Statistical Mechanics of a Simple Model of the Nematic Liquid Crystal-Wall Interface
Molecular Crystals and Liquid Crystals, 1984Abstract 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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The flexoelectric effect in nematic liquid crystals: A statistical- mechanical approach
The European Physical Journal E, 2001The flexoelectric coefficients e1 and e3 for polar liquid crystals, such as 4-n-pentyl- 4′-cyanobiphenyl, are investigated theoretically by means of an integral equation approach, which takes into account translational, orientational correlations as well as their coupling.
A.V. Zakharov, R.Y. Dong
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Thermodynamics and Statistical Mechanics of Liquid Crystals and Their Solutions.
1977Abstract : This is a brief summary of the liquid crystal research supported by ARO at Georgetown University during the past ten years. Research has been directed toward a more detailed understanding, on a molecular level, of the thermodynamic properties of (a) phase transitions in liquid crystals and (b) binary mixtures of nonmesomorphic solutes and ...
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Crystal stability and mechanical properties of drawn polymers: A statistical‐mechanical approach
Journal of Polymer Science: Polymer Physics Edition, 1981AbstractThe 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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Chain folding and polymer crystallization: A statistical–mechanical approach
The Journal of Chemical Physics, 1977The essential factor controlling the formation of chain folded polymer crystals is attributed to the statistical distribution of many subcritical nuclei pre-existing within the chains. Each nucleus should consist of at least three parallel segments belonging to the same chain; its statistical probability is higher, the shorter are the chain loops ...
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Harmonic Crystals: Statistical Mechanics and Large Deviations
2000In dieser Arbeit werden grosse Fluktuationen einer harmonischen Interaktionsflaeche auf dem Standardgitter mit Methoden der Wahrscheinlichkeitstheorie analysiert. Wir studieren das Problem im Rahmen des Gibbsschen Formalismus der klassischen Statistischen Mechanik. Das Modell wird explizit repraesentiert durch stark korrelierte Gausssche Felder.
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Statistical Mechanics of Defect-Containing Solids. II. Ionic Crystals
The Journal of Chemical Physics, 1964The cluster expansions for the partition function and defect distribution functions derived previously are studied in detail for the case of ionic crystals with the object of calculating activity coefficients, defect concentrations, and defect distribution functions at low defect concentrations.
A. R. Allnatt, Morrel H. Cohen
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Group theoretical statistical mechanics of nematogenic and cholesteric liquid crystals
Chemical Physics, 1989Abstract 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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ESR And Liquid Crystals: Statistical Mechanics and Generalised Smoluchowski Equations
1994A general overview of molecular dynamics in liquid crystals is presented, which will serve as the basis for our discussion of ESR experiments.
J. H. Freed, A. Nayeem, S. B. Rananavare
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Statistical mechanics treatment of the evolution of dislocation distributions in single crystals
Physical Review B, 2000A 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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