546 research outputs found
Steady state solution of the Fokker-Planck equation combined with unidirectional quasilinear diffusion under detailed balance conditions
The Effect of Intra- and Inter-ring Couplings in Leaky Integrate-and-Fire Multiplex Networks
We study the dynamics of identical Leaky Integrate-and-Fire (LIF) neurons on
a multiplex composed of two ring networks with symmetric nonlocal coupling
within each ring and one-to-one connections between rings. We investigate the
impact of different intra-ring coupling strengths in the two rings for
attractive and repulsive inter-ring coupling and show that they can lead to
subthreshold oscillations. The corresponding parameter spaces where this
phenomenon occurs are determined numerically. Moreover, we show that depending
on whether the couplings between the two rings are attractive or repulsive, the
interaction produces qualitatively different behavior in the synchronization
patterns and the mean frequency profiles.Comment: 12 pages; 6 figure
Analytical model for the perpendicular temperature enhancement in lower-hybrid current drive
The enhancement of the perpendicular temperature inside the resonant region, observed in numerical studies of the two-dimensional Fokker-Planck equation, combined with unidirectional RF quasilinear diffusion, is modeled on the basis of the collisional relaxation equations. Strong RF diffusion is assumed and relativistic effects are taken into account. The resulting enhanced perpendicular temperature is a function of the position and the width of the applied RF spectrum. Good agreement with two-dimensional Fokker-Planck numerical results has been found
Lagrangian formulation of transport theory; like-particle collisional transport and variational principle
Nonlinear Theory of Cyclotron Resonant Wave-Particle Interactions: Analytical results beyond the Quasilinear Approximation
Quasilinear Theory for Momentum and Spatial Diffusion due to Radio Frequency Waves in Non-Axisymmetric Toroidal Plasmas
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