Abstract
The influence of lattice structure defects on phase transition phenomena was studied in framework of 2D spin model. Effective mass of defect was proposed for investigation of conformal properties of the model at critical point. The volume dependence of defect’s mass at critical point and the Critical Casimir interaction of two defects were studied. It was shown that this Casimir interaction is attraction for any value of hopping parameter. The confinement of the defect on the defects line and the process of defects line collapse were studied. Applications in nanophysics and biophysics were discussed.
Highlights
The main goal of our work is an investigation of the critical Casimir effect in a number of defects’ structures in 2D Ising model
The critical Casimir effect is a back-reaction of the thermal fluctuations of the medium on the factors that have violated the system homogeneity at critical temperatures
We focus our intention on the problem of Casimir interaction of defects
Summary
The main goal of our work is an investigation of the critical Casimir effect in a number of defects’ structures in 2D Ising model. In critical Casimir effect thermal fluctuations of a statistical system act as quantum vacuum ones. The analogy between origin of thermal fluctuation forces and quantum Casimir forces is discussed in [3] This phenomena becomes the most apparent at critical point where scale invariance takes place. Protein inclusions in cellular membrane are modeled Another approach to the study of the properties of critical Casimir effect in biophysical problems is developed in work [7]. The authors of the article proposed that this ensures the interaction of biological structures by Casimir forces at large distances They calculate the interaction forces potential of membrane inclusions. We determine a defect line by putting defects next to each other
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