Figure 5. The same forces are applied at other points and the stick rotates—in fact, it experiences an accelerated rotation. Here net F = 0 but the system is not at equilibrium. Hence, the net F = 0 is a necessary—but not sufficient—condition for achieving equilibrium. PhET Exploration...
aMost of the real systems we know live at the boundary between complexity and chaos. A situation frequently called edge of chaos, where a system is in a condition of fragile equilibrium, on the threshold of collapsing into a rapidly changing state, which may set off a new dynamic phase (...
We'll use the second-order differential equation from Example 1.3.2, y″+y=0, which has the two-parameter family of solutions y(t)=c1cost+c2sint. Now let's see what happens if we impose the boundary conditions y(0)=1, y(π)=1. The first condition implies that 1=y(0)...
1. the act of equating or making equal. 2. the state of being equated or equal. 3. equally balanced state; equilibrium. 4. an expression or a proposition, often algebraic, asserting the equality of two quantities. 5. a symbolic representation in chemistry showing the kind and amount...
of the first-passage time distribution in the partition function. The corresponding partition function is divided into multipliers, one of which is associated with the equilibrium parameters, and the second one with the parameters of the first-passage time distribution. The thermodynamic parameter ...
In the operating condition of this reactor, the following undesired reaction also takes place: A→UrU=0.003CA1+105CAmolU/L.s The undesired product U is a pollutant and it costs 10 $/mol U to dispose of it, while the desired product D has a value of 35 $/mol D. What size of the...
The presence of a concentration or chemical potential gradient in the medium is not the only condition under which diffusion occurs. The action of an external electrical field causes the diffusion of charged particles (electrodiffusion), the action of the gravitational field or pressure causes barodi...
Our theory can be generalized to the case of an isotropic Gaussian random processx(t) evolving in a space of dimensiond > 1. In this case, to define the survival probability we replace the condition of reaching a threshold by the condition of reaching a target. To the best of our ...
At the same time, the wells treated with scale inhibitor have provided not only sustained production but also a fourfold reduction in operating cost, confirming the success of the pilot project.The prerequisite condition for the formation of scale is supersaturation of the scaling minerals in the ...
The Marxian theory of alienation is intimately connected to commodity production and, in particular, the monetary exchange economy. Alienation to Marx was an objective condition coexistent with commodity production,that is, the separation of production from use. It is not a psychological or subjective...