When do soft spheres become hard spheres?

التفاصيل البيبلوغرافية
العنوان: When do soft spheres become hard spheres?
المؤلفون: Khrapak, S. A., Kryuchkov, N. P., Mistryukova, L. A., Yurchenko, S. O.
المصدر: Physical Review E 103, 052117 (2021)
سنة النشر: 2021
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Soft Condensed Matter, Condensed Matter - Materials Science, Condensed Matter - Statistical Mechanics
الوصف: The conventional (Zwanzig-Mountain) expressions for instantaneous elastic moduli of simple fluids predict their divergence as the limit of hard sphere (HS) interaction is approached. However, elastic moduli of a true HS fluid are finite. Here we demonstrate that this paradox reveals the soft- to hard-sphere crossover in fluid excitations and thermodynamics. With extensive \emph{in-silico} study of fluids with repulsive power-law interactions ($\propto r^{-n}$), we locate the crossover at $n\simeq 10-20$ and develop a simple and accurate model for the HS regime. The results open novel prospects to deal with the elasticity and related phenomena in various systems, from simple fluids to melts and glasses.
Comment: 6 pages, 4 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.103.052117
URL الوصول: http://arxiv.org/abs/2110.01432
رقم الأكسشن: edsarx.2110.01432
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.103.052117