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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.
Basic tools of econophysics are probabilistic and statistical methods often taken from statistical physics.. Physics models that have been applied in economics include the kinetic theory of gas (called the kinetic exchange models of markets [7]), percolation models, chaotic models developed to study cardiac arrest, and models with self-organizing criticality as well as other models developed ...
Kinetic theory may refer to: Kinetic theory of matter: A general account of the properties of matter, including solids liquids and gases, based around the idea that heat or temperature is a manifestation of atoms and molecules in constant agitation. Kinetic theory of gases, an account of gas properties in terms of motion and interaction of ...
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 showing ...
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 ...
Kinetic exchange models are multi-agent dynamic models inspired by the statistical physics of energy distribution, which try to explain the robust and universal features of income/wealth distributions. Understanding the distributions of income and wealth in an economy has been a classic problem in economics for more than a
In essence, Einstein showed that the motion can be predicted directly from the kinetic model of thermal equilibrium. The importance of the theory lay in the fact that it confirmed the kinetic theory's account of the second law of thermodynamics as being an essentially statistical law. [20]