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Simulations (Click the title to view the movie)

3D Fully Kinetic (Monte-Carlo/PIC) simulations of a sustain discharge in a PDP Cell (2004). This is the first (and the only) 3D kinetic simulation of a pdp cell. In this movie we show the most interesting and important (energy-wise) part of the sustain discharge,  when one can observe the striations above the anode and the spread of the discharge over the cathode (the cathode wave). This part of the discharge can't be reproduced using fluid methods. The arc-shape of the front of the cathode wave, and the shape of the striations with maximum density at the ends of arcs have been observed experimentally. Simulations were made for a 7%Xe-93%Ne mixture, commonly used in the PDP panels. The number of particles in the last frame of this movie exceeds 3,000,000.

Dynamics of the breakdown of the discharge gap at high overvoltage (2004). Here we studied the dynamics of the breakdown of the discharge in a gap between two plane electrodes at high over-voltage (3D MC/PIC). In these simulations, the macroparticles represent exactly their physical counterparts (one ion/electron is represented by just ONE macroparticle!). Total of up to 250 million of ions and electrons are tracked on a up to 64 processors. The breakdown is initiated by a single seed electron, and then an ionization region formed at the anode spreads toward the cathode. Such realistic simulations allow the elucidation of the role of fluctuations in microdischarges, when the gap width is small and the number of particles is relatively low. When the charge produced by an avalanche originated by just a single electron emitted from the cathode is comparable with the charge at the tip of the ionizing wave, its front moves erratically (see 800um gap case).

3D Fluid simulation of a sustain discharge in a PDP Cell (1998).  This is the first 3D simulation of the discharge in a pdp-cell. We used 7%Xe-93%Ne mixture for the simulations, and the local field approximation for the kinetic coefficients and rates. Although these simulations feature good general similarity with a real discharge, ( fast comet-like development of the initial part of the discharge; influence of the dimensions of certain elements and dielectrics on the discharge; cross-talk between cells, etc.)   they give a wrong shape and the speed of the cathode wave, as well as they don't show any striations. As any fluid simulations, they also can't provide reliable information on the efficiency of the discharge.

3D Fluid simulation of the cathode wave (2000). Here we tried to analyze the properties of the cathode wave (speed, shape) using hydrodynamic simulations. Unfortunately the numerical diffusion in the very front of the cathode wave is too strong, so the shape of it is clearly triangular (top view), rather than arc-like. Even high-resolution simulations had this triangular shape, though the tip was much better. The problem was resolved only in the Monte-Carlo simulations (above). General characteristic of the discharge - currents through electrodes, etc. are in good agreement with experiment.

Monte-Carlo simulations of the avalanche sliding along the surface (2004).  When doing fluid simulations related to PDPs we came across a strange effect -  the discharge sustained or even grew, long after it  was expected to die. For example, we can place a small amount of electrons in a long narrow channel, with electric field directed at about 45 degrees to the surface and even if we "turn off" the secondary emission (to avoid secondary avalanches), the ion/electron density in the gap can stay much longer than the ion drift time between walls. We used extremely low density of electrons, so that all nonlinear effects were negligible. Further investigation have shown that this is a real effect caused by electron diffusion, it has nothing to do with fluid approximation, and can be observed in MC simulations. In the movie we show the avalanche initiated with just one electron, sliding along the narrow channel with electric field directed at a large angle to the surface. To worsen the case, we have chosen the secondary emission to be zero. Remarkably, the avalanche propagation effect is present even in the uniform electric field, in the absence of any effects related to a space or surface charge.