Skip to main navigation Skip to main content Skip to page footer

Department of Physics

18901

18901  Nanostructures and Biomaterials     

Course webpage: https://eclass.uoa.gr/courses/PHYS272/

Course Content

  • Nanofluidity, Navier-Stokes equation in microworld, Stokes flow, boundary conditions, symmetry of motion and scallop theorem, movement in low Reynolds numbers, ways of motion in the biological microcosm, efficiency coefficient of Stokes-type motion.
  • Stochastic motion, Langevin's equation, characteristic times, correlation function of Brownian motion, fluctuation-dissipation theorem, Kubo's theorem, diffusion with source and polarization, Fokker-Planck equation, Kramers theory, first passage time, intermediate states.
  • Molecular machines, active systems, mechano-chemical coupling, kinetic equations, kinesin biochemical circle, ionic channels, actine polymerization, fibrils, mechanical models of motion, helix-coil transition in DNA.
  • Tight Binding. Electronic structure of nucleic acid bases and similar molecules.: Tight Binding. Electronic structure of nucleic acids, heterocyclic molecules, analytically, numerically. Transition dipole moment, ionization, excitation. Multilevel, time-independently, time-dependently. Dispersion, bands, subbands, gaps, effective mass, density of states. Combination of atomic (DNA bases) and molecular (DNA base pairs) orbitals. Hückel, Harrison, Slater-Koster. Interaction integrals between bases and base pairs. Benzene, triazine with valence orbitals. Hybridization.
  • Charge transfer in DNA and atomic wires: Electronic structure of nucleic acids, macromolecules, atomic carbon or carbon-nitrogen wires. Tight Binding model variations (wire, ladder, fishbone). 2nd quantization formalism.
  • Low-dimensional systems (quantum wells, wires, dots): electronic states and transport: Heterostructures. Quantum wells, wires, dots. Electronic states, density of states. Slater theorem, envelope function, effective mass equation, BenDaniel-Duke equation. Self-consistency. Magnetic field: Landau levels, Fock-Darwin spectrum. Boltzmann transport, mobility, conductivity, scattering mechanisms. Quantum transport: diffusive, ballistic transport, Landauer-Buttiker formalism.
  • Simulation Lab: Calculation of the electronic structure of molecules with linear combination of atomic orbitals.