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Ikhtier Holmamatovich Umirzakov

Publications and source records attributed to Ikhtier Holmamatovich Umirzakov.

2 recordsLinked to original sources

Comments on "Total and fractional densities of states from caloric relations" by S. F. Chekmarev and S. V. Krivov, Phys. Rev. E 57 2445 (1998)

We showed that the equations (3), (4), (5) and (6), used in the paper Total and fractional densities of states from caloric relations by S. F. Chekmarev and S. V. Krivov, Phys. Rev. E 57 2445 (1998), are incorrect, the data, presented in the paper by lines on Figs. 1, (3a) and (3b), are not correct, the data presented by the symbols on Figs. 3(a) and 3(b) in the paper are made manually (false), all conclusions made in the paper have no sense, the assertion in the paper that the molecular dynamics simulations sample the potential energy surface not uniformly, but according to the fractional densities of state for the isomers is incorrect. We showed also that the total and fractional densities of states obtained in the paper from caloric relations are not equal to that of microcanonical ensemble of clusters, the ensemble of clusters used in the paper does not represent the microcanonical ensemble of clusters.

cond-mat.other↗

Classical Linear Harmonic Oscillators to Describe Thermodynamic Properties of Quantum Linear Harmonic Oscillators and Solids

As known all physical properties of solids are described well by the system of quantum linear harmonic oscillators. It is shown in the present paper that the system consisting of classical linear harmonic oscillators having temperature dependent masses or (and) frequencies has the same partition function as the system consisting of quantum linear harmonic oscillators having temperature independent masses and frequencies while the means of the square displacements of the positions of the oscillators from their mean positions for the system consisting of classical linear harmonic oscillators having: the temperature dependent masses; temperature dependent frequencies; and temperature dependent masses and frequencies differ from each other and from that of the system consisting of quantum linear harmonic oscillators, and hence, the system consisting of classical linear harmonic oscillators describes well the thermodynamic properties of the system consisting of quantum linear harmonic oscillators and solids.

cond-mat.stat-mech↗