Search results for "classical"
showing 10 items of 2294 documents
On the dynamics of dislocation patterning
1997
Recent computer simulations on dislocation patterning have provided remarkable results in accordance with empirical laws. Moreover, several analytical models on dislocation dynamics have provided qualitative insight on dislocation patterning. However, a model, based on partial differential equations, which gives a dynamical evolution of dislocation patterns in function of measurable variables still missing. Here, we give a re-formulation of a model proposed some years ago. From this formulation, we obtained that the onset of a dislocation instability is related to the applied stress. The analytical and numerical results reported are partial and studies on this direction are under developmen…
Optical Phonons in Quasi-One Dimensional Semiconductors
1993
A lagrangian formalism is systematically established for the treatment of long wavelength polar optical oscillations in quantum wires modeling the system as a macroscopic continuum. Fundamental equations for the vector displacement u and the electric potential ϕ are rigorously derived in the form of four coupled second order partial differential equations. Matching boundary conditions at the interfaces are also rigorously deduced from the fundamental equations and it is proved that no incompatibility between the mechanical and electrostatic matching boundary conditions exists. The case of AlAs-GaAs quantum wires with cylindrical symmetry is discussed.
Comparison of different boost transformations for the calculation of form factors in relativistic quantum mechanics
2002
The effect of different boost expressions, pertinent to the instant, front and point forms of relativistic quantum mechanics, is considered for the calculation of the ground-state form factor of a two-body system in simple scalar models. Results with a Galilean boost as well as an explicitly covariant calculation based on the Bethe-Salpeter approach are given for comparison. It is found that the present so-called point-form calculations of form factors strongly deviate from all the other ones. This suggests that the formalism which underlies them requires further elaboration. A proposition in this sense is made.
Photoproduction of pions at low energy
1980
Presented in this paper is a field theory model for photoproduction of pions at low energy. In particular, it is shown that certain interaction terms, which were previously considered to be essential in order to explain the experimental situation corresponding to the spin-3/2 resonances, are really unnecessary and that the presence of these terms are not justifiable from the theoretical point of view. Further, the free parameters in the theory representing the off-mass-shell effects of the spin-3/2 particles are fixed on the basis of theoretical considerations.
Deforming D-brane models on T6/(Z2×Z2M) orbifolds
2016
We review the stabilisation of complex structure moduli in Type IIA orientifolds, especially on with discrete torsion, via deformations of orbifold singularities. While D6-branes in SO(2N) and USp(2N) models always preserve supersymmetry and thus give rise to flat directions, in an exemplary Pati-Salam model with only U(N) gauge groups ten out of the 15 deformation moduli can be stabilised at the orbifold point.
Exact non-Hookean scaling of cylindrically bent elastic sheets and the large-amplitude pendulum
2010
A sheet of elastic foil rolled into a cylinder and deformed between two parallel plates acts as a non-Hookean spring if deformed normally to the axis. For large deformations the elastic force shows an interesting inverse squares dependence on the interplate distance [Siber and Buljan, arXiv:1007.4699 (2010)]. The phenomenon has been used as a basis for an experimental problem at the 41st International Physics Olympiad. We show that the corresponding variational problem for the equilibrium energy of the deformed cylinder is equivalent to a minimum action description of a simple gravitational pendulum with an amplitude of 90 degrees. We use this analogy to show that the power-law of the force…
Excitation and ionization of Rydberg atoms by short half-cycle pulses
1999
Simple semiclassical formulas are derived for the probability of excitation and ionization of Rydberg atoms irradiated by a half-cycle pulse whose duration is shorter than the Kepler period. The calculated ionization probabilities are in good agreement with the experimental data of Jones, You, and Bucksbaum [Phys. Rev. Lett. 70, 1236 (1993)] and with previous calculations.
Transparent Boundary Condition for Oseen-Frank Model. Application for NLC Cells With Patterned Electrodes
2015
In the present work a novel application of Transparent Boundary Conditions (TBC) to nematic liquid crystal cells (NLCC) with planar alignment and a patterned electrode is studied. This device is attracting great interest since it allows soliton steering by optically and externally induced waveguides. We employ the continuum Oseen-Frank theory to find the tilt and twist angle distributions in the cell under the one-constant approximation. The electric field distribution takes into account the whole 2D permittivity tensor for the transverse coordinates. Standard finite difference time domain methods together with an iterative method is applied to find an approximate solution to our coupled pr…
Effects of heat flux on lambda transition in liquid 4He,
2014
This paper is concerned with the derivation of a phase field model for λ-transition in 4He, when the liquid is subject to pressure and heat flux. As parameter that controls the transition, a field f that is the geometrical mean between the density of the fluid and that of the superfluid is used. The resulting model, that is a generalization of previous papers on the same subject, chooses as field variables the density, the velocity, the temperature and the heat flux, in addition to this field f. The restrictions on the constitutive quantities are obtained by using the Liu method of Lagrange multipliers. New results with respect to previous models are the presence of non-local terms to descr…
Scaling Behavior of the 2D XY Model Revisited
1998
Using two sets of high-precision Monte Carlo data for the two-dimensional XY model in the Villain formulation on square L × L lattices, the scaling behavior of the susceptibility χ and correlation length ξ in the vicinity of the Kosterlitz-Thouless phase transition is analyzed with emphasis on multiplicative logarithmic corrections (ln ξ)-2r in the high-temperature phase and (ln L)-2r in the finite-size scaling region, respectively.