The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

The heart of the crustaceans has its own pacemaker neurons inside the heart, which are composed of 9 neurons. The neurons receive innervations of only three kinds of axons originated from the central nervous system; one pair of inhibitory and two pairs of acceleratory axons. Thus, in terms of the neural cardiac control from higher center, this system may have much more simplistic operation comp...

The heart of the crustaceans has its own pacemaker neurons inside the heart, which are composed of 9 neurons. The neurons receive innervations of only three kinds of axons originated from the central nervous system; one pair of inhibitory and two pairs of acceleratory axons. Thus, in terms of the neural cardiac control from higher center, this system may have much more simplistic operation comp...

the coherent anomaly method and a cluster mean-field approach combined with finite-sizescaling extrapolation were used to determine the critical temperature and the critical exponents of as =1 ising chain with a long-range interaction in the form of 1/ r1+σ . the results of criticaltemperature are in good agreement with the recent results of the finite-range scaling method and aremore accurate ...

Several theories predict whole-tree function on the basis of allometric scaling relationships assumed to emerge from traits of branching networks. To test this key assumption, and more generally, to explore patterns of external architecture within and across trees, we measure branch traits (radii/lengths) and calculate scaling exponents from five functionally divergent species. Consistent with ...

We present generic scaling laws relating spreading critical exponents and avalanche exponents (in the sense of self-organized criticality) in general systems with absorbing states. Using these scaling laws we present a collection of the state-of-the-art exponents for directed percolation, dynamical percolation, and other universality classes. This collection of results should help to elucidate ...

In a helical flow there is a subrange of the inertial range in which there is a cascade of both energy and helicity. In this range the scaling exponents associated with the cascade of helicity can be defined. These scaling exponents are calculated from a simulation of the GOY shell model. The scaling exponents for even moments are associated with the scaling of the symmetric part of the probabi...

Renormalization group has become a standard tool for describing universal properties of different routes to chaos – period-doubling in unimodal maps, quasiperiodic transitions in circle maps, dynamics on the boundaries of Siegel disks, destruction of invariant circles of area-preserving twist maps, and others. The universal scaling exponents for each route are related to the properties of the c...