Nonuniform stationary states

ON THE THEORY OF THE ORIGIN OF SPATIALLY NONUNIFORM STATIONARY STATES (DISSIPATIVE STRUCTURES) IN HETEROGENEOUS CATALYTIC SYSTEMS... 

Considering these relations simultaneously with Eq. (6) leads to a number of consequences of practical importance. From Eq. (10) it follows that nonuniform stationary states can arise only from the destruction of those uniform states which correspond to the ascending branch of rj) = 0, since the derivative dGjdt] < 0 within the entire interval 0 < i/j < 1, and 50/50 > 0 only in the region of 0 values lying just on this branch. 

A dynamic transition of the autowave type between two nonuniform stationary states in the stability region to SNP is shown in Fig. 42. 

On The Theory Of The Origin Of Spatially Nonuniform Stationary States (Dissipative Structures) In Heterogeneous Catalytic Systems 551... 

Therefore, in a circuit element, the entropy production is minimized if the current through the n elements is the same. In an electrical circuit, the relaxation to the stationary state is very fast, and nonuniform values of/are not observed. 

Figures 12.1-12.6 show the radical change in EPR particle morphology from reactor powder to pellets, but the relatively static morphology from pellets to fabricated articles. This is due to the great efficiency of commercial-scale corotating twin-screw pelletization extruders (8). The EPR phase is efficiently dispersed and attains the stationary value of particle size, as described by theoretical treatments of droplet breakup and coalescence (13-15). This droplet breakup and coalescence occurs in the molten state of the viscoelastic iPP and EPR, matrix and dispersed phases, in the extruder under a complex strain held, which is a combination of nonuniform, transient shear and elongational helds. Eurther, a variable temperature prohle is used along the barrel of the extruder causing complex variation in the viscoelastic properties of these components.

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