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C 15

(13.23)

*L. D. Landau, J. Phys. USSR S, 71 (1941).

heat data, one recovers the parameters (13.4), in good agreement with the directh measured values given there. The Landau theory is important because it provides an explicit construction of the two-fluid model near absolute zero. Let us consider the wave function of the liquid. At absolute zero, it is the function '1'0 given approximately in (13.81 This is by definition the pure superfluid, in absolute thermal equilibrium. As the temperature increases, there will be elementary excitations. Let us superimpose the wave functions of elementary excitations of slightly different momenta, so a, to form a wave packet f(r). Then the wave function in which there is one wave packet is

(13.241

where the symmetrization over particle coordinates is required by Bose statistics. The wave functions for two packets f(r) and g(r) present can be represented b\

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in the histogram. When the black line is above the dashed trigger line, there are positive bars in the histogram. As you can see, the trigger points are identical for both studies, but which study you elect to use is strictly personal preference.

Fig. 2.1 Surface of equation of state of a typical substance (not to scale).

P(T), the Gibbs potential of this state must be at a minimum. That is, if any parameters other than T and P are varied slightly, we must have 8G = O. Let us

(2.1)

The total Gibbs potential of the gas-liquid mixture may be represented, with neglect of surface effects, as

16 17

(2.2)

where gl is the Gibbs potential per unit mass of the liquid in state 1 and g2 is that for the gas in state 2. They are also called chemical potentials. They are independent of the total mass of the phases but may depend on the density of the phases (which, however, are not altered when we transfer mass from one phase to the other). Thus

Flg.2.2 P- V and P- T diagrams of a typical substance (not to scale).

peT)

RELATIVE STRENGTH INDEX (RSI)

The condition for equilibrium is then gi = gz (2.3) This condition determines the vapor pressure, as we shall see. The chemical potentials gl(P, T) and gz(P, T) are two state functions of the liquid and gas respectively. Recall that in each phase we have (entropy per unit mass) (volume per unit mass)

(2.4) (2.5)

Gas-

Fig. 2.4 Schematic illustration of a first-order phase transition. The temperature and the pressure of the system remain constant throughout the transition. The total volume of the system changes as the relative amount of the substance in the two phases changes, because the two phases have different densities.

(T constant)

17 16

L...-

first-order phase transition. We see that the first derivative of gl is different from that of g2 at the transition temperature and pressure:

(2.6)

The Relative Strength Index, often shortened to simply RSI, is a study that compares the magnitude of a stock s recent gains to recent losses. The study itself is a single line that is in its own pane, moving up and down between the ranges of 0 (at the bottom) to 100 (at the top). The RSI (Figure 5.25) is very simple to interpret and use: If it drops below 70 (which is marked with a horizontal dashed line), there is a sell signal; and if it goes above 30 (also marked with a dashed horizontal line) there is a buy signal. The path the RSI takes depends completely on the direction and momentum of the security s price. It may bob up and down between the 30 and 70 levels, generating no signals for quite some time. The best RSI indications happen when the study is plainly above or below one of the horizontal lines (Figure 5.26) and makes a decisive move back into the middle range. Unlike slower-moving studies, the RSI is prone to generating many buy and sell signals. In 6, you will learn how to use multiple studies together so they can essentially vote on the predicted direction of a

a(g2-g1)]

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