Glassy, Amorphous and Nano-Crystalline Materials: Thermal Physics, Analysis, Structure and Properties

0359651 - FZÚ 2012 RIV NL eng M - Monography Chapter
Mareš, Jiří J. - Šesták, J. - Hubík, Pavel
Transport constitutive relations, quantum diffusion and periodic reactions.
Glassy, Amorphous and Nano-Crystalline Materials: Thermal Physics, Analysis, Structure and Properties. Dodrecht: Springer, 2011 - (Šesták, J.; Mareš, J.; Hubík, P.), s. 227-244. ISBN 978-90-481-2881-5
Institutional research plan: CEZ:AV0Z10100521
Keywords : phenomenological transport equations * classical and quantum diffusion * Brownian motion * periodic reactions
Subject RIV: BM - Solid Matter Physics ; Magnetism

The systematic comparison of physical interpretations of transport constitutive relations belonging to the same class of differential equations, namely, Fourier’s law, Darcy’s law, Ohm’s law and Fick’s law is given. Besides well known properties, a generalized form of Ohm’s law is newly discussed and congruence of equations describing Brownian and quantum motion is shown. This last fact is, among others, used for the explanation of enigmatic quantum-like behaviour of diffusion-controlled periodic reactions.
Permanent Link: http://hdl.handle.net/11104/0197396