A classical model of Brownian motion consists of a heavy molecule submerged into a gas of light atoms in a closed container. In this work we study a 2D version of this model, where the molecule is a heavy disk of mass M ≫ 1 and the gas is represented by just one point particle of mass m = 1, which interacts with the disk and the walls of the container via elastic collisions. Chaotic behavior of...

We study classical solutions of the vector O(3) sigma model in (2 + 1) dimensions, spontaneously broken to O(2) × Z2. The model possesses Skyrmion-type solutions as well as stable domain walls which connect different vacua. We show that different types of waves can propagate on the wall, including waves carrying a topological charge. The domain wall can also absorb Skyrmions and, under appropri...

The present study aimed to test the function of the exocentric view on the acquisition of survey knowledge during spatial navigation in a virtual multilevel building. Subjects navigated a virtual three-level building in three conditions. In the first condition, subjects navigated the building without any aid. In the second condition, subjects navigated the building with the aid of a three-dimen...

In this paper a simple model of a three story building with inclined first-story columns has presented. The stories are supposed to be rigid and are connected to axially rigid mass less columns by elasto-plastic rotational springs and linear rotational dampers. The considered model is subjected to horizontal component of fault normal pulse with different magnitudes and the governed nonlinear di...