Gautam Mandal and Takeshi Morita
In this website, we exhibit the movies of the time evolutions of the eigen values of unitary matrix models.
Single trace matrix model (section 2)
Exact calculation at N=120
Fig. 4(left): From gapless toward gapped (from t=0 until t=200)
Time evolution of eigenvalue density [wmv (3.9MB)] [mp4 (8.6MB)]

Fig. 4(right): From gapped to gapless (from t=0 until t=200)
Time evolution of eigenvalue density [wmv (3.2MB)] [mp4 (5.6MB)]

Single trace matrix model (section 2)
Semiclassical approximation
Fig. 4(left): From gapless toward gapped (from t=0 until t=100)
Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.3MB)],
Time evolution of eigenvalue density [wmv (1.3MB)] [mp4 (2.3MB)]

Fig. 4(right): From gapped to gapless (from t=0 until t=100)
Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.3MB)],
Time evolution of eigenvalue density [wmv (1.3MB)] [mp4 (2.4MB)]

Double trace matrix model (section 3)
Semiclassical approximation
Fig. 9: From uniform to non-uniform (from t=0 until t=100)
Time evolution of phase space droplet [wmv (4.4MB)] [mp4 (6.4MB)],
Time evolution of eigenvalue density [wmv (1.4MB)] [mp4 (2.0MB)]

Fig. 10: From gapped to uniform (from t=0 until t=400)
Time evolution of phase space droplet [wmv (3.8MB)] [mp4 (5.2MB)],
Time evolution of eigenvalue density [wmv (1.1MB)] [mp4 (2.0MB)]

Fig. 11: From uniform to 2 solitons(?) (from t=0 until t=80)
Time evolution of phase space droplet [wmv (3.5MB)] [mp4 (5.3MB)],
Time evolution of eigenvalue density [wmv (1.0MB)] [mp4 (1.6MB)]

Fig. 12: From uniform to gapped via 2 blobs (from t=0 until t=80)
Time evolution of phase space droplet [wmv (2.3MB)] [mp4 (5.4MB)],
Time evolution of eigenvalue density [wmv (0.7MB)] [mp4 (1.8MB)]

Go back