Sentence examples for class particles from inspiring English sources

The phase transition point and the spatial correlations between the first class particles are calculated exactly.

By assigning the fugacity z to the first class particles in a grand canonical ensemble, we shall find the exact phase structure and calculate the density profile and the correlations of the first class particles precisely.

The model consists of a finite number of first class particles in the presence of a second class particle.

end{aligned} (22 The density of the first class particles increases exponentially from the vicinity of the second-class particle.

In the thermodynamic limit the density of the first class particles (langle rho _irangle) behaves as (18) far from the second class particle.

While the first class particles can only hop forward, the second class particle is able to hop both forward and backward with specific rates.

In Figs. 1 and 2 exact expression of the density of the first-class particles and its thermodynamic limit are plotted as a function of the fugacity z.

Note that the mutual volume fractions were defined the volume fraction of each-class particles divided by the total volume fraction of all particles.

The model consists of a single particle of type A (called the second-class particle) and (M-1) particles of type B (called the first-class particles).

end{aligned} (16 The fugacity z has to be fixed by density of the first-class particles which is given by the following equation begin{aligned} rho (z)=frac{z}{t}frac{partial }{partial z}ln Z_t p,q,z).

According to (17), it can be seen that the density of the first-class particles in the vicinity of (z_c) can be expressed as (rho propto (z-z_c)^{-1}).