Clarification and Questions on “Growing Length and Time Scales in Glass-forming Liquids”. Ryoichi Yamamoto Kyoto University. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A. Summary of Dasgupta’s talk.
TexPoint fonts used in EMF.
Read the TexPoint manual before you delete this box.: AA
Introduced a “temporal quantity Q(t0)” which is sensitive to particle motions associated with a microscopic length scale “a” and a lag time ”t”.
Then, set “a=0.3s ” and “t=t4”.
average part (later)
Examined FSS for χ4 and B.
OK, FSS seems to work for the “fluctuating” part.
Next, examined FSS for the structural relaxation time.
FSS doesn’t work for the average relaxation time...
Summary so far...
Q1: FSS seems to work well for the “fluctuation part” but fails for the “average part”. Does this statement make sense?
Finaly, try FSS for Configurational Entropy.
Very interesting results, but still confusing...
FSS seems to work for Sc, but the fitted values of x do not mach with those from χ4 or B at all.
The relaxation time fits very well with AG fitting.
Q2: What does this result suggest ? Decoupling of glowing time scale and glowing length scale with decreasing system size??
fluctuations in “order parameter “
time-space correlation (2-point)
This is so-called critical slowing-down. Glowing length directly leads to the slowing-down!!
fluctuations in “local dynamics”
time-space correlation (4-point)
RY&Onuki (’97, ‘98), Glotzer (‘99), Berthier (‘04), Weeks (?), IMCT (‘06),...
4-point relaxation time
(migration time of DH)
2-point relaxation time
(usual relaxation time)
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