1,721,074 research outputs found
A Transport Theory Development on the Theory of the Value
No full textThis work justifies and employs the techniques of Transport Theory for the deeper understanding of the economical problem arisen in the line first developed by Piero Sraffa in the framework of the theory of value and distribution. An integral equation is here proposed for making the model more suitable. This integral equation has been moreover solved both using the Liouville–Neumann series and the Separable Kernel approach. From the solutions obtained, it is possible to calculate the value as a function of the methods of production, the wage, and the rate of profits and to discuss the question of the value of the commodities and the proportions of labor to means of productions. © 2016 Taylor & Francis Group, LLC
A kinetic theory approach to the dispersion relation of water waves
No full textStarting from the integral form of Boltzmann's equation a study is conducted of the propagation of waves in water. Some reasonable approximations are made, including the BGK approximation, and a dispersion relation is found
Diffusion near an interface via Onsager-type equations
No full textOnsager-type transport equations, as were derived in a previous paper by the authors, are applied to the diffusion of test particles near the interface of a scattering medium with a perfect absorber. Temperature and density profiles are obtained for different types of scattering cross-section
Convective circulation and heat flux in a gas
No full textIn a previous paper1, a model had been developed to calculate temperature and density profiles and the fluxes of heat and matter with Onsager-type transport equations. The method is now applied to a 2-dimensional, cylindrically symmetric configuration: a gas between two parallel, circular plates. Such a configuration will exhibit Benard convecting: circulation patterns are obtained, together with temperature and density p-y distributions and the flow of energy. © 1995, Taylor & Francis Group, LLC. All rights reserved
On the Occurrence of Gibbs Paradox
No full textThis work focuses on the conceptual problem of the intermixing of two samples of the same ideal gas under identical conditions (p,V,T) giving rise to the riddle known as Gibbs paradox. Starting from the very general entropy definition of the kinetic theory, for clearly focusing the question, we found that a careful analysis both from the points of view of classical kinetic theory and thermodynamics (considering also the proper constraints) drives once more to the conclusion that they are in mutual agreement and that, actually, the paradox does not subsist. Considering also the approach of Statistical Mechanics, it is easy to conclude that it also is formally coherent with the more straightforward solution provided by kinetic theory
Heat flux and temperature and density profiles in a gas
No full textStarting from Boltzmann's equation, a method is developed for calculating temperature and density profiles and heat flux in a neutral gas in the presence of a temperature gradient and an external force. A generalized barometric law is obtained. The influence of different cross-section models is also investigated. © 1988 Società Italiana di Fisica
Time-dependent Onsager equations and perturbation propagation
No full textThe diffusion of perturbations is investigated, beginning with Onsager-type equations for particle current and energy flow and conservation equations. This method takes into consideration the interplay of density and temperature, and the phenomena produced by this interplay - often neglected with other approaches - are fully accounted for. Time evolution of density and temperature profiles are presented. The speed of propagation of perturbation is calculated. © 2002 Elsevier Science B.V. All rights reserved
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