Equilibrium of highly asymmetric non-neutral plasmas

Pure electron plasmas are usually confined within cylindrically symmetric Penning-Malmberg traps. When azimuthally asymmetric potentials are imposed on the trap walls, the plasmas deform into asymmetric shapes. Such deformed plasmas have been observed experimentally, and are long lived. This paper analyzes the equilibria of these plasmas. Wall potentials can be found which place many asymmetric, flat-top plasmas into exact equilibrium; virtually any flat-top plasma can be placed into approximate equilibrium.