arXiv subjects

Sergey S. Poghosyan

Publications and source records attributed to Sergey S. Poghosyan.

3 recordsLinked to original sources

arXiv2016

Spiral orbits and oscillations in historical evolution of empires

We introduce the concept of metaasabiya, the second non-material resource, to the asabiya theory of historical dynamics. We find that the resulting three variable dynamical system has peculiar features such as repelling or attracting axes and spiralling orbits in the phase space. Depending on the initial state, the system can go through series of oscillatory rises and falls, mimicking the geopolitical evolution of real-world polities. These distinctive features, absent in conventional Lotka-Volterra type biological systems, reveal the hidden richness inherent in the asabiya theory.

physics.soc-ph↗

arXiv2015

Asymmetric quantum transport in a double-stranded Kronig-Penney model

We introduce a double-stranded Kronig-Penney model and analyze its transport properties. The asymmetric fluxes between two strands with suddenly alternating localization patterns are found as the energy is varied. The zero-size limit of the internal lines connecting two strands is examined using quantum graph vertices with four edges. We also consider a two-dimensional Kronig-Penney lattice with two types of alternating layers with $δ$ and $δ'$ connections, and show that the existence of energy bands in which the quantum flux can flow only in selected directions.

quant-ph↗

arXiv2014

Quantum graph vertices with minimal number of passbands

We study a set of scattering matrices of quantum graphs containing minimal number of passbands, i.e., maximal number of zero elements. The cases of even and odd vertex degree are considered. Using a solution of inverse scattering problem, we reconstruct boundary conditions of scale-invariant vertex couplings. Potential-controlled universal flat filtering properties are found for considered types of vertex couplings. Obtained boundary conditions are approximated by simple graphs carrying only $δ$ potentials and inner magnetic field.

quant-ph↗