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math-ph2023
On the derivation of new non-classical hydrodynamic equations for Hamiltonian particle systems
Raffaele Esposito, Rossana Marra
We consider a Hamiltonian system of particles, interacting through of a smooth pair potential. We look at the system on a space scale of order ε^1, times of order ε^2, and mean vel…
math.AP2023
Ghost Effect from Boltzmann Theory: Expansion with Remainder
Raffaele Esposito, Yan Guo, Rossana Marra +1
Consider the limit of the steady Boltzmann problem \begin{align} v\cdot\nabla_x\mathfrak{F}=\varepsilon^{-1}Q[\mathfrak{F},\mathfrak{F}],\quad \mathfrak{F…
math.AP2023★ 2 cited
Ghost Effect from Boltzmann Theory
Raffaele Esposito, Yan Guo, Rossana Marra +1
Taking place naturally in a gas subject to a given wall temperature distribution [Maxwell1879], the ``ghost effect'' exhibits a rare kinetic effect beyond the prediction of classic…