no code implementations • 14 Jan 2021 • Giada Basile, Dario Benedetto, Lorenzo Bertini, Carlo Orrieri
We introduce a Kac's type walk whose rate of binary collisions preserves the total momentum but not the kinetic energy.
Probability
no code implementations • 4 Aug 2020 • Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo, Matteo D'Achille, Gabriele Sicuro, Andrea Sportiello
In this paper, we show that, within the linearization approximation of the field-theoretical formulation of the problem, the first $\Omega$-dependent correction is on the constant term, and can be exactly computed from the spectrum of the Laplace--Beltrami operator on $\Omega$.
Mathematical Physics Disordered Systems and Neural Networks Mathematical Physics Probability
