A method for the enumeration of the floppy modes and the calculation of the associated entropy

We present a method that is based on the Ladd-Frenkel (LF) thermodynamic integration for the study of the rigidity of networks of particles bonded together by short-ranged square well attractive potentials. We show that, by taking the limit of the attractive range going to zero, the celebrated Baxter limit, the degrees of freedom per particle of the system reduces to the fraction of floppy modes, i.e.those modes associated with movements at constant bonding distance. This method allows us to enumerate this fraction in a straightforward way and to calculate precisely the entropy associated with the sampling of phase space due to these floppy modes. Inparticular, we shall discuss how this quantity changes in the case of three (3D) and two dimensions (2D). © 2008 IOP Publishing Ltd.


Published in:
Journal of Physics Condensed Matter, 20, 49, 494241
Year:
2008
ISSN:
09538984
1361648X
Other identifiers:
Scopus: 2-s2.0-58149352734
View record in Web of Science
Scopus: 2-s2.0-58149352734
Laboratories:




 Record created 2010-01-27, last modified 2018-12-03


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)