Pure Monte Carlo Method: a Third Way for Plasma Simulation

TL;DR

This paper introduces a novel plasma simulation approach called Pure Monte Carlo (PMC), which uniquely solves all equations and processes via Monte Carlo methods, potentially replacing traditional fluid/kinetic and particle-in-cell techniques.

Contribution

The paper presents a comprehensive PMC-based plasma simulation method that integrates all system equations and procedures, offering a new paradigm beyond existing methods.

Findings

PMC demonstrates advantages in plasma simulation accuracy and efficiency.

PMC can potentially replace existing fluid/kinetic and PIC methods.

The approach is suitable for complex, unsolved plasma problems.

Abstract

We bring a totally new concept for plasma simulation, other than the conventional two ways: Fluid/Kinetic Continuum (FKC) method and Particle-in-Cell (PIC) method. This method is based on Pure Monte Carlo (PMC), but far beyond traditional treatments. PMC solves all the equations (kinetic, fluid, field) and treats all the procedures (collisions, others) in the system via MC method. As shown in two paradigms, many advantages have found. It has shown the capability to be the third importance approach for plasma simulation or even completely substitute the other two in the future. It's also suitable for many unsolved problems, then bring plasma simulation to a new era.