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Physica E Low-dimensional Systems and Nanostructures

Do periodic chemical reactions reveal Fürth's quantum diffusion limit?

Jiřı́ J. Mareš, Jaroslav S̈esták, Jiřı́ Stávek, Hana Ševčı́ková, Jozef Kristofik, Pavel Hubı́k

Published Jul 2, 2005• 9 citations
Publisher
DOI
10.1016/j.physe.2005.05.012

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It is a remarkable empirical fact, known for a long time, that in certain self-organized periodic chemical reactions, such as Liesegang's or Belousov-Zhabotinsky's reactions, the product of molecular weight of precipitate, precipitation length period, and speed of precipitation is of the order of universal Planck's quantum of action h. Based on the fact that the classical and quantum diffusions are processes, which are indistinguishable in the configuration space, a quantum criterion in terms of diffusion constants has been established. This criterion enables one to find out conditions under which the quantum behavior of self-organized periodic reactions can be observed.