34 citations · 48 across the 6 of their papers we have counts for
7 papers
Using the wavelet transform to separate scales in the Schrödinger equation and subsequently derive the Boltzmann equation
A. P. Meilakhs
Here we continue our investigation aimed at the derivation of the Boltzmann equation from the first principles of quantum mechanics. The key difficulty that we overcome in this man…
Non-coherent evolution of closed weakly interacting system leads to equidistribution of probabilities of microstates
A. P. Meilakhs
We introduce a concept of non-coherent evolution of macroscopic quantum systems. We show that for weakly interacting systems such evolution is a Markovian stochastic process. The t…
Transmission of waves and particles through the interface: reversibility and coherence
A. P. Meilakhs
We examine the transmission of quantum particles (phonons, electrons, and photons) across interfaces, identifying universal patterns in diverse physical scenarios. Starting with cl…
Nonequilibrium distribution function in the presence of a heat flux at the interface between two crystals
A. P. Meilakhs
A one-dimensional harmonic chain model is used to study the non-equilibrium distribution function of phonons induced by a heat flux across the interface between two crystals. Condi…
Calculation of Kapitza resistance with kinetic equation
A. P. Meilakhs, B. V. Semak
A new method is introduced for calculation of interfacial thermal resistance in the case of heat transport through the interface by phonons. A unique feature of the method is takin…
New explanation of Raman peak redshift in nanoparticles
A. P. Meilakhs, S. V. Koniakhin
In this letter, we propose a new model that explains the Raman peak downshift observed in nanoparticles with respect to bulk materials. The proposed model takes into account discre…
Phonon transmission across an interface between two crystals
Aleksandr Meilakhs
The new model of phonon transmission across the interface between two crystals is proposed featured by taking into account the mismatch of crystal lattices. It has been found that…