Extended law of corresponding states in short-range square wells: A potential energy landscape study

We study the statistical properties of the potential energy landscape of a system of particles interacting via a very short-range square-well potential (of depth - u0) as a function of the range of attraction Δ to provide thermodynamic insights of the Noro and Frenkel [M. G. Noro and D. Frenkel, J. Chem. Phys. 113, 2941 (2000)] scaling. We exactly evaluate the basin free energy and show that it can be separated into a vibrational (Δ dependent) and a floppy (Δ independent) component. We also show that the partition function is a function of Δ eβ uo, explaining the equivalence of the thermodynamics for systems characterized by the same second virial coefficient. An outcome of our approach is the possibility of counting the number of floppy modes (and their entropy). © 2006 The American Physical Society.

Published in:
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74, 5, null
15393755 15502376
Other identifiers:
Scopus: 2-s2.0-33845185795
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Scopus: 2-s2.0-33845185795

 Record created 2010-01-27, last modified 2018-03-17

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