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Emanuela Zaccarelli Physics of Liquids Course

Course Programme

Review of thermodynamics and statistical mechanics concepts
Simple and complex liquids
Van der Waals equation
Pair correlation function
Elastic scattering
Ornstein-Zernike equation
Closures from functional derivatives
Percus-Yevick solution for hard spheres and Baxter model
Perturbation theories
Correlation functions in time and space
Introduction to Dynamics
Diffusion and velocity auto-correlation function
Mori-Zwanzig projection operator formalism
Hydrodynamics and dynamic structure factors
Slow dynamics and glass transition
Mode Coupling theory
Equilibrium polymerization
Effective potentials. The case of depletion interactions

Collection of Lecture Notes

Introduction; van der Wals Equation
g(r)
Pressure
Elastic scattering
Ornstein-Zernike Equation
Closures
HS and Baxter; PY solution, Carnahan and Starling; Baxter model; OZ numerical solution
Perturbation theory
Correlation functions in time and space
Hydrodynamics, Navier-Stokes
Mori-Zwanzig formalism
Glass transition phenomenology

xyz-Configurations to calculate g(r)

Hard spheres at different packing fractions

Bibliography

Jean-Pierre Hansen and Ian R. McDonald : Theory of Simple Liquids (3rd Edition)

for the topic Effective potentials in Soft Matter:
Christos N. Likos, Physics Reports 348, 267 (2001) Sections 2.3 and 4