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The kinetic theory of gases deals not only with gases in thermodynamic equilibrium, but also very importantly with gases not in thermodynamic equilibrium. This means using Kinetic Theory to consider what are known as "transport properties", such as viscosity, thermal conductivity, mass diffusivity and thermal diffusion.
In other words, the configuration of particle A in state 1 and particle B in state 2 is different from the case in which particle B is in state 1 and particle A is in state 2. This assumption leads to the proper (Boltzmann) statistics of particles in the energy states, but yields non-physical results for the entropy, as embodied in the Gibbs ...
The equation is a nonlinear integro-differential equation, and the unknown function in the equation is a probability density function in six-dimensional space of a particle position and momentum. The problem of existence and uniqueness of solutions is still not fully resolved, but some recent results are quite promising. [3] [4]
The Maxwell–Boltzmann distribution is a result of the kinetic theory of gases, which provides a simplified explanation of many fundamental gaseous properties, including pressure and diffusion. [3] The Maxwell–Boltzmann distribution applies fundamentally to particle velocities in three dimensions, but turns out to depend only on the speed ...
The Relation of Wave and particle viewpoints; The kinetic theory of gases; The principles of statistical mechanics; The Brownian movement; Applications of kinetic theory; Diffusion; The laws of thermodynamics; Illustrations of thermodynamics; Ratchet and pawl; Sound. The wave equation; Beats; Modes; Harmonics; Waves; Symmetry in physical laws
First, Vlasov argues that the standard kinetic approach based on the Boltzmann equation has difficulties when applied to a description of the plasma with long-range Coulomb interaction. He mentions the following problems arising when applying the kinetic theory based on pair collisions to plasma dynamics:
Truncation of the BBGKY chain is a common starting point for many applications of kinetic theory that can be used for derivation of classical [2] [3] or quantum [4] kinetic equations. In particular, truncation at the first equation or the first two equations can be used to derive classical and quantum Boltzmann equations and the first order ...
From the kinetic theory of gases, [20] thermal conductivity of principal carrier i (p, e, f and ph) is =,, where n i is the carrier density and the heat capacity is per carrier, u i is the carrier speed and λ i is the mean free path (distance traveled by carrier before an scattering event). Thus, the larger the carrier density, heat capacity ...