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1.
Hideki Takayasu Misako Takayasu Astero Provata Greg Huber 《Journal of statistical physics》1991,65(3-4):725-745
We study a generalized aggregation process in which charged particles diffuse and coalesce randomly on a lattice. For one-dimensional and mean-field models, we show that there exists a statistically-invariant steady state when randomly charged particles are continuously injected. The steady-state charge distribution obeys a power law with the exponent depending both on the type of the injection and on the spatial dimension. The response of the system to a perturbation (i.e., relaxation) is characterized by either a power law decay (t
–
,1) or a compressed exponential decay [exp(–t
),>1]. 相似文献
2.
3.
N. Kouvaris A. Provata 《The European Physical Journal B - Condensed Matter and Complex Systems》2008,66(1):97-106
An ecosystem containing three interacting species is studied using both Mean Field approach and Kinetic Monte Carlo
simulations on a lattice substrate. The so called 3rd order LLV model involves birth, death and reaction
processes with 3rd order nonlinearities and feedbacks. At the mean field level this system exhibits conservative
oscillations; the analytic form of the constant of motion is presented. The stochastic simulations show that the
density oscillations disappear for sufficiently large lattices, while they are present locally, on small lattice
windows. Introduction of mixing via long range migration in the two reacting species changes this picture. For small
migration rates p, the behavior remains as with p = 0 and the system is divided into local asynchronous oscillators.
As p increases the system passes through a phase transition and exhibits a weak disorder limit cycle through a supercritical
Hopf-like bifurcation. The amplitude of the limit cycle depends on the rate p, on the range of migration
r and on the system kinetic rates k1, k2 and k3. 相似文献
4.
A microscopic model of warm clouds involving input of water droplets, dropletdroplet aggregation, droplet breakup, and precipitation is presented. Numerical simulations and analytical arguments indicate that after the stage of growth and just before precipitation sets in, a warm cloud is characterized by a droplet-size distribution which follows from an inverse power law as a function of the droplet size. When precipitation is taken into account, the above distribution is transformed into a distribution decaying exponentially with the droplet size, in agreement with field observations. It is suggested that the initiation of rainfall in a precipitating warm cloud can be viewed as an instability triggered by the presence of a power-law distribution. 相似文献
5.
We use q-exponential distributions, which maximize the nonextensive entropy Sq (defined as ), to study the size distributions of non-coding DNA (including introns and intergenic regions) in all human chromosomes. We show that the value of the exponent q describing the non-coding size distributions is similar for all chromosomes and varies between 2≤q≤2.3 with the exception of chromosomes X and Y. 相似文献
6.
N.D. Tsigkri-DeSmedt J. Hizanidis P. Hövel A. Provata 《The European physical journal. Special topics》2016,225(6-7):1149-1164
The effects of nonlocal and fractal connectivity are investigated in a network of Leaky Integrate-and-Fire (LIF) elements. The idea of fractal coupling originates from the hierarchical topology of networks formed by neuronal axons, which transmit the electrical signals in the brain. If a number of LIF elements with finite refractory period are nonlocally coupled, multi-chimera states emerge whose multiplicity depends both on the coupling strength and on the refractory period. We provide evidence that the introduction of a hierarchical topology in the coupling induces novel complex spatial and temporal structures, such as nested chimera states and transitions between multi-chimera states with different multiplicities. These results demonstrate new complex patterns, as well as transitions between different multi-chimera states arising from the combination of nonlinear dynamics with the hierarchical coupling. 相似文献
7.
P. Katsaloulis A. Ghosh A.C. Philippe A. Provata R. Deriche 《The European Physical Journal B - Condensed Matter and Complex Systems》2012,85(5):1-7
We report our results on the effect of incorporation of inorganic fullerene like nanoparticles (IF) and inorganic nanotubes (INT) of WS2 into hybrid LED device structures. To disperse into a uniform fashion, the semiconducting INT/IF WS2 NTs were functionalized with SDS (sodium dodecylsulphate). The IF/INT WS2 nanotubes were used in combination with PEDOT:PSS and P3HT to realize the following LED device structures: ITO/(PEDOT:PSS):(WS2:SDS)/P3HT/LiF-Al; ITO/PEDOT:PSS/P3HT/WS2:SDS/LiF-Al. Morphological, optical and electrochemical analysis were performed to obtain the HOMO and the LUMO energy levels to hypothesize the most efficient device structure. The spectral positions of the electroluminescent bands were found out to be device-dependent and exhibits blue shift when the proposed nanostructure is dip coated on top of P3HT. Electro-optical analysis indicate that the WS2:SDS based P3HT/semiconductor film can improve the charge recombination probability owing to its dual functionality as hole blocking layer and electron injection moiety. 相似文献
8.
G. A. Tsekouras A. Provata 《The European Physical Journal B - Condensed Matter and Complex Systems》2006,52(1):107-111
We examine the fractal patterns arising in the Lattice Limit Cycle model, when it
is restricted on square and fractal lattices.
We show that, for processes taking place on regular 2d substrates, the
fractal dimensions depend on the kinetic constants and we have observed
a sharp phase-transition from uniform 2d spatial distributions (df=2)
when the kinetic parameters are near the Hopf bifurcation point, to a
inside the limit cycle region.
For processes taking place on substrates which contain inactive sites,
we observe nucleation
of homologous species around inactive regions leading to poisoning,
when the active sites are distributed in a fractal manner on the substrate.
This is less frequent in cases where the active sites are distributed
uniformly and randomly on the lattice leading, normally,
to non-trivial steady states. 相似文献
9.
The multifractal spectra of 3d Diffusion Tensor Images (DTI) obtained by magnetic resonance imaging of the human brain are studied. They are shown to deviate substantially from artificial brain images with the same white matter intensity. All spectra, obtained from 12 healthy subjects, show common characteristics indicating non-trivial moments of the intensity. To model the spectra the dynamics of the chaotic Ikeda map are used. The DTI multifractal spectra for positive q are best approximated by 3d coupled Ikeda maps in the fully developed chaotic regime. The coupling constants are as small as α = 0.01. These results reflect not only the white tissue non-trivial architectural complexity in the human brain, but also demonstrate the presence and importance of coupling between neuron axons. The architectural complexity is also mirrored by the deviations in the negative q-spectra, where the rare events dominate. To obtain a good agreement in the DTI negative q-spectrum of the brain with the Ikeda dynamics, it is enough to slightly modify the most rare events of the coupled Ikeda distributions. The representation of Diffusion Tensor Images with coupled Ikeda maps is not unique: similar conclusions are drawn when other chaotic maps (Tent, Logistic or Henon maps) are employed in the modelling of the neuron axons network. 相似文献
10.
The oscillatory CO oxidation reaction on the restructuring surface of Pt(1 0 0) is studied through a mesoscopic kinetic Monte Carlo (KMC) approach. The present model is an extension of the standard ZGB model with specific attention to the emergence of oscillations in surface reactions. A square and a purely hexagonal lattice are used as substrates on which the CO oxidation reaction steps take place. The dynamics of the reaction on the two substrates exhibit the ZGB kinetic phase transitions, at different kinetic parameter values for each substrate. Surface reconstruction is modelled through switching between the two lattice types. Oscillations are produced in those parametric areas where the steady state concentrations on the two substrates are considerably different. The parametric area where notable oscillations are observed is narrow, but is greatly enhanced when different sticking coefficients of oxygen are taken into account. CO diffusion introduced microscopically to the model on the hexagonal lattice shifts the kinetic transition points and increases considerably the time needed to reach the steady state. 相似文献