Boltzmann's entropy formula

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Canonical Ensemble: Probability Distribution

Explores the probability distribution in the canonical ensemble and the Boltzmann distribution.

Atomistic Computer Modelling of Materials: Simulating and Sampling

Covers simulating and sampling in atomistic computer modelling of materials.

From Boltzmann to Vlasov equation

Discusses the derivation of Vlasov equation from Boltzmann equation, conservation laws, and formal solutions.

Metropolis-Hastings Algorithm

Covers the Metropolis-Hastings and Glauber algorithms for sampling from the Boltzmann distribution in the Curie-Weiss model.

Thermal Fluctuations: Importance at Cellular Scale

Explores the impact of thermal fluctuations at the cellular scale, emphasizing randomness in biological processes and the distribution of kinetic energy in gas molecules.

Random-Subcube Model

Introduces the Random-Subcube Model (RSM) for constraint satisfaction problems, exploring its structure, phase transitions, and variable freezing.

Canonical Distribution: Gibbs Entropy and Ensembles

Explores the derivation of the canonical distribution based on Gibbs's entropy and a maximum entropy principle.

Statistical Thermodynamics

Explores the derivation of internal energy from the partition function and the concept of entropy in statistical thermodynamics.

Statistical Definition of Entropy: Adatoms and Mixing

Explores the statistical definition of entropy, adatoms on a surface, and mixing in a solid solution.

Quantum Information

Explores the CHSH operator, self-testing, eigenstates, and quantifying randomness in quantum systems.