MICRO AND NANOSCALE SYSTEMS - Foundations of Nanotechnology: Pore Size in Carbon-Based Nano-Adsorbents - page 180

FIGURE 2.2 Schematic of particles.

F ( r − r )

- Force acting on the i i-th molecule from the j i-th mol-

H − H i j

2 2

ecule.

The coordinates of the molecules are distributed regularly in the space. The

velocities of the molecules are distributed according to the Maxwell equilibrium
distribution function according to the temperature of the system:

3

b 1

( )

( )

( )

f uvw , , = exp −b

22

u + v

2

+ w

2

, b =

3 2

2 RT

π
The macroscopic flow parameters are calculated from the distribution of posi-
tions and velocities of the molecules:

1

== ∑

Vv v

i i

n

i

nm
V

r=

0

3 1

2

RT = =− v

l

, v

l

v V

i i i

2 2