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Microscopic particle statics and dynamics

We next turn to the statics and dynamics of a microscopic particle. [Pg.185]

Thus, microscopic particle statics is very similar to and hardly more complex than macroscopic particle statics. We will see, however, that the similarity of microscopic and macroscopic particle behavior will not persist when we move from statics to dynamics. [Pg.187]

In Section II we compare particle mechanics in the slow and fast variable timescale regimes. We start the discussion by showing the following. For damped macroscopic particles, the potential energy function whose minima locate the particle s points of static equilibrium also produces the forces which drive its dynamics. For damped microscopic particles, in contrast, the potential that determines the particle s statics may or may not produce the forces that drive its dynamics. [Pg.183]

However, before turning to dynamics, we note that microscopic and macroscopic statics actually do difler in one significant way. This occurs because only a particle of molecular size is sensibly affected by microscopic fluid fluctuations like those noted after Eq. (3.7). [Pg.187]

Within the context of cross-scaling systems, they are homogeneous with both microscopic molecular dynamics and macroscopic smoothed particle hydrodynamics techniques. From a numerical standpoint, we do not need to switch over from particles to a static grid with control parameters, such as the Knudsen number. [Pg.772]

The equilibrium is dynamic, not static. At the sub-microscopic level the particles present continue to take part in the forward and reverse processes. [Pg.228]

Independently of the degree of our understanding of molecular behavior, one thing we can acc t the microscopic picture of a fluid is not a static but a dynamic one, with the particles moving continuously among the vast number of quantum states, compatible with the available energy levels (Example 16.2 and Section 16.4). [Pg.592]


See other pages where Microscopic particle statics and dynamics is mentioned: [Pg.185]    [Pg.185]    [Pg.2355]    [Pg.18]    [Pg.5]    [Pg.910]    [Pg.152]    [Pg.62]    [Pg.298]    [Pg.318]    [Pg.5]    [Pg.140]    [Pg.624]    [Pg.69]    [Pg.10]    [Pg.371]    [Pg.379]    [Pg.137]    [Pg.35]    [Pg.50]    [Pg.258]    [Pg.739]    [Pg.115]    [Pg.30]   
See also in sourсe #XX -- [ Pg.184 , Pg.185 , Pg.186 , Pg.187 , Pg.188 ]




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