Localized electromagnetic field structures in a weakly ionized plasma

1991/10/01 by L Turban, L. Turban, N. E. Andreev +2 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Laser-induced spectroscopy and plasma #Material Dynamics and Properties #Plasma Diagnostics and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.44.7051

published as Phys. Rev. B 44 (1991) 7051 · Old paper, for archiving. 3 pages, RevTeX

openalex publication_date 1993/03/01 · arxiv created 2001/06/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/11

Abstract

The conformal mapping w=(L/2\ensuremathπ)lnz transforms the critical plane with a radial perturbation \ensuremathα\mathrm\ensuremathρ^\mathrm\ensuremath-y into a cylinder with width L and a constant deviation \ensuremathα(2\ensuremathπ/L)^y from the bulk critical point when the decay exponent y is such that the perturbation is marginal. From the known behavior of the homogeneous off-critical system on the cylinder, one may deduce the correlation functions and defect exponents on the perturbed plane. The results are supported by an exact solution for the Gaussian model.

Citations

• Infinite conformal symmetry in two-dimensional quantum field theory
• The quantum Ising chain with a generalized defect
• An introduction to lattice gauge theory and spin systems

Cited by

• Conformal profiles in the Hilhorst-van Leeuwen model

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