Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids

[en] We present a numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids established in [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 the soft sphere one. 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 towards the glass phase in the dense strongly-interacting regime.

Disciplines :

Physics

Author, co-author :

Manacorda, Alessandro ; Laboratoire de Physique de l'École Normale Supérieure - LPENS

Schehr, Grégory

Zamponi, Francesco

External co-authors :

yes

Language :

English

Title :

Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids

Publication date :

24 April 2020

Journal title :

Journal of Chemical Physics

ISSN :

1089-7690

Publisher :

American Institute of Physics, New York, United States - New York

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://arxiv.org/abs/2002.09216

European Projects :

H2020 - 723955 - GlassUniversality - Universal explanation of low-temperature glass anomalies

Funders :

CE - Commission Européenne [BE]

Available on ORBilu :

since 07 January 2022

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