Article (Scientific journals)
Numerical solution of the dynamical mean field theory of infinite-dimensional equilibrium liquids
Manacorda, Alessandro; Schehr, Grégory; Zamponi, Francesco
2020In Journal of Chemical Physics
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Abstract :
[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
European Projects :
H2020 - 723955 - GlassUniversality - Universal explanation of low-temperature glass anomalies
Funders :
CE - Commission Européenne [BE]
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since 07 January 2022

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