Results 221 to 230 of about 5,544 (263)

Statistical Mechanics of the Dislocation System in a Crystal

Journal of the Physical Society of Japan, 1988
The statistical mechanics of the assembly of the dislocation lines in a three dimensional crystal is developed. Using the transfer matrix method, the statistical mechanics of the dislocations is transformed into the ground state problem of the two dimensional Fermion-Boson system.
Takao Yamamoto, Takeo Izuyama
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Statistical Mechanical Theory of the Facet Edge of a Crystal

Journal of the Physical Society of Japan, 1987
The facet edge of the crystal is investigated theoretically on the basis of the Terrace-Step-Kink (TSK) model. The statistical mechanics of this model is formulated in terms of the lattice Fermion approach. The analysis leads always to the Pokrovsky-Talapov-Gruber-Mullins transition.
Takao Yamamoto, Takeo Izuyama
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Statistical Mechanics of Freely Fluctuating Two-Dimensional Elastic Crystals

Journal of Statistical Physics, 2020
The paper is dedicated to Joel Lebowitz and recalls his personal and scientific encounters with Y. Sinai, common scientific interests and joint publications. Although no original new results are presented, some known theory concerning the statistical physics of freely fluctuating two-dimensional crystals subject to a non-linear elastic Hamiltonian is ...
M. E. H. Bahri, Y. Sinai
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The statistical mechanics of imperfect molecular crystals

Solid State Communications, 1969
Abstract Equations are developed for the calculation of thermodynamic functions of imperfect molecular crystals containing one species of point defect on a cubic lattice, following a method proposed by Mayer[7]. The treatment of vibrations requires essentially only the techniques applicable to a perfect crystal, requires no static relaxation ...
A.R. Allnatt, L.A. Rowley
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Statistical Mechanics of a Crystal Surface

1994
The paper is an extension of our previous article (1984) on statistical mechanics of anharmonic crystals where we dealt with the pseudoharmonic approach in the case of infinite crystals. The extension consists in the formulation which enables us to describe the properties of the surface. We consider the adsorbed atoms which are randomly situated in the
Bernard Gaveau, Julian Ławrynowicz, Leszek Wojtczak   +2 more
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Statistical mechanics approach to the structure determination of a crystal

Acta Crystallographica Section A Foundations of Crystallography, 1985
The previously formulated new approach to the structure analysis of a crystal based on the profound analogy between the problem of determination of thermodynamic equilibrium in statistical mechanics and the optimization problem for a function of many variables [Khachaturyan, Semenovskaya & Vainshtein (1979). Soy. Phys. Crystallogr. 24, 519-524; (1981).
S. V. Semenovskaya, K. A. Khachaturyan, A. G. Khachaturyan   +2 more
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Statistical-mechanical calculations for nematic liquid crystals

Physical Review A, 1977
A molecular theory of liquid crystals is developed within the framework of statistical mechanics for classical liquids. Coupled Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) equations are derived and solved for anisotropic systems of molecules interacting via a pairwise, orientation-dependent potential. Solutions representing isotropic and nematic phases
Lee, Michael A., Woo, Chia Wei
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Statistical-Mechanical Study of Ultrasonic Waves in a Crystal Lattice

Japanese Journal of Applied Physics, 1993
Elastic waves with audio or ultrasonic frequencies propagating in a crystal lattice at a finite temperature are studied from the viewpoint of nonequilibrium statistical mechanics. In order to demonstrate the essential principle of the present approach, a simple system, that is, a one-dimensional anharmonic lattice is studied in detail.
Masaru Sugiyama, Hajime Kikkawa Hajime Kikkawa, Kouji Mizuno Kouji Mizuno   +2 more
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A statistical-mechanical model of polymer liquid crystals subjected to external deformations

The Journal of Chemical Physics, 2004
We consider the nematiclike system of polymer liquid crystal (PLC) macromolecules represented by the Flory semiflexible chain model. Segments of the flexible (F) spacers are shorter than the LC hard-rod sequences. We investigate effects of imposition of external deformations.
Witold, Brostow, Janusz, Walasek
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Statistical-Mechanical Study of the Collision between a Crystal Lattice and a Rigid Wall

Journal of the Physical Society of Japan, 1999
Summary: The coefficient of restitution and the collision contact period are analyzed from a statistical-mechanical point of view through studying the collision between a one-dimensional anharmonic lattice and a rigid wall as a typical example. The contact period is defined as the time span between the first time and the last time when the atom at the ...
Sugiyama, Masaru, Sasaki, Noriaki
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