The ideal glass transition of hard spheres | Zendy

Giorgio Parisi | Zendy; Francesco Zamponi | Zendy

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The ideal glass transition of hard spheres

Author(s) -

Giorgio Parisi,

Francesco Zamponi

Publication year - 2005

Publication title -

the journal of chemical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.071

H-Index - 357

eISSN - 1089-7690

pISSN - 0021-9606

DOI - 10.1063/1.2041507

Subject(s) - hard spheres , atomic packing factor , spheres , statistical physics , glass transition , amorphous solid , entropy (arrow of time) , phase transition , coordination number , correlation function (quantum field theory) , ideal (ethics) , range (aeronautics) , replica , mathematics , physics , materials science , thermodynamics , chemistry , quantum mechanics , law , crystallography , ion , nuclear magnetic resonance , astronomy , political science , dielectric , composite material , polymer , art , visual arts

We use the replica method to study the ideal glass transition of a liquid ofidentical Hard Spheres. We obtain estimates of the configurational entropy inthe liquid phase, of the Kauzmann packing fraction, in the range 0.58--0.62,and of the random close packing density, in the range 0.64--0.67, depending onthe approximation we use for the equation of state of the liquid. We alsocompute the pair correlation function in the glassy states (i.e., denseamorphous packings) and we find that the mean coordination number at randomclose packing is equal to 6. All these results compare well with numericalsimulations and with other existing theories.Comment: 13 pages, 8 figure

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