Finding mesoscopic communities in sparse networks

We suggest a fast method to find possibly overlapping network communities of a desired size and link density. Our method is a natural generalization of the finite-$T$ superparamegnetic Potts clustering introduced by Blatt, Wiseman, and Domany (Phys. Rev. Lett. v.76, 3251 (1996) and the recently suggested by Reichard and Bornholdt (Phys. Rev. Lett. v.93, 21870 (2004)) annealing of Potts model with global antiferromagnetic term. Similarly to both preceding works, the proposed generalization is based on ordering of ferromagnetic Potts model; the novelty of the proposed approach lies in the adjustable dependence of the antiferromagnetic term on the population of each Potts state, which interpolates between the two previously considered cases. This adjustability allows to empirically tune the algorithm to detect the maximum number of communities of the given size and link density. We illustrate the method by detecting protein complexes in high-throughput protein binding networks.Comment: 8 pages, 2 figure, typos corrected, 1 figure adde

Evidence for Kinetic Limitations as a Controlling Factor of Ge Pyramid Formation: a Study of Structural Features of Ge/Si(001) Wetting Layer Formed by Ge Deposition at Room Temperature Followed by Annealing at 600 {\deg}C

The article presents an experimental study of an issue of whether the formation of arrays of Ge quantum dots on the Si(001) surface is an equilibrium process or it is kinetically controlled. We deposited Ge on Si(001) at the room temperature and explored crystallization of the disordered Ge film as a result of annealing at 600 {\deg}C. The experiment has demonstrated that the Ge/Si(001) film formed in the conditions of an isolated system consists of the standard patched wetting layer and large droplike clusters of Ge rather than of huts or domes which appear when a film is grown in a flux of Ge atoms arriving on its surface. We conclude that the growth of the pyramids appearing at temperatures greater than 600 {\deg}C is controlled by kinetics rather than thermodynamic equilibrium whereas the wetting layer is an equilibrium structure.Comment: Accepted for publication in Nanoscale Research Letter

The forming factors of high values of superconducting transition temperature Tc in 3d-transition metal compounds. III. Quantum mechanic relaxational model for calculation of the values of superconducting transition temperature Tc

Within this work is shown that the method of calculation of temperature of loss of stability of an electronic subsystem (ionization temperature) can be used as method of estimation of temperature of transition to a superconducting state in 3dmetal row compounds. © 2013 Elmira Yuryeva and Anatoliy Yuryev

The forming factors of high values of superconducting transition temperature Tc in 3d-Transition metal compounds. I. The main groups of known superconductors

The review of modern known groups of superconductors is presented. The main classification rule is the type of chemical bonding. The factors of forming superconducting transition temperature are impurities and the external pressure. © 2013 Elmira Yuryeva and Anatoliy Yuryev