We present a numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids established by Maimbourg et al. [Phys. Rev. Lett. 116, 015902 (2016)]. For soft sphere interactions, we obtain the numerical solution by an iterative algorithm and a straightforward discretization of time. We also discuss the case of hard spheres for which we first derive analytically the dynamical mean field theory as a non-trivial limit of that of soft spheres. We present numerical results for the memory function and the mean square displacement. Our results reproduce and extend kinetic theory in the dilute or short-time limit, while they also describe dynamical arrest toward the glass phase in the dense strongly interacting regime.
Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids / Manacorda, Alessandro; Schehr, Grégory; Zamponi, Francesco. - In: THE JOURNAL OF CHEMICAL PHYSICS. - ISSN 0021-9606. - 152:16(2020), pp. 1-27. [10.1063/5.0007036]
Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
Alessandro Manacorda
;Francesco Zamponi
2020
Abstract
We present a numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids established by Maimbourg et al. [Phys. Rev. Lett. 116, 015902 (2016)]. For soft sphere interactions, we obtain the numerical solution by an iterative algorithm and a straightforward discretization of time. We also discuss the case of hard spheres for which we first derive analytically the dynamical mean field theory as a non-trivial limit of that of soft spheres. We present numerical results for the memory function and the mean square displacement. Our results reproduce and extend kinetic theory in the dilute or short-time limit, while they also describe dynamical arrest toward the glass phase in the dense strongly interacting regime.File | Dimensione | Formato | |
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