Micromechanical resonators with fundamental vibrational mode frequencies in the range 10MHz–1GHz can now be fabricated [1, 2]. Applications include fast, ultrasensitive force and displacement detectors [3], electrometers [4, 5], and radio frequency signal processors [6]. However, the advances in the development of micromechanical devices also raise the fundamental question of whether mechanical...

The temperature dependence of the rate coefficients for vibrational relaxation of H2 in neat H2 is interpreted within the semiclassical effective mass approach. Across the temperature range of 80-3000 K, the experimental rate coefficients vary by five orders of magnitude and fall onto a strongly nonlinear Landau-Teller plot. This behavior is explained by the nonclassical nature of the energy re...

The vibrational density of states (DoS), calculated from the Fourier transform of the velocity autocorrelation function, provides profound information regarding the structure and dynamic behavior of a system. However, it is often difficult to identify the exact vibrational mode associated with a specific frequency if the DoS is determined based on velocities in Cartesian coordinates. Here, the ...

We consider a system of externally pumped nonequilibrium harmonic oscillators (vibrational modes) interacting through anharmonic e€ects with a system of harmonic oscillators with lower-lying frequencies (acoustic-like vibrations) composing a thermal bath for the former. We derive the equations of evolution for the population of the vibrational modes, introducing high order nonlinear relaxation ...

High-resolution photoelectron imaging and spectroscopy of cold C₆₀⁻ anions are reported using a newly built photoelectron imaging apparatus coupled with an electrospray ionization source and a temperature-controlled cryogenic ion trap. Vibrationally resolved photoelectron spectra are obtained for the detachment transition from the ground state of C₆₀⁻ to that of C60 at various detachment wavele...

In this paper, homotopy perturbation and modified Lindstedt-Poincare methods are employed for nonlinear free vibrational analysis of simply supported and double-clamped beams subjected to axial loads. Mid-plane stretching effect has also been accounted in the model. Galerkin's decomposition technique is implemented to convert the dimensionless equation of the motion to nonlinear ordinary differ...