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EN
Random lasers are unique systems where lasing occurs due to repetitive scattering in a disordered nanostructure. Previous descriptions of random lasing are numerous, however a full time-dependent theory that describes the introduction of gain directly from first principles is lacking in the literature. This paper will present an analytic self-consistent time-dependent theory of random lasing that contains the results from the well-known steady-state ab initio laser theory. This theory can also describe a number of temporal phenomena that have been observed in previous experiments and facilitates the incorporation of these devices into their envisioned practical applications.
EN
In this work, the Cosserat medium is analyzes as a set of atoms. These atoms are under the action of a mechanical load. The statistical analysis is preceded by a description of a single atom using classical mechanics and quantum mechanics. The behavior of the atoms in the field generated by mechanical change of the interatomic distance is shown as a phenomenon which can explain the Cosserat mechanics in a continuum.
EN
Material media containing dense distributions of linear, string-like objects are considered. Dislocation lines in structured solids and supercurrent vortices in type-II superconductors are exemplifications of such objects. The strings are assumed to carry a quantized Abelian topological charge, such as the Burgers vector or magnetic flux. The basic formulations of statistical physics of such systems are discussed. Contrary to the special cases of rectilinear strings, which reduce effectively to 2D systems of point-like particles, the statistical physics of 3D networks of flexible strings is treated on a stand alone basis from the first principles. The presented description takes into account the quenched, thermal, and quantum disorder in a unified way. Implications for the macroscopic setting are discussed.
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