Teaching CSIR NET Mock Test Series Physical Sciences Thermodynamic and Statistical Physics Laws of Thermodynamics and Their Consequences
Two electrons in thermal equilibrium at temperature T = kB/β can occupy two sites. The energy of the configuration in which they occupy the different sites is JS1.S2 (where J > 0 is a constant and S denotes the spin of an electron), while it is U if they are at the same site. If U = 10J, the probability for the system to be in the first excited state is
1
\(e^{-3 \beta J / 4} /\left(3 e^{\beta J / 4}+e^{-3 \beta J / 4}+2 e^{-10 \beta J}\right)\)
2
\(3 e^{-\beta J / 4} /\left(3 e^{-\beta J / 4}+e^{3 \beta J / 4}+2 e^{-10 \beta J}\right)\)
3
\(e^{-\beta J / 4} /\left(2 e^{-\beta J / 4}+3 e^{3 \beta J / 4}+2 e^{-10 \beta J}\right)\)
4
\(3 e^{-3 \beta J / 4} /\left(2 e^{\beta J / 4}+3 e^{-3 \beta J / 4}+2 e^{-10 \beta J}\right)\)