Zoran Borjan
University of Belgrade, Serbia
Title: Primary scaling densities in the critical adsorption of Ising systems
Biography
Biography: Zoran Borjan
Abstract
Critical adsorption of Ising systems in the presence of normal surface universality class is considered along the critical isochore, near coexistence and along the critical isotherm in cases of energy density and order-parameter and energy density, respectively. The problem is treated theoretically and by Monte-Carlo simulation method in spatial dimensions d=2, d=3 and theoretically in the mean-field limit. Excellent agreement between theory and the Monte-Carlo method is achieved within the study in d=3. Primary scaling densities such as order parameter and energy density manifest monotone behaviors with the relevant exception of non-monotone behaviors of energy density whenever an interface is present in systems. Two-dimensional analysis along the critical isotherm points to a new characteristic of low-dimensional Ising systems consisting of the interface de-localization. Above results are relevant to binary liquid mixtures, liquid-gas systems, ferromagnets, binary alloys and other physical systems of the Ising universality class near their corresponding critical points.