Dynamic phase diagram, regimes

If normalized shear stress c/Go and shear rate yxR are introduced, it is possible to summarize the overall nonlinear rheological behavior measured at different concentrations and temperatures on a master dynamic phase diagram as shown in Fig. 12 [137]. The flow curve at 21 wt. %, a concentration close to the I-N transition, makes the link with the concentrated regime. As concentration decreases, stress... 

The dynamic behavior of this system was examined using linear stability analysis [8] and is thoroughly discussed in the review articles [9, 10], The results can be best summarized in a so-called two-parameter bifurcation diagram, in which, similar to phase diagrams, regions with qualitatively different behavior (states) are indicated. The dominant regimes of the N-NDR oscillator (Eqs. (38a,b)) are depicted in Fig. 11... 

Fig. 15.9. Dynamics of the foodweb model (15.8) in the phase coherent regime as a function of the control parameter 6. (a) Bifurcation diagram, plotted are the maxima of w, (b) largest Lyapunov exponent A (c) mean frequency cj (solid line). Further indicated is the approximation wo b) = Vb (dotted line).

Figure 12. Phase diagram of the dynamical regimes in the parameter plane (x, p). U Undistorted state D stationary Distorted states O periodic Oscillating states PR Periodic Rotating states QPR Quasi-Periodic Rotating states LD and LO Large reorientation associated respectively with stationary Distorted and Oscillating states. The dashed lines hpR, /ild and /ilo correspond to the hysteretic region of the PR, LD and LO states, respectively. The points are experimental data extracted from [49] for D ( ), O (o), PR (A) and hysteretic PR (V).

HGURE 8.31 The phase diagram of strongly interacting matter. The antiproton-induced cold compression (c.c.) takes place at low temperatures and high densities, a regime that cannot be accessed in heavy-ion collisions. The curves with arrows denote dynamic trajectories of matter in heavy-ion collisions as expected at the future GSI facility and the relativistic heavy-ion collider (RHIC) at Brookhaven National Laboratory. 

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