Simulated dynamics of a plasma-sheath-liquid interface

A Geometric Level-set Formulation of a Plasma-sheath Interface

In this paper, we present a new geometric level-set formulation of a plasmasheath interface arising in the plasma physics. We formally derive the explicit dynamics of the interface from the Euler-Poisson equations and study the local-time evolution of the interface and sheath in some special cases.

KdV dynamics in the plasma-sheath transition

A mathematical model is formulated to catch the dynamics hidden in the plasma-sheath transition layer and the inner sheath layer for planar motion of a plasma. It is shown that the rescaled potential in the plasma-sheath transition layer and inner layer is governed by a perturbed KdV equation, through which some of the complex interactions and couplings among physical mechanisms acting in the p...

Appendix to Paper : a Geometric Level - Set Formulation of a Plasma - Sheath Interface

In this paper, we present appendices employed in the paper ”A geometric level-set formulation of a plasma-sheath interface” by the authors. Appendix A. Local existence of sheath solutions In this appendix, we present a series of a priori estimates for the approximate solutions constructed in Step 0 Step 7 in Section 7 and then give the proof Theorem 7.3. A.1. Basic a priori estimates. In this p...

Characteristics of a liquid/liquid optical waveguide using sheath flow and its application to detect molecules at a liquid/liquid interface.

The formation conditions and characteristics of a liquid/liquid optical waveguide (LLW) were studied using a two-phase sheath flow, where the inner organic phase flow acted as the core and the outer aqueous flow acted as the clad. In immiscible solvent systems, i.e., toluene/water and diethyl ether/water systems, the LLWs were formed in the range of higher than ca. 600 of the Reynolds number (R...

Stability of the Plasma-sheath