Thermodynamic Properties of the Two-Dimensional Two-Component Plasma
نویسنده
چکیده
The model under consideration is a two-dimensional two-component plasma, stable against collapse for the dimensionless coupling constant β < 2. The combination of a technique of renormalized Mayer expansion with the mapping onto the sine-Gordon theory provides the full thermodynamics of the plasma in the whole stability range of β. The explicit forms of the density-fugacity relationship and of the specific heat (at constant volume) per particle are presented. PACS numbers: 52.25.Kn, 61.20.Gy, 05.90.+m 1
منابع مشابه
STATISTICAL-MECHANICAL CALCULATION OF THERMODYNAMIC PROPERTIES OF ALBITE USING A TWO-DIMENSIONAL MODEL
متن کامل
Calculation of Thermodynamic Properties of the Quasi-one Dimensional Liquid 3He at Finite Temperature
We have used a variational approach to calculate some thermodynamic properties of the quasi-one dimensional liquid 3He such as the energy, entropy, free energy, equation of state and heat capacity at finite temperature. We have employed the Lennard-Jones potential as the inter-atomic interaction. We have seen that the total energy increases by increasing both temperature and density....
متن کاملTwo-dimensional two-component plasma with adsorbing impurities
We study the behavior of the two-dimensional two-component plasma in the presence of some adsorbing impurities. Using a solvable model, we find analytic expressions for the thermodynamic properties of the plasma such as the n-body densities, the grand potential, and the pressure. We specialize in the case where there are one or two adsorbing point impurities in the plasma, and in the case where...
متن کاملFluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition.
We study the distribution of the mean radial displacement of charges of a two-dimensional (2D) one-component plasma in the thermodynamic limit N→∞ at finite temperature β>0. We compute explicitly the large deviation functions showing the emergence of a fourth-order phase transition as a consequence of a change of topology in the plasma distribution. This weak phase transition occurs exactly at ...
متن کاملar X iv : c on d - m at / 9 80 13 22 v 2 2 0 M ar 1 99 8 Two - Dimensional Coulomb Systems on a Surface of Constant Negative Curvature
We study the equilibrium statistical mechanics of classical two-dimensional Coulomb systems living on a pseudosphere (an infinite surface of constant negative curvature). The Coulomb potential created by one point charge exists and goes to zero at infinity. The pressure can be expanded as a series in integer powers of the density (the virial expansion). The correlation functions have a thermody...
متن کامل