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Hansen J.P., McDonald I.R. Theory of Simple Liquids

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Hansen J.P., McDonald I.R. Theory of Simple Liquids
3rd edition. — Academic, London, 2006. — 416 p.
The liquid state
Intermolecular forces and model potentials
Experimental methods
Statistical mechanics
Time evolution and kinetic equations
Time averages and ensemble averages
Canonical and isothermal-isobaric ensembles
The grand canonical ensemble
Particle densities and distribution functions
Particle densities in the grand canonical ensemble
Computer simulation: molecular dynamics and Monte Carlo
Static properties of Liquids: Thermodynamics and Structure
A fluid in an external field
Functionals and functional differentiation
Functional derivatives of the grand potential
Density-functional theory
Direct correlation functions
The density response function
Diagrammatic methods
Diagrammatic expansions of the direct correlation functions
Virial expansion of the equation of state
Distribution-function Theories
The static structure factor
The YBG hierarchy and the Born-Green equation
Functional expansions and integral equations
The Percus-Yevick equation
The mean spherical approximation
Diagrammatic expansions[quote] of the pair functions
Extensions of integral equations
Perturbation Theory
Introduction: the van der Waals model
The L-expansion
Soft-core reference systems
An example: the Lennard-Jones fluid
Treatment of attractive forces
Mean-field theory of liquid-vapour coexistence
Scaling concepts and hierarchical reference theory
Confined fluids
Density-functional theory of freezing
Time-dependent Correlation and Response Functions
General properties of time-correlation functions
An illustration: the velocity autocorrelation function and self-diffusion
Brownian motion and the generalised Langevin equation
Correlations in space and time
Inelastic neutron scattering
Linear-response theory
Applications of the linear-response formalism
Hydrodynamics and Transport Coefficients
Thermal fluctuations at long wavelengths and low frequencies
Space-dependent self motion
The Navier-Stokes equation and Hydrodynamic collective modes
Transverse-current correlations
Longitudinal collective modes
Generalised hydrodynamics
Long-time tails in time-correlation functions
Dynamics of supercooled liquids
Theories of Time-correlation Functions
The projection-operator formalism
Self correlation functions
Transverse collective modes
Density fluctuations
Mode-coupling theory I. The velocity autocorrelation function
Mode-coupling theory II. The kinetic glass transition
Ionic Liquids
Classes and models of ionic liquids
Screening and charge ordering
Integral-equation theories
Frequency-dependent electric response
Microscopic dynamics in molten salts
The electric double layer
Effective interactions between colloidal particles
Liquid metals: electrons and ions
Ionic dynamics in liquid metals
Molecular Liquids
The molecular pair distribution function Expansions of the pair distribution function
Site-site distribution functions
Correlation-function expansions for simple polar fluids
The static dielectric constant
Integral-equation approximations for dipolar hard spheres
Interaction-site diagrams
Interaction-site models: the RISM equations
Angular correlations and the RISM formalism
Associating liquids
Reorientational time-correlation functions
Appendix A. Fluctuations
Appendix B. Two theorems in density-functional theory
Appendix C. Lemmas on diagrams
Appendix D. Solution of the PY equation for hard spheres
Appendix E. Scaled-particle theory.
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