Variational formula for the relaxation time in the Boltzmann equation

Article Abstract:

A variational principle for solutions to the Boltzmann equation is derived, which allows to extend the standard relaxation time approximation (RTA) using relaxation times that depend on the initial distribution. Tests of the approach on a calculation of the mobility for a one-dimensional (ID) tight-binding band indicate that analysis typically provides a better approximation than the standard RTA.

Transport theory, Relaxation phenomena, Relaxation (Physics)

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Analytical considerations in the study of spatial patterns arising from nonlocal interaction

Article Abstract:

The way in which the stability arguments yield a necessary condition for pattern formation involving the ratio of the pattern wavelength and the effective diffusion length of the individual constituents are shown. It is also remarked that the mode coupling analysis may be developed that might be useful in shedding some light on the amplitude of the patterns.

Optics, Wavelength, Optical research

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Memory formalism for quantum control of dynamic localization

Article Abstract:

The exact derivation of a useful evolution equation is described and aimed at an understanding of the interesting structures seen in small quantum systems under typical driving fields.

Research, Quantum theory, Quantum mechanics, Chemistry, Physical and theoretical, Physical chemistry, Amorphous substances, Amorphous materials

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