Thermodynamics Properties of Confined Particles on Noncommutative Plane

Rachid Houça,Ahmed Jellal

Fig.4 (Color online) The number ratio ${N_0/ N}$ versus the temperature ratio ${T/ T_0}$. (a) For commutative $\theta\simeq0$ and noncommutative $\theta\simeq 1$ with $N=200$. (b) For $\theta\simeq0$ and tree different values of number of particles $N=200$, 2000, 200 00, with the unit systems $k_{ B}=\hbar=\omega=m=\mu=1$.