Nested sampling for materials: the case of hard spheres

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Partay, L. B., Bartok, A. P. and Csanyi, G. (2014) Nested sampling for materials: the case of hard spheres. Physical Review E, 89. 022302. ISSN 1539-3755 doi: 10.1103/PhysRevE.89.022302

Abstract/Summary

The recently introduced nested sampling algorithm allows the direct and efficient calculation of the partition function of atomistic systems. We demonstrate its applicability to condensed phase systems with periodic boundary conditions by studying the three dimensional hard sphere model. Having obtained the partition function, we show how easy it is to calculate the compressibility and the free energy as functions of the packing fraction and local order, verifying that the transition to crystallinity has a very small barrier, and that the entropic contribution of jammed states to the free energy is negligible for packing fractions above the phase transition. We quantify the previously proposed schematic phase diagram and estimate the extent of the region of jammed states. We find that within our samples, the maximally random jammed configuration is surprisingly disordered.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/67192
Identification Number/DOI 10.1103/PhysRevE.89.022302
Refereed Yes
Divisions Life Sciences > School of Chemistry, Food and Pharmacy > Department of Chemistry
Publisher American Physical Society
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