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Tbilisi, Georgia

Ilia State University , located in Tbilisi, Georgia, is a higher education institution, established in 2006 as a merger of six different educational and research institutions.According to the 2013 Webometrics Ranking of World Universities, which ranks university websites, Ilia State University maintains the first place in Georgia , as well as the first place in the Caucasus. Wikipedia.

In this paper the coupled linear theory of thermoelasticity for solids with double porosity is considered. The governing system of field equations of this theory is based on motion equations, conservation of fluid mass, constitutive equations, extended Darcy’s law for materials with double porosity and Fourier’s law for heat conduction. A wide class of the basic internal and external boundary value problems (BVPs) of steady vibrations is formulated and uniqueness theorems for regular (classical) solutions of these BVPs are proved. © Springer Science+Business Media Dordrecht 2014. Source

For active galactic nuclei (AGNs), we study the role of the mechanism of quasi-linear diffusion (QLD) in producing the high-energy emission in the MeV-GeV domains strongly connected with the submillimeter/infrared radiation. Considering the kinetic equation governing the stationary regime of the QLD, we investigate the feedback of the diffusion on electrons. We show that this process leads to the distribution of particles by pitch angles, implying that the synchrotron mechanism is no longer prevented by energy losses. Examining a reasonable interval of physical parameters, we show that it is possible to produce MeV-GeV γ -rays that are strongly correlated with submillimeter/infrared bands. © 2010. The American Astronomical Society. All rights reserved. Source

Maziashvili M.,Ilia State University
Fortschritte der Physik

After picking out what may seem more realistic minimal gravitational deformation of quantum mechanics, we study its back reaction on gravity. The large distance behaviour of Newtonian potential coincides with the result obtained by using of effective field theory approach to general relativity (the correction proves to be of repulsive nature). The short distance corrections result in Planck mass black hole remnants with zero temperature. The deformation of position-momentum uncertainty relations leads to the superluminal motion that can be avoided by making similar deformation of time-energy uncertainty relation. Such deformation also avoids UV divergences in QFT. © 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. Source

Maziashvili M.,Ilia State University
Physical Review D - Particles, Fields, Gravitation and Cosmology

We present Hilbert space representation for a relatively broad class of minimum-length deformed quantum mechanical models obtained by incorporating a space-time uncertainty relation into quantum mechanics. The correspondingly modified field theory is used for estimating the deviation of the light incoherence rate from distant astrophysical sources from the standard case. © 2012 American Physical Society. Source

Maziashvili M.,Ilia State University
Physical Review D - Particles, Fields, Gravitation and Cosmology

The effect of string- and quantum-gravity-inspired minimum-length deformed quantization on a free, massless scalar field is studied on the de Sitter background at the level of second quantization. An analytic solution of a field operator is obtained to the first order in deformation parameter. Using this solution, we then estimate the two-point and four-point correlation functions (with respect to the Bunch-Davies vacuum). The field operator shows up a nonlinear dependence on creation and annihilation operators, therefore the perturbation spectrum proves to be non-Gaussian. The correction to the power spectrum is of the same order as obtained previously in a similar study that incorporates the minimum-length deformed momentum operator into the first quantization picture and then proceeds in the standard way for second quantization. The non-Gaussianity comes at the level of four-point correlation function; its magnitude appears to be suppressed by the factor ∼exp(-6N), where N is the number of e-foldings. © 2012 American Physical Society. Source

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