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Volumn 69, Issue 5, 2004, Pages 9-

Slow dynamics in gelation phenomena: From chemical gels to colloidal glasses

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Indexed keywords


EID: 85036409745     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.051103     Document Type: Article
Times cited : (15)

References (52)
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    • P. Meakin, Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.51.1119 51, 1119 (1983);
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    • J. P. Hansen, D. Levesque, and P. Zinn-Justin, Elsevier
    • W. Göetze, in Liquid, Freezing and Glass Transition, edited by J. P. Hansen, D. Levesque, and P. Zinn-Justin (Elsevier, New York, 1991).
    • (1991) Liquid, Freezing and Glass Transition
    • Göetze, W.1
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    • Ann. Henri Poincare (to be published)
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    • Cates, M.E.1
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    • 85036296443 scopus 로고    scopus 로고
    • Taking into account both the interaction energy by means of (Formula presented) and the frequency (Formula presented) for the bonds corresponds to having a free energy barrier in the bond formation c25: Consider a pair of particles which can be in (Formula presented) configurations. (Formula presented) (unbonded) corresponds to zero energy and 1 (bonded) corresponds to energy (Formula presented). Breaking of a bond corresponds to going from a state of energy (Formula presented) to a state of entropy (Formula presented), with a variation in the free energy (Formula presented). The lifetime of the bonding configuration is proportional to (Formula presented), and the frequency of going from one of the unbonding configurations to the bonding configuration is given by (Formula presented)
    • Taking into account both the interaction energy by means of (Formula presented) and the frequency (Formula presented) for the bonds corresponds to having a free energy barrier in the bond formation c25: Consider a pair of particles which can be in (Formula presented) configurations. (Formula presented) (unbonded) corresponds to zero energy and 1 (bonded) corresponds to energy (Formula presented). Breaking of a bond corresponds to going from a state of energy (Formula presented) to a state of entropy (Formula presented), with a variation in the free energy (Formula presented). The lifetime of the bonding configuration is proportional to (Formula presented), and the frequency of going from one of the unbonding configurations to the bonding configuration is given by (Formula presented).
  • 39
    • 85036280745 scopus 로고    scopus 로고
    • We consider one starting configuration with a fixed (Formula presented) as obtained in the case of permanent bonds. For each value of the bond lifetime (Formula presented) we perform test simulations for different values of (Formula presented). The fraction of formed bonds with respect to all the possible ones varies during an initial transient and then fluctuates around an average value which, for a fixed (Formula presented), depends on (Formula presented) and (Formula presented). For the study of the dynamics, for each value of (Formula presented) we take (Formula presented) so that the average value of the fraction of present bonds during the simulations is the same as its value at the same (Formula presented) with permanent bonds
    • We consider one starting configuration with a fixed (Formula presented) as obtained in the case of permanent bonds. For each value of the bond lifetime (Formula presented) we perform test simulations for different values of (Formula presented). The fraction of formed bonds with respect to all the possible ones varies during an initial transient and then fluctuates around an average value which, for a fixed (Formula presented), depends on (Formula presented) and (Formula presented). For the study of the dynamics, for each value of (Formula presented) we take (Formula presented) so that the average value of the fraction of present bonds during the simulations is the same as its value at the same (Formula presented) with permanent bonds.
  • 40
    • 85036427651 scopus 로고    scopus 로고
    • The role of directional effects in the attractive interaction in colloidal gels is not clear and deserves further investigation
    • The role of directional effects in the attractive interaction in colloidal gels is not clear and deserves further investigation.
  • 44
    • 85036372311 scopus 로고    scopus 로고
    • After having thermalized the system at a given value of the monomer concentration (Formula presented), the autocorrelation functions of the density fluctuations (Formula presented) are calculated by time averages over runs of (Formula presented). The errors are calculated as the fluctuations on the statistical ensemble ((Formula presented) different realizations of the system have been considered). Where not explicitly shown, the error bars are of the order of the symbol size in the figures
    • After having thermalized the system at a given value of the monomer concentration (Formula presented), the autocorrelation functions of the density fluctuations (Formula presented) are calculated by time averages over runs of (Formula presented). The errors are calculated as the fluctuations on the statistical ensemble ((Formula presented) different realizations of the system have been considered). Where not explicitly shown, the error bars are of the order of the symbol size in the figures.
  • 46
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    • A. T. Ogielski, Phys. Rev. BPRBMDO0163-182910.1103/PhysRevB.32.7384 32, 7384 (1985).
    • (1985) Phys. Rev. B , vol.32 , pp. 7384
    • Ogielski, A.T.1
  • 48
    • 85036203807 scopus 로고    scopus 로고
    • Although with these two conditions we cannot exclude that we are in an aging regime, we do not expect to find aging, as we are not in the glassy region c31
    • Although with these two conditions we cannot exclude that we are in an aging regime, we do not expect to find aging, as we are not in the glassy region c31.


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