2 problems

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Gaspard–Gilbert universality conjecture for static conductivity relations
Gaspard–Gilbert universality conjecture. The displayed equalities should hold for more general stochastic energy-exchange models obtained from locally confined collision dynamics.…
Conjectureopenenergy-exchange-models stochastic-processes thermal-conductivityarXiv posted 2 days ago
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Gaspard–Gilbert porous-medium conjecture for mesoscopic billiard-lattice energy exchange
Gaspard and Gilbert's conjecture. The hydrodynamic equation of mesoscopic energy exchange models of a billiard lattice is the porous medium equation with $m=\frac{1}{2}$ .
Conjectureopenenergy-exchange-models hydrodynamic-limits porous-medium-equationarXiv posted 2 days ago

Gaspard–Gilbert universality conjecture for static conductivity relations