Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Theo F. Nonnenmacher"'
'Fractals in Biology and Medicine'explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to
Autor:
Theo F. Nonnenmacher, Ralf Metzler
Publikováno v:
International Journal of Plasticity. 19:941-959
Following the modelling of Zener, we establish a connection between the fractional Fokker-Planck equation and the anomalous relaxation dynamics of a class of viscoelastic materials which exhibit scale-free memory. On the basis of fractional relaxatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37d1605d4543abf000498f92fe405959
https://doi.org/10.1016/s0749-6419(02)00087-6
https://doi.org/10.1016/s0749-6419(02)00087-6
Autor:
Theo F. Nonnenmacher, Bruce J. West
Publikováno v:
Physics Letters A. 278:255-259
An ant in a gurge is used as a metaphor for anomalous transport and wave propagation, that is, diffusion and wave propagation in disordered but scaling physical systems. The evolution of such complex phenomena can not be described by traditional part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d626e4d6cdb5a8260bcc7ab4b0c165b3
https://doi.org/10.1016/s0375-9601(00)00781-7
https://doi.org/10.1016/s0375-9601(00)00781-7
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 50:404-422
In this paper the nonlinear integro-partial differential Boltzmann equation, governing the 3-D spatially inhomogeneous time-dependent distribution function \( f (\bar{x}, \bar{v},t)\) of certain test particles, diffusing from a localized source into
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::801d0e4c8066fe3d12d168d79be0cdf3
https://doi.org/10.1007/pl00001495
https://doi.org/10.1007/pl00001495
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on'Fractals 2000 in Biology and Medicine'. This interdisciplinary conference was held over a four-day period
Autor:
Theo F. Nonnenmacher, Ralf Metzler
Publikováno v:
Physical Review E. 57:6409-6414
We discuss a generalized diffusion equation resulting from an additive two-state process, in combination with an asymptotically fractal (asymptotic power-law) waiting-time distribution. The obtained equation is an extension to previously discussed fr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0b096f0668647def2daac025ed3c73a1
https://doi.org/10.1103/physreve.57.6409
https://doi.org/10.1103/physreve.57.6409
Publikováno v:
Journal of Physics A: Mathematical and General. 31:3839-3847
Extending the idea of Rigaut's asymptotic fractals issuing a turnover from a constant to a power-law behaviour towards smaller scales, we extend this idea to asymptotic fractals with both lower and upper turnover points, i.e. the fractal region is te
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02fa914e7dd32cd73cefae5397f6ffa3
https://doi.org/10.1088/0305-4470/31/16/012
https://doi.org/10.1088/0305-4470/31/16/012
Publikováno v:
Physical Review E. 57:1668-1672
Another question comes from the approximate character of the Grad equations, and is discussed in frames of the EIT: while the Grad equations are strictly hyperbolic at any level N ~i.e., predicting a finite speed of propagation!, will this feature wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::963752a8fbff7ff577fd1774ac6ff19d
https://doi.org/10.1103/physreve.57.1668
https://doi.org/10.1103/physreve.57.1668
Publikováno v:
Fractals. :597-601
The dynamics of a free-falling body in complex materials such as a polymer fluid is phenomenologically modeled using a fractional generalization of the Riccati equation. The solution exhibits a rich behavior in its parametric dependence, and unlike n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02767435b77bacd91f4f0e5385f9c7e2
https://doi.org/10.1142/s0218348x97000474
https://doi.org/10.1142/s0218348x97000474
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 239:493-508
A generalization of the previously introduced dissipative bracket formulation of dissipative kinetic equations is performed. This generalization offers an opportunity to write model equations in concordance with the entropy requirements in situations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a3350af9a5f85d39bc3b1853ebfbd9d2
https://doi.org/10.1016/s0378-4371(97)00015-0
https://doi.org/10.1016/s0378-4371(97)00015-0