Thermal fluctuations

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Covers exercises on thermal equilibrium, heat capacity, phase transitions, and conservation of energy.

Covers the basics of statistical mechanics, focusing on the Langevin hypothesis and its implications.

Explores entropy, multiplicities, and thermodynamic equilibrium, emphasizing the fundamental law of entropy increase in closed systems.

Explains thermal equilibrium, heat transfer, the Fourier law, and thermodynamic principles in isolated systems.

Explores randomness in biology, covering thermal fluctuations, random walks, and data analysis techniques.

Explores the Euclidean path integral formalism, with a focus on the harmonic oscillator.

Covers the statistical mechanics of velocity and Langevin formulation, discussing the Langevin force and thermal equilibrium.

Explores the Fluctuation Dissipation Theorem, covering topics like the Langevin equation and force correlations in high-temperature equilibrium.

Introduces the Euclidean path integral and its applications in quantum field theory and statistical mechanics.