Vibrations
- Debye Model
- Einstein Model
- Specific Heat of Solids
07 Phase Transitions and Critical Phenomena 4 topics
1 Classification of Phase Transitions
- First and Second Order Transitions
- Order Parameters
- Landau Theory
2 Critical Phenomena
- Critical Exponents
- Scaling Relations
- Universality
- Renormalization Group
3 Binary Mixtures
- Phase Separation
- Critical Solution Point
- Lever Rule
- Regular Solution Theory
4 Magnetic Systems
- Paramagnetism
- Ferromagnetism
- Curie-Weiss Theory
- Ising Model
08 Nonequilibrium Statistical Mechanics 4 topics
1 Transport Phenomena
- Boltzmann Transport Equation
- Relaxation Time Approximation
- Linear Response Theory
2 Brownian Motion
- Langevin Equation
- Diffusion Equation
- Einstein Relation
3 Fluctuation-Dissipation Theorem
- Time Correlation Functions
- Green-Kubo Relations
- Onsager Reciprocal Relations
4 Irreversible Processes
- Entropy Production
- Master Equation
- Stochastic Processes
- H-Theorem
09 Interacting Systems 5 topics
1 Cluster Expansions
- Virial Coefficients
- Mayer Functions
- Diagrammatic Methods
2 Mean Field Theory
- Molecular Field Approximation
- Self-Consistent Field
- Weiss Model
3 Correlation Functions
- Pair Correlation
- Structure Factor
- Ornstein-Zernike Equation
4 Monte Carlo Methods
- Metropolis Algorithm
- Importance Sampling
- Thermal Averages
5 Molecular Dynamics
- Equations of Motion
- Integration Algorithms
- Equilibration and Sampling
10 Applications in Modern Physics 5 topics
1 Astrophysical Systems
- Stellar Structure
- White Dwarfs and Neutron Stars
- Black Hole Thermodynamics
2 Quantum Information
- Entanglement Entropy
- Von Neumann Entropy
- Quantum Statistical Ensembles
3 Low Temperature Physics
- Superconductivity
- Superfluidity
- Quantum Phase Transitions
4 Soft Matter
- Polymers
- Liquid Crystals
- Colloidal Systems
5 Biological Systems
- Protein Folding
- Molecular Motors
- Nonequilibrium Processes in Living Systems
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Statistical Mechanics and Thermodynamics
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