Dynamic Thinking

Solid waste management builds on dynamic thinking, i.e., seeing the bigger pictnre. It reqnires the ability to rise above functional silos and view the recycling process that links the recycled products. The plastics waste process enables the determination of plausible explanations to be identified, i.e., relationships that are not under the control of a decision within a system should be eliminated from consideration. Essentially, this perspective means viewing plastics 

The plastics waste process helps to identify closed-loop structures and the process of recycling plastics waste does not run in just one direction, but an effect usually feeds back to change one or more of the causes , and that the causes themselves affect each other. It is an important part of the recycling process not to prioritise causes as being most or least important, but rather to understand how waste composition and quantity may change over time. 

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By its nature, the application of direct dynamics requires a detailed knowledge of both molecular dynamics and quantum chemistry. This chapter is aimed more at the quantum chemist who would like to use dynamical methods to expand the tools at theh disposal for the study of photochemistry, rather than at the dynamicist who would like to learn some quantum chemishy. It hies therefore to introduce the concepts and problems of dynamics simulations, shessing that one cannot strictly think of a molecule moving along a trajectory even though this is what is being calculated. 

In this section, the basic theory of molecular dynamics is presented. Starting from the BO approximation to the nuclear Schrddinger equation, the picture of nuclear dynamics is that of an evolving wavepacket. As this picture may be unusual to readers used to thinking about nuclei as classical particles, a few prototypical examples are shown. 

B. Murray, P. Bash, and M. Katplus, Molecular Dynamics on the Connection Machine, Thinking Machines Cotp., Cambridge, Mass., 1989. 

While one is free to think of CA as being nothing more than formal idealizations of partial differential equations, their real power lies in the fact that they represent a large class of exactly computable models since everything is fundamentally discrete, one need never worry about truncations or the slow aciminidatiou of round-off error. Therefore, any dynamical properties observed to be true for such models take on the full strength of theorems [toff77a]. 

Note that while a system s static complexity certainly influences its dynamical complexity, the two measures are clearly not equivalent. A system may be structurally rather simple (i.e. have a low static complexity), but have a complex dynamical behavior. (Think of the chaotic behavior of Feigenbaum s logistic equation, for example). 

Though due to the fact that it is difficult to interprete amplitude dependence of the elastic modulus and to unreliable extrapolation to zero amplitude, the treatment of the data of dynamic measurements requires a special caution, nevertheless simplicity of dynamic measurements calls attention. Therefore it is important to find an adequate interpretation of the obtained results. Even if we think that we have managed to measure correctly the dependences G ( ) and G"( ), as we have spoken above, the treatment of a peculiar behavior of the G (to) dependence in the region of low frequencies (Fig. 5) as a yield stress is debatable. But since such an unusual behavior of dynamic functions is observed, a molecular mechanism corresponding to it must be established. 

Like all chemical equilibria, this equilibrium is dynamic and we should think of protons as ceaselessly exchanging between HCN and H20 molecules, with a constant but low concentration of CN and H30+ ions. The proton transfer reaction of a strong acid, such as HCl, in water is also dynamic, but the equilibrium lies so strongly in favor of products that we represent it just by its forward reaction with a single arrow. 

To summarise in authentic tasks, we have established that stmcture-property relations can be described by a dynamic system of stmctures, properties and their interrelations. Within the limits of our study we have derived a generalised conceptual schema, which we expect to be useful to teach macro-micro problems in which stmcture-property relations can be explicitly used (Figs. 9.2, 9.3 and 9.4). The system of nested stmctures, systematically assigned to appropriate scales, and the properties of the different stmctural components reveal a conceptual schema necessary for macro-micro thinking. The system of relevant nested stmctures and the explicit relations between stmctures and properties form the backbone of macro-micro reasoning. Depending on the task, a number of different meso-levels are relevant and... 

The observation of the system NO2/N2O4 provided essential empirical evidence to support the idea that the reactant and product could coexist. According to the questions posed in the activity, this evidence could not only be made explicit in the representation of their models but also be explained by the models. The students who were able to establish relationships between the movement of molecules and the occurrence of a chemical reaction (according to the kinetic particle model that had been studied earlier), were also able to include dynamic components in their models. Those who were not able to do so had the opportunity to think about this from the general discussion of the models - when all groups presented and justified their ideas - or from other empirical evidence that was obtained next. 

Based on the shapes of the responses to step changes in controller output, and reasoning from the physical configuration of the extruder barrel, a reduced order dynamic model of the process was postulated. One can think of the Topaz program as order 80 (the number of nodes in the finite element subdivision), and the reduced model of order 4 (the number of dynamic variables). The figure below illustrates the model. 

Sterman ID. Business dynamics systems thinking and modeling for a complex world. McGraw-Hill/Irwin, 2000. 

This step is important because chemical equilibria are dynamic Interactions among molecules and ions. The key to success in working with equilibria is to think molecules (and Ions). When solid LiF is added to water (Figure 1640a), the species present before any reaction occurs are LiF( ) and H2 0(/). 

Once the mechanisms of dynamic processes are understood, it becomes possible to think about controlling them so that we can make desirable processes to occur more efficiently. Especially when we use a laser field, nonadiabatic transitions are induced among the so-called dressed states and we can control the transitions among them by appropriately designing the laser parameters [33 1]. The dressed states mean molecular potential energy curves shifted up or down by the amount of photon energy. Even the ordinary type of photoexcitation can be... 

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