Publication result detail

Energy and Entropy of Fractal Objects: Application to Gravitational Field

ZMEŠKAL, O.; VESELÝ, M.; DZIK, P.; VALA, M.

Original Title

Energy and Entropy of Fractal Objects: Application to Gravitational Field

English Title

Energy and Entropy of Fractal Objects: Application to Gravitational Field

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

Various different approaches to the definition of entropy and their connections with fractal dimensions of systems were described in the paper Entropy of Fractal Systems presented at the conference Nostaradamus 2012. In the second part of the paper, the described findings were applied to study the fractal properties of image structures. Further development is going to be presented in this paper. Conclusions of general fractal theory will be applied to the general fractal systems represented by elements (elementary particles) having fractal structure. An typical example may include the space and time distribution of mass and electric charge, i.e. the general energy. The properties of fractal fields of these quantities (gravitational, electric or other field) can be described by means of fractal geometry generally at Edimensional space, where E = 0, 1, 2, 3, ... The density of energy and entropy of these fractal elements will be also determined from the distribution of their quantity, field intensity and potential.

English abstract

Various different approaches to the definition of entropy and their connections with fractal dimensions of systems were described in the paper Entropy of Fractal Systems presented at the conference Nostaradamus 2012. In the second part of the paper, the described findings were applied to study the fractal properties of image structures. Further development is going to be presented in this paper. Conclusions of general fractal theory will be applied to the general fractal systems represented by elements (elementary particles) having fractal structure. An typical example may include the space and time distribution of mass and electric charge, i.e. the general energy. The properties of fractal fields of these quantities (gravitational, electric or other field) can be described by means of fractal geometry generally at Edimensional space, where E = 0, 1, 2, 3, ... The density of energy and entropy of these fractal elements will be also determined from the distribution of their quantity, field intensity and potential.

Keywords

entropy of fractal systems, energy of fractal systems, fractal dimension, fractal measure, gravitational field

Key words in English

entropy of fractal systems, energy of fractal systems, fractal dimension, fractal measure, gravitational field

Authors

ZMEŠKAL, O.; VESELÝ, M.; DZIK, P.; VALA, M.

RIV year

2014

Released

03.06.2013

Publisher

Springer

Location

Schwitzerland

ISBN

2194-5357

Periodical

Advances in Intelligent Systems and Computing

Volume

210

Number

1

State

Swiss Confederation

Pages from

455

Pages to

465

Pages count

11

BibTex

@article{BUT100242,
  author="Oldřich {Zmeškal} and Michal {Veselý} and Petr {Dzik} and Martin {Vala}",
  title="Energy and Entropy of Fractal Objects: Application to Gravitational Field",
  journal="Advances in Intelligent Systems and Computing",
  year="2013",
  volume="210",
  number="1",
  pages="455--465",
  doi="10.1007/978-3-319-00542-3\{_}45",
  issn="2194-5357"
}