Graph Coloring: Entropy and Free Energy

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Explores entropy, ideal gases, and TDS equations in thermodynamics, emphasizing the importance of the Clausius inequality and the Carnot cycle.

Replica Method: Analytical Prolongation

Explores the replica method in determining the expectation of log z as small n approaches zero, showcasing mathematical challenges and solutions.

Applications des potentiels thermodynamiques: Equilibre entre phases

Discusses equilibrium between phases, the Clausius-Clapeyron equation, and specific Gibbs free energy.

Phase Boundaries: Second Order Phase Transitions & Specific Heat

Explores second order phase transitions and specific heat near critical temperature.

Entropy and Carnot Cycle

Covers entropy, Carnot cycle optimality, and free energy minimization in spontaneous processes.

Curie Weiss Model

Covers the Curie-Weiss model in Statistical Physics, including magnetization probability, free entropy, and the cavity method.

Graph Matching Entropy

Explores the relationship between matchings, entropy, and Bethe free entropy in random graphs.

Thermodynamics: Spontaneity and Entropy

Explores spontaneity in chemical reactions, entropy, and Gibbs free energy, emphasizing the prediction of reaction spontaneity under different conditions.

Thermodynamics: Fundamentals and Applications

Explores the basics of thermodynamics, including energy transformation, laws, and entropy.

Information Measures: Entropy and Information Theory

Explains how entropy measures uncertainty in a system based on possible outcomes.