Isothermal Equation of State of Three Dimensional Yukawa Gas
Manish K. Shukla, K. Avinash, Rupak Mukherjee, R. Ganesh

TL;DR
This study uses Molecular Dynamics simulations to derive an isothermal equation of state for 3D Yukawa gas, revealing quadratic pressure-density scaling under confinement, consistent with previous theories and experiments.
Contribution
First to derive an equation of state for confined 3D Yukawa gas using MD simulations, highlighting quadratic pressure-density scaling in weak coupling regimes.
Findings
Pressure scales quadratically with density in weak coupling.
Confinement significantly increases pressure beyond kinetic contributions.
Results align with earlier theories and experimental observations.
Abstract
Molecular Dynamics (MD) simulation is carried out to examine the effect of particle confinement on the pressure of 3D Yukawa gas. Confinement effects are taken into account by using perfectly reflecting boundary condition in MD simulations. An equation of state relating pressure to number density is obtained. The results of the MD simulations show that in weak coupling regime pressure of confined Yukawa gas is much bigger than the kinetic pressure and scales quadratically with number density. Results are compared with earlier theories and experiments which show quadratic scaling of dust pressure with density.
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