Journal ArticleDOI
Kinetic equations and time correlation functions of critical fluctuations.
Kyozi Kawasaki,Kyozi Kawasaki +1 more
TLDR
In this paper, the Boltzmann equation of dilute gases was derived with the aid of a generalized Langevin equation due to Mori, which was then used to obtain selfconsistent closed equations to determine time correlation functions of critical fluctuations.About:
This article is published in Annals of Physics.The article was published on 1970-11-01. It has received 699 citations till now. The article focuses on the topics: Critical point (thermodynamics) & Independent equation.read more
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Theory of Dynamic Critical Phenomena
TL;DR: The renormalization group theory has been applied to a variety of dynamic critical phenomena, such as the phase separation of a symmetric binary fluid as mentioned in this paper, and it has been shown that it can explain available experimental data at the critical point of pure fluids, and binary mixtures, and at many magnetic phase transitions.
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Diffuse-interface methods in fluid mechanics
TL;DR: Issues including sharp-interface analyses that relate these models to the classical free-boundary problem, computational approaches to describe interfacial phenomena, and models of fully miscible fluids are addressed.
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Equilibrium and nonequilibrium formalisms made unified
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Dynamics of supercooled liquids and the glass transition
TL;DR: In this article, closed nonlinear equations are derived for a self-consistent treatment of density propagation, self-diffusion and current relaxation in a classical monatomic fluid, and a simplified model is analyzed in detail.
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On a Lagrangean for classical field dynamics and renormalization group calculations of dynamical critical properties
TL;DR: In this paper, a Lagrangean for nonlinear stochastic processes is derived from the path probability density for classical field dynamics, which provides a convenient approach to the mode coupling equations and the renormalization group theory of critical dynamics.
References
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Journal ArticleDOI
The fluctuation-dissipation theorem
TL;DR: In this article, the linear response of a given system to an external perturbation is expressed in terms of fluctuation properties of the system in thermal equilibrium, which may be represented by a stochastic equation describing the fluctuation, which is a generalization of the familiar Langevin equation in the classical theory of Brownian motion.
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Lectures in Theoretical Physics
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Ensemble Method in the Theory of Irreversibility
TL;DR: In this paper, a projection operator is used to separate an ensemble density into a relevant part, needed for the calculation of mean values of specified observables, and the remaining ''irrelevant'' part.