Choose the initial distribution:
step_function_1
step_function_2
chaotic
time= 0.00
x:undefined,y:undefined
x:undefined,y:undefined
0
10
20
30
40
50
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
300
320
velocity-magnitude
number of particles N(v)
Velocity-Distribution of the particles
p-p interaction scope intS=
Mean energy E=
b=1/E= 0.0050
Maxwell-Boltzmann distribution
x:undefined,y:undefined
0
2
4
6
8
10
-5.0
-4.5
-4.0
-3.5
-3.0
-2.5
-2.0
-1.5
-1.0
-0.5
0.0
time t= 0.00
Boltzmann H-functional
The Boltzmann H-functional
Maxwell-Boltzmann distribution:
x:undefined,y:undefined
0
2
4
6
8
10
0
12000
24000
36000
48000
60000
72000
time
energy
Measurement of the total energy over time
p-p interaction scope intS=
Mean energy E=
b=1/E= 0.0050
Title and author:
The Boltzmann model for a 2-dimensional gas
kostaspapamichalis
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