Slavin V. An influence of collective effects on the thermodynamic and kinetic properties of low-dimensional discrete lattice systems

The objects of study are one- and two-dimensional discrete lattice systems of Generalized Wigner Crystal type, quasi-one-dimensional magnets. Methods of research are Darwin-Fowler method, computer Monte-Carlo method and Kramers-Wannier method. The thermodynamics of one-dimensional Generalized Wigner Crystal is developed. The ground state structure and low-temperature thermodynamics of one-dimensional electron system on disordered host-lattice are studied. The properties of excitation relaxation on one-dimensional host-lattice are studied. The ground state structure of two-dimensional Generalized Wigner Crystal is found. The structure of elementary excitation in such systems is examined.