Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Yadav, Avinash Chand"'
We study the Bak-Sneppen evolution model on a regular hypercubic lattice in high dimensions. Recent work [Phys. Rev. E 108, 044109 (2023)] has shown the emergence of the $1/f^{\alpha}$ noise for the ``fitness'' observable with $\alpha \approx 1.2$ in
Externí odkaz:
http://arxiv.org/abs/2405.15255
We consider the Robin Hood dynamics, a one-dimensional extremal self-organized critical model that describes the evolution of low-temperature creep. One of the key quantities is the time evolution of the state variable (force noise). To understand th
Externí odkaz:
http://arxiv.org/abs/2405.00443
Autor:
Chhimpa, Rahul, Yadav, Avinash Chand
We consider discrete models of kinetic rough interfaces that exhibit space-time scale-invariance in height-height correlation. A generic scaling theory implies that the dynamical structure factor of the height profile can uniquely characterize the un
Externí odkaz:
http://arxiv.org/abs/2310.03322
We study the one-dimensional Bak-Sneppen model for the evolution of species in an ecosystem. Of particular interest are the temporal fluctuations in the fitness variables. We numerically compute the power spectral density and apply the finite-size sc
Externí odkaz:
http://arxiv.org/abs/2306.08895
We consider a neuronal levels model that exhibits critical avalanches satisfying power-law distribution. The model has recently explained a change in the scaling exponent from 3/2 to 5/4, accounting for a change in the drive condition from no input t
Externí odkaz:
http://arxiv.org/abs/2209.01879
We consider the Zhang sandpile model in one-dimension (1D) with locally conservative (or dissipative) dynamics and examine its total energy fluctuations at the external drive time scale. The bulk-driven system leads to Lorentzian spectra, with a cuto
Externí odkaz:
http://arxiv.org/abs/2204.10992
We examine probability distribution for avalanche sizes observed in self-organized critical systems. While a power-law distribution with a cutoff because of finite system size is typical behavior, a systematic investigation reveals that it may decrea
Externí odkaz:
http://arxiv.org/abs/2203.14004
The hypothesis of self-organized criticality explains the existence of long-range `space-time' correlations, observed inseparably in many natural dynamical systems. A simple link between these correlations is yet unclear, particularly in fluctuations
Externí odkaz:
http://arxiv.org/abs/2107.04840
Autor:
Yadav, Avinash Chand, Kumar, Naveen
We show that in a broad class of processes that show a $1/f^{\alpha}$ spectrum, the power also explicitly depends on the characteristic time scale. Despite an enormous amount of work, this generic behavior remains so far overlooked and poorly underst
Externí odkaz:
http://arxiv.org/abs/2103.11608
Autor:
Yadav, Avinash Chand
We consider a class of real numbers, a subset of irrational numbers and certain mathematical constants, for which the elements in the simple continued fraction appears to be random. As an illustrative example, one can consider $\pi = \{x_0, x_1, x_2,
Externí odkaz:
http://arxiv.org/abs/1907.04721