12 papers
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…