What is the significance of Boltzmann equation?
The Boltzmann equation can be used to determine how physical quantities change, such as heat energy and momentum, when a fluid is in transport.
What is the name given to the relation between the diffusion coefficient and the mobility of the carrier also derive that relation?
D is the diffusion coefficient; μ is the “mobility”, or the ratio of the particle’s terminal drift velocity to an applied force, μ = vd/F; r is the radius of the spherical particle. …
What does Einstein’s relationship mean?
The Einstein relations are important because they relate the diffusivity of a semiconductor to the mobility. Starting with the diffusion current . A similar argument can be shown to give the Einstein relation for holes in the valence band.
What is the Boltzmann theory?
In the 1870s Boltzmann published a series of papers in which he showed that the second law of thermodynamics, which concerns energy exchange, could be explained by applying the laws of mechanics and the theory of probability to the motions of the atoms.
What is Einstein diffusion equation?
Einstein has shown that the relation between molecular movement and diffusion in a liquid may be expressed by the following equation, when the particles move independently of each other:— D=͞Δ2/2t, (1) D being the diffusion constant and ͞Δ2 the mean square of the deviation in a given direction in time t.
What is Einstein’s relation in semiconductor physics?
The Einstein relation relates the diffusion coefficient to the mobility and is frequently used in semiconductor device analysis and design. A flux equation governing the behavior of mobile particles in semiconductor material is derived from the Boltzmann transport equation.
What does the M represent in Einstein’s equation E m * c 2?
An equation derived by the twentieth-century physicist Albert Einstein, in which E represents units of energy, m represents units of mass, and c2 is the speed of light squared, or multiplied by itself. (See relativity.)