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Journal ArticleDOI

On linearized hydrodynamical modes in statistical physics : III. The long-wavelength, low-frequency limit of the Van Hove correlation function

Pierre Resibois
- 16 Nov 1970 - 
- Vol. 49, Iss: 4, pp 591-601
TLDR
In this article, the fonction de correlation de Van Hove est calculee d'habitude sur la base d'arguments macroscopiques, and a justification rigoureuse a ces results is presented.
About
This article is published in Physica D: Nonlinear Phenomena.The article was published on 1970-11-16. It has received 12 citations till now. The article focuses on the topics: Correlation function (statistical mechanics).

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Citations
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Book ChapterDOI

Microscopic simulations of complex flows

TL;DR: The direct simulation Monte Carlo method has been used for the simulation of complex fluid flows as discussed by the authors, and has been applied in many applications, such as computer simulation of Collapsing systems and simulation of exothermic chemical systems.
Journal ArticleDOI

Electron-phonon interaction and inter-valley scattering in semiconductors

TL;DR: In this paper, a technique for calculating intervalley electron-phonon coupling constants is developed for germanium, silicon and gallium arsenide, and the results do not support the three-level oscillator structure for indium phosphide.
Journal ArticleDOI

Long-wavelength fluctuation spectra of charged versus neutral one component systems

TL;DR: In this article, the long-wavelength excitations of a classical electron gas have been established valid to all orders in the density, charge and plasma expansion parameter, and the strengths with which these excitations appear in various space-time autocorrelation functions have also been calculated.
Journal ArticleDOI

Collective modes and dynamic structure factor of a two-dimensional electron fluid

TL;DR: In this paper, the authors describe a two-dimensional, classical, one-component plasma with inverse distance interactions and obtain exact expressions for the collective modes and the dynamic structure factor in the limit of long wavelengths.
Journal ArticleDOI

On the transport properties of a van der Waals fluid. I. Formal theory

TL;DR: In this paper, a formal exact analysis of the autocorrelation formulas for transport coefficients in a van der Waals fluid is presented, and the first correction due to the long range force is of order γ (γ = inverse range of the force).
References
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Journal ArticleDOI

Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles

TL;DR: In this paper, a natural time-dependent generalization for the well-known pair distribution function $g(mathrm{r})$ of systems of interacting particles is given, which gives rise to a very simple and entirely general expression for the angular and energy distribution of Born approximation scattering by the system.
Journal ArticleDOI

Hydrodynamic equations and correlation functions

TL;DR: In this paper, the response of a system to an external disturbance can always be expressed in terms of time dependent correlation functions of the undisturbed system, and the complicated structure the correlation functions must have in order that these descriptions coincide.
Journal ArticleDOI

Spectral Distribution of Scattered Light in a Simple Fluid

TL;DR: In this article, the spectral distribution of light scattered by density fluctuations in a dense, monatomic, one-component fluid is calculated from the time dependence of the density fluctuations predicted by the linearized hydrodynamic equations of irreversible thermodynamics.
Journal ArticleDOI

Kinetic-Equation Approach to Time-Dependent Correlation Functions

TL;DR: In this article, the Van Hove Neutron scattering function has been solved for displaced correlation functions in a classical fluid, where the first-order kinetic equation is of the Vlasov type with an effective potential given by the equilibrium direct correlation function, while the second-order equation contains a linear Enskog-type collision term.
Journal ArticleDOI

On linearized hydrodynamic modes in statistical physics

TL;DR: In this paper, the authors formulate the linearized generalized Boltzmann equation as an (asymmetric) eigenvalue problem, and show that the corresponding eigenfunctions are microscopic analogs, in terms of one-particle distribution functions, of the well-known linearized hydrodynamic modes of macroscopic physics.
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