Thermodynamics

1. Advanced Topics in Thermodynamics
   1. Quantum Thermodynamics
      1. Quantum States and Energy Levels
         1. Quantum Mechanics Fundamentals
         2. Energy Quantization
      2. Quantum Entropy
         1. Von Neumann Entropy
         2. Quantum Statistical Mechanics
      3. Quantum Heat Engines
         1. Quantum Carnot Engine
         2. Quantum Efficiency Limits
      4. Thermal Properties of Quantum Systems
         1. Entanglement and Thermodynamics
         2. Quantum Systems at Low Temperatures
      5. Quantum Thermodynamic Work
         1. Work in Quantum Regimes
         2. Measurement of Work in Quantum Systems
   2. Thermodynamics of Black Holes
      1. Black Hole Mechanics
         1. Laws of Black Hole Thermodynamics
         2. Mass, Charge, and Angular Momentum
      2. Black Hole Entropy
         1. Bekenstein-Hawking Entropy
         2. Holographic Principle
      3. Hawking Radiation
         1. Quantum Field Theory in Curved Space
         2. Energy and Particle Emission
      4. Information Paradox
         1. Loss of Information in Black Holes
         2. Resolving the Paradox through Quantum Gravity
      5. Black Hole Thermodynamic Stability
         1. Local and Global Stability Criteria
         2. Energy Limits for Stability
   3. Nonequilibrium Thermodynamics
      1. Linear Nonequilibrium Thermodynamics
         1. Onsager Reciprocal Relations
         2. Thermodynamic Fluxes and Forces
      2. Far-from-equilibrium Processes
         1. Self-Organization
         2. Pattern Formation
      3. Entropy Production
         1. Irreversibility and Dissipative Systems
         2. Minimization of Entropy Production
      4. Nonlinear Thermodynamics
         1. Thermodynamic Branching
         2. Bifurcation Theory
      5. Nonequilibrium Statistical Mechanics
         1. Fluctuation Theorems
         2. Non-equilibrium Steady States
   4. Thermodynamic Optimization and Exergy Analysis
      1. Exergy and Irreversibility
         1. Exergy Destruction and Efficiency
         2. Sustainable Energy Systems
      2. Optimization in Thermodynamic Processes
         1. Maximum Work and Minimum Energy Principles
         2. Optimization Techniques
      3. Thermoeconomics
         1. Economic Analysis of Energy Systems
         2. Costing of Exergy Flows
      4. Exergy Analysis Applications
         1. Industrial Systems
         2. Environmental Systems and Sustainability
      5. Advanced Exergy Concepts
         1. Exergy in Renewable Resources
         2. Extended Exergy Accounting