Research Units

Research

Current Research Activities:

• Non-linear dynamics of continuous and discrete systems.
• Hamiltonian mechanics - geometric foundations, symmetries, integrability and chaos.
• Mechanics of media with micro- and nanostructure.
• Non-linear transport theory, thermodynamics of continua.
• Variational principles, symmetries and conservation laws.
• Non-linear electrodynamics, generalized non-linearities of the Born-Infeld type, gauge theories, defects.
• Relativistic theories of continua with astrophysical aspects.
• Quantum and statistical foundations of the theory of continuous media, gases, quantum fluids and phonon gases.
• Non-linear theory of molecular orientation in polymers and experimental verification.
• Kinetics of non-stationary nucleation and crystallization of polymers under variable thermodynamic conditions - theory and experiment.
• Kinetics of polymorphic phase transitions in polymers - theory and experiment.
• Computer simulation of molecular dynamics in polymer systems.
• Mathematical modeling and computer simulation of fibers and nanofibers formation.
• Electrospinning of nanofibers for biotechnological applications.
• Linear and non-linear optical effects in nanophotonic structures.
• Nonspecular effects of reflection and transmission of electromagnetic field.
• Generation, propagation and diffraction of higher-order optical beams and pulses.
• Hermite-Gaussian and Laguerre-Gaussian beams and pulses in resonance dielectric and metamaterial structures.
• Spin and orbital angular momentum, optical vortices, polarization of optical field.
• Generation, propagation and applications of surface plasmon polaritons.
• Nanovisualisation in optical near field, optical trapping of nanoparticles, self-assembling of nanostructures in optical fields.
• Optical solitons, optical bistability.
• Fast and slow optical pulses.
• Ultrasonic sensors for investigations of the physical properties of materials (solids and liquids):
  • measurements of liquid viscosity under high pressures,
  • application of the SH bulk and surface acoustic waves (Love and Bleustein-Gulyaev) for investigation of the rheological parameters of liquids,
  • acoustic sensors for detection and measurement of the concentration of the flammable and hazardous,
  • determination of the elastic parameters of thin solid films.

Key Words:

• deformable bodies, electromagnetic field, transport phenomena, quantum mechanics, phonons, symmetries, conservation laws, relativistic fields and particles;
• molecular orientation, non-linear elastooptics, molecular dynamics, nucleation, crystallization kinetics, non-isothermal crystallization, oriented crystallization, polymorphic phase transitions, computer modeling, electrospinning;
• photonics, plasmonics, spintronics, nanovisualisation, nanomanipulation, optical beams, optical pulses, optical vortices, non-specular effects, optical bi-stability, surface plasmon polaritons, meta-materials, optical resonators, optical concentrators.

Proposed Ph.D. Projects:

Achievements

Apparatus