Calculation of thermodynamic properties of two-dimensional liquid helium-3

Document Type : Full length research Paper

Author

Professor of Physics/Shiraz University

Abstract

We have used a many-body method based on the cluster expansion of the energy to calculate the free energy, entropy, equation of state, heat capacity and incompressibility of the two dimensional liquid helium-3. In these calculations, we have used the Lennard-Jones potential as the inter atomic interaction. Our calculations show that the free energy increases by increasing the density, and decreases by increasing temperature. We have also shown that the two dimensional liquid helium-3 has no bond state. Our results indicate that the equation of state of the system becomes stiffer as the temperature increases. For heat capacity, it was seen that reaches the limiting value 1 k_B at high temperatures. This means that our system has a behavior the same as two dimensional classical ideal gas. Also, our results have shown that as the density and temperature increase, the system becomes more incompressible.

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