27 citations · 103 across the 25 of their papers we have counts for
24 papers · 1 filter
Scaling features in the Olami-Feder-Christensen model
Naveen Kumar, Rahul Chhimpa, Avinash Chand Yadav
We consider the Olami-Feder-Christensen (OFC) model on a square lattice with open boundary conditions. The model exhibits self-organized criticality and explains the Gutenberg-Rich…
Stationary noise in discrete models of the Kardar-Parisi-Zhang class
Rahul Chhimpa, Avinash Chand Yadav
In discrete models describing growing rough interfaces of the Kardar-Parisi-Zhang universality class, we examine height fluctuations at a fixed site as a function of time in the mo…
noise in extremal dynamics
Rahul Chhimpa, Abha Singh, Avinash Chand Yadav
The Bak-Sneppen (BS) evolution model remains a well-studied example of self-organized criticality (SOC). We propose a simple variant of the BS model, where the global fitness fluct…
Avalanche activity noises in sandpile models
Rahul Chhimpa, Avinash Chand Yadav
We consider the Bak-Tang-Wiesenfeld (BTW) and the Manna sandpile models of self-organized criticality. In the models, previous studies revealed a signature of long-range temporal c…
Continuous sample space reducing stochastic process
Rahul Chhimpa, Avinash Chand Yadav\
We propose a simple model for sample space reducing (SSR) stochastic process, where the dynamical variable denoting the size of the state space is continuous. In general, one can v…
noise in the Ising model
Rahul Chhimpa, Avinash Chand Yadav
We simulate the -spin critical Ising model on a square lattice using Glauber dynamics and consider the typical one-unit time equal to single-spin-flip attempts. The divergen…
Correlation time in extremal self-organized critical models
Rahul Chhimpa, Abha Singh, Avinash Chand Yadav
We investigate correlation time numerically in extremal self-organized critical models, namely, the Bak-Sneppen evolution and the Robin Hood dynamics. The (fitness) correlation tim…
Scaling behavior in the number theoretic division model of self-organized criticality
Rahul Chhimpa, Avinash Chand Yadav
We revisit the number theoretic division model of self-organized criticality [Phys. Rev. Lett. 101, 158702 (2008)]. The model consists of a pool of ordered integers $\{2, 3,…
Fitness noise in the Bak-Sneppen evolution model in high dimensions
Rahul Chhimpa, Abha Singh, Avinash Chand Yadav
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 no…
noise in the Robin Hood model
Abha Singh, Rahul Chhimpa, Avinash Chand Yadav
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 th…
Finite-time scaling for kinetic rough interfaces
Rahul Chhimpa, Avinash Chand Yadav
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 s…
Fitness fluctuations in Bak-Sneppen model
Abha Singh, Rahul Chhimpa, Avinash Chand Yadav
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 numer…
Critical neuronal avalanches in levels model under noisy drive
Abdul Quadir, Haider Hasan Jafri, Avinash Chand Yadav
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…
Energy fluctuations in one dimensional Zhang sandpile model
Naveen Kumar, Suram Singh, Avinash Chand Yadav
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…
Finite-size scaling of critical avalanches
Avinash Chand Yadav, Abdul Quadir, Haider Hasan Jafri
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 t…
Linking space-time correlations for a class of self-organized critical systems
Naveen Kumar, Suram Singh, Avinash Chand Yadav
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 b…
Scaling theory for the noise
Avinash Chand Yadav, Naveen Kumar
We show that in a broad class of processes that show a spectrum, the power also explicitly depends on the characteristic time scale. Despite an enormous amount of work, thi…
Scaling in simple continued fraction
Avinash Chand Yadav
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…
Critical Pólya urn
Avinash Chand Yadav
We propose a variant model of P{ó}lya urn process, where the dynamics consist of two competing elements namely, suppression of growth and enhancement of dormant character. Here the…
A general mechanism for the `' noise
Avinash Chand Yadav, Ramakrishna Ramaswamy, Deepak Dhar
We consider the response of a memoryless nonlinear device that converts an input signal into an output that only depends on the value of the input at the same time, $…
Correspondence between noisy sample space reducing process and records in correlated random events
Avinash Chand Yadav
We study survival time statistics in a noisy sample space reducing (SSR) process. Our simulations suggest that both the mean and standard deviation scale as , where …
Exact solution for a sample space reducing stochastic process
Avinash Chand Yadav
Stochastic processes wherein the size of the state space is changing as a function of time offer models for the emergence of scale-invariant features observed in complex systems. I…
Scaling behaviour in probabilistic neuronal cellular automata
Kaustubh Manchanda, Avinash Chand Yadav, Ramakrishna Ramaswamy
We study a neural network model of interacting stochastic discrete two--state cellular automata on a regular lattice. The system is externally tuned to a critical point which varie…
Power spectrum of mass and activity fluctuations in a sandpile
Avinash Chand Yadav, Ramakrishna Ramaswamy, Deepak Dhar
We consider a directed abelian sandpile on a strip of size , driven by adding a grain randomly at the left boundary after every time-steps. We establish the exact eq…