By V Dotsenko

Goals to explain merely the recent sector of statistical mechanics often called spin-glasses, encompassing platforms within which quenched sickness is the dominant issue.

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Extra info for An introduction to the theory of spin glasses and neural networks

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Thus the diffusion region in the slow shock model is not an entirely different mechanism from the shock region. It can be regarded as the overlap region of finite width shock waves that are intersecting at a small angle. Magnetic field diffusion is always important within the shock thickness. It simply becomes the dominant effect within this overlap region. Some recent numerical calculations of the reconnection model seem to have looked for a thin shock coming out of the diffusion region and argued that in order to obtain shock waves emanating from the diffusion region the con- PETSCHEK ductivity needs to be lower near the neutral point than it is at larger distances [Yan et al, 1992].

Despite the unrealistic "specular reflection" picture on which they were originally based, these models remain of relevance because the pressure exerted by the flow of a hypersonic fluid around a cavity is of the form given by Equation 1, but with a modified numerical constant multiplying the normal momentum flux of the plasma (~ 1 instead of 2). , Spreiter and Stahara, 1980; review by Stern, [this volume]). 0 ©B z z THE FERRARO-DUNGEY-ROSENBLUTH SHEATH We now turn to the second of the above problems, that of the current sheet structure produced by the interaction between a cold (zero thermal velocity) field-free plasma stream and a vacuum magnetic field.

However, any finite but very large conductivity allows for reconnec­ tion by providing concentrated dissipation in small but critical regions. Additionally, the predicted rate of recon­ nection is almost independent of the magnitude of the ap­ propriate dissipation coefficient. 4 Viscosity and Aerodynamic Drag For zero viscosity there is a classical mathematical theo­ rem (d'Alembert's "paradox") that proves that the drag on a closed body in a subsonic flow is identically equal to zero. However, if the viscosity is very small but non-zero there is a drag.

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