Estimation of Effective Viscosity to Quantify Collisional Behavior in Collisionless Plasma

Fuente: arXiv
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Main Authors: Adhikari, Subash, Gonzalez, Carlos, Yang, Yan, Oughton, Sean, Pecora, Francesco, Bandyopadhyay, Riddhi, Matthaeus, William H.
Format: Preprint
Published: 2025
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author Adhikari, Subash
Gonzalez, Carlos
Yang, Yan
Oughton, Sean
Pecora, Francesco
Bandyopadhyay, Riddhi
Matthaeus, William H.
author_facet Adhikari, Subash
Gonzalez, Carlos
Yang, Yan
Oughton, Sean
Pecora, Francesco
Bandyopadhyay, Riddhi
Matthaeus, William H.
contents While dissipation in collisional plasma is defined in terms of viscosity and resistivity, the exact functional form of dissipation i.e., the so-called dissipation function in nearly collisionless plasma is unknown. Nevertheless, previous studies have suggested that there exists viscous-like energy conversion in collisionless plasma with scaling characteristics analogous to collisional plasma, and in particular that the average dissipation is proportional to the square of the rate of strain as in hydrodynamics. In this study, using 2.5D kinetic particle-in-cell (PIC) simulation of collisionless plasma turbulence, we provide an estimate of effective viscosity at each scale, obtained via a scale-filtering approach. We then compare the turbulent dynamics of the PIC simulation with that from MHD and two-fluid simulations in which with the viscosity is equal to the effective viscosity estimate obtained from the PIC simulation. We find that the global behavior in these MHD and two-fluid simulations has a striking similarity with that in its kinetic/PIC counterpart. In addition, we explore the scale dependence of the effective viscosity, and discuss implications of this approach for space plasmas.
format Preprint
id arxiv_https___arxiv_org_abs_2509_04374
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Estimation of Effective Viscosity to Quantify Collisional Behavior in Collisionless Plasma
Adhikari, Subash
Gonzalez, Carlos
Yang, Yan
Oughton, Sean
Pecora, Francesco
Bandyopadhyay, Riddhi
Matthaeus, William H.
Plasma Physics
Space Physics
While dissipation in collisional plasma is defined in terms of viscosity and resistivity, the exact functional form of dissipation i.e., the so-called dissipation function in nearly collisionless plasma is unknown. Nevertheless, previous studies have suggested that there exists viscous-like energy conversion in collisionless plasma with scaling characteristics analogous to collisional plasma, and in particular that the average dissipation is proportional to the square of the rate of strain as in hydrodynamics. In this study, using 2.5D kinetic particle-in-cell (PIC) simulation of collisionless plasma turbulence, we provide an estimate of effective viscosity at each scale, obtained via a scale-filtering approach. We then compare the turbulent dynamics of the PIC simulation with that from MHD and two-fluid simulations in which with the viscosity is equal to the effective viscosity estimate obtained from the PIC simulation. We find that the global behavior in these MHD and two-fluid simulations has a striking similarity with that in its kinetic/PIC counterpart. In addition, we explore the scale dependence of the effective viscosity, and discuss implications of this approach for space plasmas.
title Estimation of Effective Viscosity to Quantify Collisional Behavior in Collisionless Plasma
topic Plasma Physics
Space Physics
url https://arxiv.org/abs/2509.04374