Title: A phase transition in a Curie-Weiss system with binary interactions
Author(s):

	Yu.V. Kozitsky (Institute of Mathematics, Maria Curie-Skłodowska University, Plac Marii Curie-Skłodowskiej 1, Lublin 20-031, Poland),
	M.P. Kozlovskii (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine),
	O.A. Dobush (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine)

A single-sort continuum Curie-Weiss system of interacting particles is studied. The particles are placed in the space  ^d divided into congruent cubic cells. For a region V ⊂  ^d consisting of N ∈ cells, each two particles contained in V attract each other with intensity J₁/N. The particles contained in the same cell are subject to binary repulsion with intensity J₂ > J₁. For fixed values of the temperature, the interaction intensities and the chemical potential, the thermodynamic phase is defined as a probability measure on the space of occupation numbers of cells, determined by a condition, typical to Curie-Weiss theories. There is proved that the half-plane J₁ × chemical potential contains phase coexistence points at which two thermodynamic phases of the system exist. An equation of state for this system is obtained.

Key words: equation of state, phase coexistence, mean field

Full text [pdf]

<< List of papers