Abstract: The correlation function of a one-dimensional interface over a random substrate, bound to the substrate by a pressure term, is studied by Monte-Carlo simulation. It is found that the height correlation 〈hi; hi+j〉, averaged over the substrate disorder, fits a form ae −(j/b) to a surprising precision in the full range of j where the correlation is non-negligible. The exponent c increase...

The exact renormalization group is applied to a nonlinear diffusion equation with a discontinuous diffusion coefficient. The generating functional of the solution for the initial-value problem of nonlinear diffusion equations is first introduced, and next a regularization scheme is presented. It is shown that the renormalization of an action functional in the generating functional leads to an a...

The back propagation algorithm has been modi ed to work without any multiplications and to tolerate computations with a low resolution, which makes it more attractive for a hardware implementation. Numbers are represented in oating-point format with 1 bit mantissa and 2 bits in the exponent for the states, and 1 bit mantissa and 4 bit exponent for the gradients, while the weights are 16 bit xed...

Understanding natural climate variability is essential for assessments of climate change. This is reflected in the scaling properties of climate records. The scaling exponents of the interglacial and the glacial climates are fundamentally different. The Holocene record is monofractal, with a scaling exponent H∼0.7. On the contrary, the glacial record is multifractal, with a significantly higher...

a watershed management program is usually based on the results of watershed modeling. accurate modeling results are decided by the appropriate parameters and input data. precipitation is the most important input for watershed modeling. precipitation characteristics usually exhibit significant spatial variation, even within small watersheds. therefore, properly describing the spatial variation o...

We demonstrate that for symmetric dynamical systems with an invariant subspace in which there is a chaotic attractor, synchronism between the transverse subsystem and its replica can be achieved in wide parameter regimes. The synchronism occurs in situations where the interaction between the invariant subsystem and the transverse subsystem can be either unidirectional or bidirectional, and the ...

Synchronization in a lattice of a finite population of phase oscillators with algebraically decaying, non-normalized coupling is studied by numerical simulations. A critical level of decay is found, below which full locking takes place if the population contains a sufficiently large number of elements. For large number of oscillators and small coupling constant, numerical simulations and analyt...

It is shown that, contrary to recent suggestions, the exponent ν, characterizing self-avoiding walks in a diluted lattice at the percolation threshold is determined by a fixed point, different from the pure-lattice one. The full phase diagram of this system is obtained by a real-space renormalization-group treatment and five nontrivial fixed points are identified. A field-theoretical treatment ...

We describe how local mixing transforms a convectively unstable active field in an open flow into absolutely unstable. Presenting the mixing region as one with a locally enhanced effective diffusion allows us to find the linear transition point to an unstable global mode analytically. We derive the critical exponent that characterizes weakly nonlinear regimes beyond the instability threshold an...

A full period single cycle linear congruential generator f(x) 5 n x + C is using as an invertible mapping for both fixed and cryptovariable-dependent data substitution. Exponent n can be any natural number. If n = 1 then the generator can be implemented with LEA instruction in just a single CPU cycle on Intel Pentium and above. The recommended n for Zcipher is 13; it gives a maximal 5 n value l...