Energy Dissipation in Strong Collisionless Shocks: The Crucial Role of Ion-to-Electron Scale Separation in Particle-in-Cell Simulations

Fuente: arXiv
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Autore principale: Shalaby, Mohamad
Natura: Preprint
Pubblicazione: 2024
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author Shalaby, Mohamad
author_facet Shalaby, Mohamad
contents Energy dissipation in collisionless shocks is a key mechanism in various astrophysical environments. Its non-linear nature complicates analytical understanding and necessitate Particle-in-Cell (PIC) simulations. This study examines the impact of reducing the ion-to-electron mass ratio ($m_r$), to decrease computational cost, on energy partitioning in 1D3V (one spatial and three velocity-space dimensions) PIC simulations of strong, non-relativistic, parallel electron-ion collisionless shocks using the SHARP code. We compare simulations with a reduced mass ratio ($m_r = 100$) to those with a realistic mass ratio ($m_r = 1836$) for shocks with high ($\mathcal{M}_A = 21.3$) and low ($\mathcal{M}_A = 5.3$) Alfv$\acute{\text{e}}$n Mach numbers. Our findings show that the mass ratio significantly affects particle acceleration and thermal energy dissipation. At high $\mathcal{M}_A$, a reduced mass ratio leads to more efficient electron acceleration and an unrealistically high ion flux at higher momentum. At low $\mathcal{M}_A$, it causes complete suppression of electron acceleration, whereas the realistic mass ratio enables efficient electron acceleration. The reduced mass ratio also results in excessive electron heating and lower heating in downstream ions at both Mach numbers, with slightly more magnetic field amplification at low $\mathcal{M}_A$. Consequently, the electron-to-ion temperature ratio is high at low $\mathcal{M}_A$ due to reduced ion heating and remains high at high $\mathcal{M}_A$ due to increased electron heating. In contrast, simulations with the realistic $m_r$ show that the ion-to-electron temperature ratio is independent of the upstream magnetic field, a result not observed in reduced $m_r$ simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03530
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Energy Dissipation in Strong Collisionless Shocks: The Crucial Role of Ion-to-Electron Scale Separation in Particle-in-Cell Simulations
Shalaby, Mohamad
High Energy Astrophysical Phenomena
Astrophysics of Galaxies
Solar and Stellar Astrophysics
Plasma Physics
Space Physics
Energy dissipation in collisionless shocks is a key mechanism in various astrophysical environments. Its non-linear nature complicates analytical understanding and necessitate Particle-in-Cell (PIC) simulations. This study examines the impact of reducing the ion-to-electron mass ratio ($m_r$), to decrease computational cost, on energy partitioning in 1D3V (one spatial and three velocity-space dimensions) PIC simulations of strong, non-relativistic, parallel electron-ion collisionless shocks using the SHARP code. We compare simulations with a reduced mass ratio ($m_r = 100$) to those with a realistic mass ratio ($m_r = 1836$) for shocks with high ($\mathcal{M}_A = 21.3$) and low ($\mathcal{M}_A = 5.3$) Alfv$\acute{\text{e}}$n Mach numbers. Our findings show that the mass ratio significantly affects particle acceleration and thermal energy dissipation. At high $\mathcal{M}_A$, a reduced mass ratio leads to more efficient electron acceleration and an unrealistically high ion flux at higher momentum. At low $\mathcal{M}_A$, it causes complete suppression of electron acceleration, whereas the realistic mass ratio enables efficient electron acceleration. The reduced mass ratio also results in excessive electron heating and lower heating in downstream ions at both Mach numbers, with slightly more magnetic field amplification at low $\mathcal{M}_A$. Consequently, the electron-to-ion temperature ratio is high at low $\mathcal{M}_A$ due to reduced ion heating and remains high at high $\mathcal{M}_A$ due to increased electron heating. In contrast, simulations with the realistic $m_r$ show that the ion-to-electron temperature ratio is independent of the upstream magnetic field, a result not observed in reduced $m_r$ simulations.
title Energy Dissipation in Strong Collisionless Shocks: The Crucial Role of Ion-to-Electron Scale Separation in Particle-in-Cell Simulations
topic High Energy Astrophysical Phenomena
Astrophysics of Galaxies
Solar and Stellar Astrophysics
Plasma Physics
Space Physics
url https://arxiv.org/abs/2412.03530