That the terminal acceleration should most likely vanish is true almost by definition of the steady state the system returns to equilibrium with a constant velocity that is proportional to the initial displacement, and hence the acceleration must be zero. It is stressed that this result only holds in the intermediate regime, for x not too large. Hence and in particular, this constant velocity (linear decrease in displacement with time) is not inconsistent with the exponential return to equilibrium that is conventionally predicted by the Langevin equation, since the present analysis cannot be extrapolated directly beyond the small time regime where the exponential can be approximated by a linear function. [Pg.20]

Coarse-grained approaches, multiparticle collision dynamics, 90-92 Coarse velocity, linear thermodynamics, regression theorem, 18-20 Coherence spectroscopy, two-pathway excitation ... [Pg.278]

Terminal velocity, linear thermodynamics intermediate regimes and maximum flux, 25-27 regression theorem, 18-20 Test particle density, multiparticle collision dynamics, macroscopic laws and transport coefficients, 100-104 Thermodynamic variables heat flow, 58-60... [Pg.287]

Farmer s experiments were repeated and extended by Garner and Hailes [41]. They examined the behaviour of mercury fulminate at about 100°C and came to the conclusion that during the initial induction period, decomposition is accompanied by a slow evolution of gas at a constant velocity (linear decomposition). At the end of this phase the main decomposition period begins with an increased rate of gas evolution. The authors noticed that if the fulminate is finely ground, rapid evolution of gas begins at once, without any initial period. [Pg.142]

First we need to define several quantities which enter into our discussion of the classical mechanics of the system. The symbols mk, Vk, Pk, Pk denote the mass, velocity, linear momentum and time rate of change of the linear momentum of the /cth particle in the laboratory-fixed frame. We remember that the momentum is defined by... [Pg.397]

FIGURE 9.1. The real part of the nondimensional nozzle admittance yyJMi as a function of the nondimensional frequency k for various values of the nozzle-entrance Mach number M, with y = 1.2 for longitudinal modes in a nozzle having a velocity linear with distance [20]. [Pg.307]

A slit shaped beam brings light on to the chromatoplate. The plate lies on a table which moves with an adjustable constant velocity linearly under the slit. This procedure is also called linear scan in the literature. For circular or anticircular developed... [Pg.100]

Note cm/h flow velocity (linear flow rate) = volumetric flow rate/cross... [Pg.18]

Males no differences between exposed and control groups in sperm concentration, motile sperm concentration, percentage motility, velocity, linearity, maximal ALH, mean ALH, beat/cross frequency, mean radius, number of circular cells, percentage circular cells/motile cells, and percentage circular cells/all cells no effect on fertility of unexposed female mating partners... [Pg.115]

Figure 4. Steady-state transition from trickling to pulsing flow as a function of superficial gas velocity ( superficial velocity linear velocity)... |

The precise levelling network adjustment in mining subsidence regions will produce representative results only when some conditions are fulfilled. The test network of known kinematics was treated by the joint height coordinate and height velocity linear adjustment model. The presented results proved the model s compatibility. Well-timed series of observations anticipate its effective use. [Pg.214]

Particle diameter. Plates at low Plates at high Linear velocity Linear velocity... [Pg.1627]

By using this equation together with Equation H2.2 that gives the velocity (linear case) and Equation H2.4 that gives the mechanical dipole energy variation, the kinetic (inductive) energy is obtained by simple integration ... [Pg.523]

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