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16 papers · 1 filter
Numerical Simulation of the Perrin - like Experiments
Zygmunt Mazur, Dariusz Grech
A simple model of random Brownian walk of a spherical mesoscopic particle in viscous liquids is proposed. The model can be both solved analytically and simulated numerically. The a…
Spectral gap for stable process on convex planar double symmetric domains
Bartlomiej Dyda, Tadeusz Kulczycki
We study the semigroup of the symmetric -stable process in bounded domains in . We obtain a variational formula for the spectral gap, i.e. the difference between two first…
Integral and fractional Quantum Hall Ising ferromagnets
K. Vyborny, O. Certik, D. Pfannkuche +3
We compare quantum Hall systems at filling factor 2 to those at filling factors 2/3 and 2/5, corresponding to the exact filling of two lowest electron or composite fermion (CF) Lan…
Landau level mixing in the nu=5/2 fractional quantum Hall state
Arkadiusz Wojs, John J. Quinn
The nu=5/2 fractional quantum Hall state is studied numerically, directly including the effects of electron scattering between neighboring Landau levels. Significant reduction of t…
Effect of free carriers and impurities on density of states and optical spectra of two-dimensional magneto-excitons
Anna Gladysiewicz, Leszek Bryja, Arkadiusz Wojs +1
Density of states (DOS) and absorption spectrum of weakly doped, narrow quantum wells in high magnetic fields are calculated by realistic exact diagonalization. The systems contain…
Cognitive ability experiment with photosensitive organic molecular thin films
Regis Barille, Sohrab Ahmadi-Kandjani, Ewelina Ortyl +2
We present an optical experiment which permits to evaluate the information exchange necessary to self-induce cooperatively a well-organized pattern in a randomly activated molecula…