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Results 1 - 10
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1,059
Power-law Distributions in the Kauffman Net
, 1995
"... Kauffman net is a dynamical system of logical variables receiving two random inputs and each randomly assigned a boolean function. We show that the attractor and transient lengths exhibit scaleless behavior with power-law distributions over up to ten orders of magnitude. Our results provide evidence ..."
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evidence for the existence of the ”edge of chaos ” as a distinct phase between the ordered and chaotic regimes analogous to a critical point in statistical mechanics. The power-law distributions are robust to the changes in the composition of the transition rules and network dynamics.
A: Physicochemical and Engineering Aspects 140 (1998) 269–278 A phenomenological approach to relaxation in disordered systems
, 1997
"... We propose a phenomenological approach to relaxation in disordered systems which is modelled after the well-known percolation behaviour. The approach shows an interesting behaviour of the time correlation function of relevant variables which is characterized by three temporal regimes, an initial exp ..."
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exponential decay, a power-law regime and a stretched exponential decay for long times. We give some relevant examples of this behaviour in a wide variety of systems such as gels, microemulsions and glasses. © 1998 Elsevier Science B.V. All rights reserved.
Keywords: Non-newtonian flow Power-law fluid
, 2011
"... Axisymmetric In this article we present an analytical method for deriving the relationship between the pressure drop and flow rate in laminar flow regimes, and apply it to the flow of power-law fluids through axially-symmetric corrugated tubes. Themethod, which is general with regard to fluid and tu ..."
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Axisymmetric In this article we present an analytical method for deriving the relationship between the pressure drop and flow rate in laminar flow regimes, and apply it to the flow of power-law fluids through axially-symmetric corrugated tubes. Themethod, which is general with regard to fluid
Self-organised learning in the . . .
, 2009
"... A review of the Chialvo-Bak model is presented, for the two-layer neural network topology. A novel Markov Chain representation is proposed that yields several important analytical quantities and supports a learning convergence argument. The power law regime is re-examined under this new representati ..."
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A review of the Chialvo-Bak model is presented, for the two-layer neural network topology. A novel Markov Chain representation is proposed that yields several important analytical quantities and supports a learning convergence argument. The power law regime is re-examined under this new
Quantum percolation in power-law diluted chains
, 2001
"... We investigate the quantum percolation problem in a diluted chain with long-range hopping amplitudes. Each bond is activated with probability p(r) = p1/rα, where r is the distance between two sites and α characterizes the range of the interactions. The average participation ratio of all eigenstates ..."
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eigenstates is used as a measure of the wave-functions localization length. We found that, above a quantum percolation threshold p (q) 1, true extended states appears for α < 1.5. In the regime of 1.5 < α < 2.0 there is no trully extended states even in the presence of a spanning cluster. Instead, a
Topology of evolving networks: local events and universality
- Physical Review Letters
"... Networks grow and evolve by local events, such as the addition of new nodes and links, or rewiring of links from one node to another. We show that depending on the frequency of these processes two topologically different networks can emerge, the connectivity distribution following either a generaliz ..."
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Cited by 251 (2 self)
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generalized power-law or an exponential. We propose a continuum theory that predicts these two regimes as well as the scaling function and the exponents, in good agreement with the numerical results. Finally, we use the obtained predictions to fit the connectivity distribution of the network describing
Refraction of power-law spatial solitons -the Helmholtz-Snell law
"... Abstract: The behaviour of a scalar optical beam at the boundary between two dissimilar Kerr media is of fundamental interest in nonlinear photonics. After all, single-interface geometry is a key "building block" configuration that facilitates more sophisticated device designs and archite ..."
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Helmholtz model of Kerr spatial soliton refraction that is valid across the entire range of incidence, reflection and refraction angles. In this presentation, we report the first systematic generalization of these analyses to a wider class of power-law materials. Universal refraction laws will be given
THE EUROPEAN PHYSICAL JOURNAL B Optimization of robustness of complex networks
, 2004
"... Abstract. Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random failure and intentional attack while keeping the cos ..."
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the cost of the network (which we take to be the average number of links per node) constant. We find optimal parameters for: (i) scale free networks having degree distributions with a single power-law regime, (ii) networks having degree distributions with two power-law regimes, and (iii) networks described
12 PERSONAL AUTHOR(S)
, 1986
"... Subgrain size, Dislocation density '9\Vý85t\ACT (Continue on roverse if necessary and idenotiy by block number) 2'tiis thesis reports trends in the variation of the subgrain size and density of dislocations not associated with subgrain boundaries (forest dislocations) in high purity alumin ..."
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aluminum with strain during primary and steady-state creep at temperatures in the power-law regime utilizing torsional deformation. Any microstructural feature responsible for strength is expected to be constant during steady-state deformation. Earlier work addressed changes in the subgrain size over a
Chaotic and power law states in the PortevinLe Chatelier effect
- Europhysics Letters
, 2002
"... Abstract. – Recent studies on the Portevin- Le Chatelier effect report an intriguing crossover phenomenon from a low dimensional chaotic to an infinite dimensional scale invariant power law regime in experiments on CuAl single crystals and AlMg polycrystals, as a function of strain rate. We devise a ..."
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Cited by 6 (1 self)
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Abstract. – Recent studies on the Portevin- Le Chatelier effect report an intriguing crossover phenomenon from a low dimensional chaotic to an infinite dimensional scale invariant power law regime in experiments on CuAl single crystals and AlMg polycrystals, as a function of strain rate. We devise
Results 1 - 10
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1,059
