Search results
Results from the WOW.Com Content Network
The kinetic theory of gases is a simple classical model of the thermodynamic behavior ... In this same work he introduced the concept of mean free path of a particle. ...
James Clerk Maxwell introduced this approximation in 1867 [3] although its origins can be traced back to his first work on the kinetic theory in 1860. [ 4 ] [ 5 ] The assumption of molecular chaos is the key ingredient that allows proceeding from the BBGKY hierarchy to Boltzmann's equation , by reducing the 2-particle distribution function ...
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
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 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 general equation can then be written as [6] = + + (),. where the "force" term corresponds to the forces exerted on the particles by an external influence (not by the particles themselves), the "diff" term represents the diffusion of particles, and "coll" is the collision term – accounting for the forces acting between particles in collisions.
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 ...
A kinetic description is achieved by solving the Boltzmann equation or, when the correct description of long-range Coulomb interaction is necessary, by the Vlasov equation which contains self-consistent collective electromagnetic field, or by the Fokker–Planck equation, in which approximations have been used to derive manageable collision terms.