Critical state stability and training phenomenon

Critical Phenomenon of a Consistent q - Deformed Squeezed State

Within a self-consistent framework of q-deformed Heisenberg algebra and its equivalent framework of q-deformed boson commutation relations, which relate to the undercutting phenomenon of Heisenberg's minimal uncertainty relation, special q-deformed squeezed states are constructed. Besides the similar local maximum squeezing as the one in the undeformed case, new strong squeezing appears when th...

Learning as a phenomenon occurring in a critical state.

Recent physiological measurements have provided clear evidence about scale-free avalanche brain activity and EEG spectra, feeding the classical enigma of how such a chaotic system can ever learn or respond in a controlled and reproducible way. Models for learning, like neural networks or perceptrons, have traditionally avoided strong fluctuations. Conversely, we propose that brain activity havi...

The critical state stability and oscillations in hard superconductors

The limited thermomagnetic instabilities in the critical state have been investigated in hard superconductors under an incomplete penetration of the magnetic flux into the sample and under different external cooling conditions. A flat plate is considered in an external magnetic field parallel to the plate surface. Conditions have been found under which it is possible to observe the electric fie...

Critical stability number in rock lined channels

Boiling crisis as a critical phenomenon.

We present the first experimental study of intermittency and avalanche distribution during a boiling crisis. To understand the emergence of power law statistics we propose a simple spin model capturing the measured critical exponent. The model suggests that behind the critical heat flux is a percolation phenomenon involving drying-rewetting competition close to the hot surface.