Large deviations for nematic liquid crystals driven by pure jump noise

TL;DR

This paper proves a large deviation principle for a stochastic model of nematic liquid crystals influenced by pure jump noise, using the weak convergence method to analyze rare events in the system.

Contribution

It introduces a large deviation framework for nematic liquid crystals driven by jump noise, applying the weak convergence approach for the first time in this context.

Findings

Established a large deviation principle for the system

Demonstrated the effectiveness of the weak convergence approach

Provided insights into rare event probabilities in liquid crystal dynamics

Abstract

In this paper, we establish a large deviation principle for a stochastic evolution equation which describes the system governing the nematic liquid crystals driven by pure jump noise. The proof is based on the weak convergence approach.