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Published May 19, 2015 | Submitted
Journal Article Open

Liquid pair correlations in four spatial dimensions: Theory versus simulation

Abstract

Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the Ornstein–Zernike equation, by comparing the results to computer simulation data. Our results are of relevance to understand crystal and glass formation in high-dimensional systems.

Additional Information

© 2015 Taylor & Francis. Received: 6 Nov 2014; Accepted: 26 Nov 2014; Published online: 07 Jan 2015. It is our pleasure to thank Ramón Castãneda-Priego, Mauricio D. Carbajal-Tinoco and Cristian Vasile Achim for helpful comments and discussions. Jürgen Horbach acknowledges funding via the DFG Research Unit FOR1394 [grant number HO 2231/7-2] 'nonlinear response to probe vitrification'; Marco Heinen and Hartmut Löwen acknowledge funding within the ERC advanced grant INTERCOCOS [grant number 267499]. Marco Heinen acknowledges funding by a fellowship within the Postdoc-program of the German Academic Exchange Service (DAAD).

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