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  • Distribution functions are used for the description of energy distribution of elementary particles, atoms, and molecules in dynamic systems. These distribution functions depend on the energy of the system and on its properties. The paper focuses on the generalization of the relationships commonly used to study the statistical properties of particles in 3D space so that they become generally applicable onto an E-dimensional space. These relationships can then be applied e.g. for studying the properties of the particles in 2D and in 1D space. Two approaches are discussed to describe the classic (Maxwell Boltzmann) and quantum (Fermi-Dirac, Einstein-Bose) distribution functions. The first approach is based on standard theory of probability, the second one on the fractal theory. We have shown that both approaches lead to the same results for defined boundary conditions. But the validity of the second one, i.e. the fractal approach, is much more general.
  • Distribution functions are used for the description of energy distribution of elementary particles, atoms, and molecules in dynamic systems. These distribution functions depend on the energy of the system and on its properties. The paper focuses on the generalization of the relationships commonly used to study the statistical properties of particles in 3D space so that they become generally applicable onto an E-dimensional space. These relationships can then be applied e.g. for studying the properties of the particles in 2D and in 1D space. Two approaches are discussed to describe the classic (Maxwell Boltzmann) and quantum (Fermi-Dirac, Einstein-Bose) distribution functions. The first approach is based on standard theory of probability, the second one on the fractal theory. We have shown that both approaches lead to the same results for defined boundary conditions. But the validity of the second one, i.e. the fractal approach, is much more general. (en)
Title
  • Statistics of fractal systems
  • Statistics of fractal systems (en)
skos:prefLabel
  • Statistics of fractal systems
  • Statistics of fractal systems (en)
skos:notation
  • RIV/00216305:26310/14:PU110793!RIV15-TA0-26310___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(TA03010548)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 47376
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26310/14:PU110793
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • fractal physics, classic and quantum statistics, classical theory of statistics, fractal theory of statistics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [2466701E85B0]
http://linked.open...i/riv/nazevZdroje
  • Advances in Intelligent Systems and Computing
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 289
http://linked.open...iv/tvurceVysledku
  • Dzik, Petr
  • Nešpůrek, Stanislav
  • Veselý, Michal
  • Zmeškal, Oldřich
issn
  • 2194-5357
number of pages
http://localhost/t...ganizacniJednotka
  • 26310
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