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19952023
most citedStatistical Theory of Magnetohydrodynamic Turbulence: Recent Results

295 citations · 3.9k across the 116 of their papers we have counts for

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22 papers · 1 filter

nlin.CD2011★ 49 cited

Bistability and chaos in Taylor-Green dynamo

Rakesh Yadav, Mahendra K. Verma, Pankaj Wahi

Using direct numerical simulations we study dynamo action under the Taylor-Green forcing with Prandtl number less than one. We observe bistability with a weak magnetic field branch…

nlin.CD2011★ 141 cited

Dynamics and symmetries of flow reversals in turbulent convection

Mani Chandra, Mahendra K. Verma

Based on direct numerical simulations and symmetry arguments, we show that the large-scale Fourier modes are useful tools to describe the flow structures and dynamics of flow rever…

nlin.CD2010

Period doubling route to chaos in Taylor-Green dynamo

R. Yadav, M. Chandra, M. K. Verma +2

We perform spectral simulations of dynamo for magnetic Prandtl number of one with Taylor-Green forcing. We observe dynamo transition through a supercritical pitchfork bifurcation.…

nlin.CD2009★ 25 cited

Bifurcation and chaos in zero Prandtl number convection

Pinaki Pal, Pankaj Wahi, Mahendra K. Verma +2

We present the detailed bifurcation structure and associated flow patterns near the onset of zero Prandtl number Rayleigh Bénard convection. We employ both direct numerical simulat…

nlin.CD2008★ 16 cited

Energy transfers in shell models for MHD turbulence

T. Lessinnes, M. K. Verma, D. Carati

A systematic procedure to derive shell models for MHD turbulence is proposed. It takes into account the conservation of ideal quadratic invariants such as the total energy, the cro…

nlin.CD2008★ 52 cited

Dynamo Transition in Low-dimensional Models

Mahendra K. Verma, Thomas Lessinnes, Daniele Carati +3

Two low-dimensional magnetohydrodynamic models containing three velocity and three magnetic modes are described. One of them (nonhelical model) has zero kinetic and current helicit…