2010/03/24 by Bernhard Schmid, R. Schilling, Rolf Schilling · 3 citations
Chemistry · Engineering · Materials Science · Physics and Astronomy · #Adsorption, diffusion, and thermodynamic properties of materials #Astronomy #Chemistry #Engineering physics #Hard spheres #Material Dynamics and Properties #Materials science #Phase Equilibria and Thermodynamics #Physics #SPHERES #Thermodynamics #Transition (genetics) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.81.041502
published as Phys. Rev. E 81, 041502 (2010) · 11 pages, 8 figures, Phys. Rev. E (in print)
arxiv created 2010/03/24 · openalex publication_date 2010/04/09 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We have investigated analytically and numerically the liquid-glass transition of hard spheres for dimensions d-->infinity in the framework of mode-coupling theory. The numerical results for the critical collective and self-nonergodicity parameters fc(k;d) and fc(s)(k;d) exhibit non-Gaussian k dependence even up to d=800.fc(s)(k;d) and fc(k;d) differ for k approximately d1/2, but become identical on a scale k approximately d, which is proven analytically. The critical packing fraction phic(d) approximately d(2)2(-d) is above the corresponding Kauzmann packing fraction phiK(d) derived by a small cage expansion. Its quadratic pre-exponential factor is different from the linear one found earlier. The numerical values for the exponent parameter and therefore the critical exponents a and b depend on d, even for the largest values of d.