Linear stochastic stability analysis of nonlinear systems. Parametric destabilization of the wave propagation

TL;DR

This paper presents a straightforward method for linear stochastic stability analysis of nonlinear systems, focusing on the destabilization of Langmuir waves in plasma and analyzing the long-term behavior of system moments.

Contribution

It introduces a simple approach for linearizing stochastic stability analysis and applies it to plasma wave destabilization, providing insights into large-time behavior of moments.

Findings

Method effectively analyzes stochastic destabilization of plasma waves.

Provides a framework for studying long-term behavior of nonlinear stochastic systems.

Demonstrates application to Langmuir waves in plasma.

Abstract

Straightforward method for the derivation of linearized version of stochastic stability analysis of the nonlinear differential equations is presented. Methods for the study of large time behavior of the moments are exposed. These general methods are applied to the study of the stochastic destabilization of the Langmuir waves in plasma.