| Abstract: | In the investigation of boundary problems for a rarefied plasma the occurrence of stationary periodic solutions 1–3] has been noted on more than one occasion. Since the existence of such solutions leads to a finite change in certain plasma parameters for infinitesimal changes in other parameters, the region of periodic solutions is treated in a series of papers as an instability region 3, 4]. However, as far as the authors are aware, arbitrary assumptions have been made in existing papers regarding the distribution of charged particles. For example, in Bohm's article 3] a monovelocity model was proposed, and in the papers of Auer, Hurwitz, McIntyre and others, an arbitrary distribution of trapped particles was introduced.Consequently, it is of interest to carry out a strict investigation of the question of whether spatial periodicity exists in a stationary rarefied plasma. The present paper finds criteria for the appearance of spatially periodic solutions for the self-consistent problem in the zero-th approximation in L/ (L is a characteristic dimension of the system, is the mean free path of plasma particles). |
