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Proceedings of the 4rd Japan-Central Europe Joint Workshop on Energy and Information in Non-linear Systems
Gottvald, Aleš
The proceedings contain texts of 4th Japan-Central Europe Join Workshop on Energy and Information in Non-Linear Systems held in November 10-12, 200 in Brno, Czech Repiblic (one plenary lecture on mathematical modelling of induction heating of thin nonmagnetic slabs by means of Fredholm's integral equation, four sessions held on the topics of inverse problems and information physics, non-destructive evaluation of materials and structures, superconductivity and material science and combustion and fluid dynamics).
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Planck's Law and the Rise of Information Physics
Gottvald, Aleš
A centennial history of celebrated Planck's radiation formula is briefly discussed from an information-theoretic perspective. A new rationale, based on Maximum Entropy Principle (MaxEnt), is suggested for the Planck formula. The MaxEnt-approach is intrinsically silent about famous quantum hypothesis, which is neiter required nor forbidden in this formalism. Some common historical myths and conceptual inconsistencies behind the Planck law are indicated, too.
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Beyond the MaxEnt Principle: Bayes, Fourier, Zipf and Spirals in Metamorphoses
Gottvald, Aleš
A radical solution is offered to clarify an obscure relationship between the Maximum Entropy Principle (MaxEnt) and Bayesian Probability Theory (BPT). The logical consistency of MaxEnt and BPT is guaranteed by definition in our theory. Close links between the MaxEnt and Fourier Transform are emphasized. Reproducibility is being recognized as the fundamental precondition of the MaxEnt-formalism. Consequently, it is proposed that the MaxEnt principle manifests itself in terms of Spiral Geometries, Zipf's law, Power laws, Fractals, and many other ubiquitous reproducible phenomena.
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Small Superconducting Magnet for Low Temperature Nuclear Orientation
Dupák, Jan ; Rotter, M. ; Srnka, Aleš
A new low temperature nuclear orientation facility was installed in the Faculty of Mathematics and Physics at Charles University in Prague. The facility is based on the small dilution refrigerator 3He-Ne of the "French" type and principally used for solid state physics research. The refrigerator allows to cool the radioactive samples down to 10 mK in the magnetic field of superconducting solenoid up to 4 T. The gammaray anisotropy is observed exclusively in the direction of the applied vertical magnetic field which is mostly suffiecient for the solid state study.
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