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Volumn 67, Issue 5, 1998, Pages 1505-1508

Early Stage of Slow Dynamics in Dynamical Density Functional Theory of a Hard-Sphere Liquid near the Glass Transition

Author keywords

Dynamical density functional theory; Glass transition; Kinetic lattice gas model; Mode coupling theory; Slow relaxation

Indexed keywords


EID: 0032349076     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.1505     Document Type: Article
Times cited : (18)

References (31)
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    • to be published
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    • 4,7) see also R. Schmitz, J. W. Dufty and P. De: Phys. Rev. Lett. 71 (1993) 2066. At this time it is still unclear how our DDFT can shed light on this issue, which is now under investigation.
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  • 21
    • 0000782086 scopus 로고
    • N. Y.
    • see J. S. Langer: Ann. Phys. (N. Y.) 54 (1969) 258, in which, however, the second-rank kinetic tensor should be modified; see K. Kitahara and M. Imada: Prog. Theor. Phys. Suppl. 64 (1978) 165.
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    • see J. S. Langer: Ann. Phys. (N. Y.) 54 (1969) 258, in which, however, the second-rank kinetic tensor should be modified; see K. Kitahara and M. Imada: Prog. Theor. Phys. Suppl. 64 (1978) 165.
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    • Although the approximation becomes better as longer coarsening lengths are chosen, a proper choice of the coarse-graining scale as described in the text is indeed a key to correctly reproduce the β-relaxation as well as the α-relaxation. If a longer coarsening scale is employed to capture the latter process as was done by C. Dasgupta and O. T. Valls: Phys. Rev. E 53 (1996) 2603, the nonlinear feedback mechanism of density fluctuations giving rise to the former process is completely lost.
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    • The same equation has been derived but in different contexts; see T. Munakata: J. Phys. Soc. Jpn. 43 (1977) 1723; B. Bagchi: Physica A 145 (1987) 273.
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    • The same equation has been derived but in different contexts; see T. Munakata: J. Phys. Soc. Jpn. 43 (1977) 1723; B. Bagchi: Physica A 145 (1987) 273.
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    • note
    • For L̃ = 15 and σ = 3.3h, qσ ≃ 18 at the R point of the zone boundary. No lattice pinning was detected even in the lowest packing fraction studied.


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