Results 211 to 220 of about 69,527 (244)

Statistical Mechanics of a Simple Model of the Nematic Liquid Crystal-Wall Interface

Molecular Crystals and Liquid Crystals, 1984
Abstract A simple model of the nematic liquid crystal-wall interface introduced in our previous paper1 has been extended. The effect of an impenetrable wall has been taken into account by making a gradient expansion with respect to the orientational order parameter profile, resulting in an additional term in the effective surface potential as a ...
A. Poniewierski, T. J. Sluckin
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Non-equilibrium statistical mechanics of liquid crystals: relaxation, viscosity and elasticity

Journal of Physics A: Mathematical and Theoretical, 2007
The rotational diffusion of a general-shape object (a molecule) in a flow of uniaxial nematic liquid crystal is considered in the molecular field approximation. The full corresponding Fokker–Planck equation is derived, and then reduced to the limit of diffusion of orientational coordinates in a field of uniaxial nematic potential and the flow gradient.
C J Chan, E M Terentjev
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Crystal stability and mechanical properties of drawn polymers: A statistical‐mechanical approach

Journal of Polymer Science: Polymer Physics Edition, 1981
AbstractThe partition function is formulated by the generating function method for a stacked lamellar model of alternating crystalline and amorphous layers. The random‐walk problem of enumerating statistical weights for conformations of amorphous chains confined by two parallel walls is solved for the body‐centered cubic lattice as a generalization of ...
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Statistical-mechanical theory of vacancy interactions in heavy-rare-gas crystals

Soviet Journal of Low Temperature Physics, 1984
Within the framework of the classical statistical-mechanical theory of crystals we have derived expressions for the effective vacancy–vacancy and vacancy–atom interaction potentials and analyzed their dependence on the temperature and pressure. The activation energies have been calculated for vacancy and divacancy migration in a fcc lattice. We analyze
É. T. Brook-Levinson, O. D. Chernetsov
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Group theoretical statistical mechanics of nematogenic and cholesteric liquid crystals

Chemical Physics, 1989
Abstract The principles of group theoretical statistical mechanics have been applied to the molecular dynamics of nematogens and cholesterics, with point groups C ∞v , D ∞h , C ∞ and D ∞ . The effect of alignment with an external static electric field is discussed in terms of new ensemble averages that take the symmetry of the applied field and make
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Statistical mechanics of equilibrium crystal shapes: Interfacial phase diagrams and phase transitions

Physics Reports, 1984
Abstract We review the present status of the statistical mechanical theory of equilibrium crystal shapes. Special emphasis is placed on the relation between singularities occurring in the shapes of three-dimensional ( d 3) crystals and the phase transitions of certain d 2 models.
Craig Rottman, Michael Wortis
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A Statistical-Mechanical Theory of Structural Phase Transition in Helical Polymer Crystals

Journal of the Physical Society of Japan, 1982
The structural phase transition in helical polymer crystal is investigated from a statistical-mechanical point of view. Starting from an effective Hamiltonian per chain molecule, the self-consistent equation is obtained in a mean field approximation. On the basis of this equation, some types of possible phase transitions are investigated.
Shigeo Naya, Masao Abe
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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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Statistical Mechanics of Antiferromagnetic Layer Crystal, FeCl₂

Journal of the Physical Society of Japan, 1960
For the spin system in FeCl 2 we developed a statistical theory with Bethe-Peierls method and performed the numerical calculations to compare the results with experimental data of antiferro-ferro transition. Our results are also compared with those obtained by the molecular field approximation.
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Statistical mechanics treatment of the evolution of dislocation distributions in single crystals

Physical Review B, 2000
A statistical mechanics framework for the evolution of the distribution of dislocations in a single crystal is established. Dislocations on various slip systems are represented by a set of phase-space distributions each of which depends on an angular phase space coordinate that represents the line sense of dislocations.
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