0000000001083183

AUTHOR

Michael Ricker

showing 2 related works from this author

Microscopic theory of glassy dynamics and glass transition for molecular crystals.

2004

We derive a microscopic equation of motion for the dynamical orientational correlators of molecular crystals. Our approach is based upon mode coupling theory. Compared to liquids we find four main differences: (i) the memory kernel contains Umklapp processes, (ii) besides the static two-molecule orientational correlators one also needs the static one-molecule orientational density as an input, where the latter is nontrivial, (iii) the static orientational current density correlator does contribute an anisotropic, inertia-independent part to the memory kernel, (iv) if the molecules are assumed to be fixed on a rigid lattice, the tensorial orientational correlators and the memory kernel have …

PhysicsStatistical Mechanics (cond-mat.stat-mech)Condensed matter physicsFOS: Physical sciencesEquations of motionCondensed Matter - Soft Condensed MatterAtomic packing factorBrillouin zoneReciprocal latticeMode couplingSoft Condensed Matter (cond-mat.soft)Microscopic theoryAnisotropyGlass transitionCondensed Matter - Statistical MechanicsPhysical review. E, Statistical, nonlinear, and soft matter physics
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Ornstein-Zernike equation and Percus-Yevick theory for molecular crystals

2004

We derive the Ornstein-Zernike equation for molecular crystals of axially symmetric particles and apply the Percus-Yevick approximation to this system. The one-particle orientational distribution function has a nontrivial dependence on the orientation and is needed as an input. Despite some differences, the Ornstein-Zernike equation for molecular crystals has a similar structure as for liquids. We solve both equations for hard ellipsoids on a sc lattice. Compared to molecular liquids, the tensorial orientational correlators exhibit less structure. However, depending on the lengths a and b of the rotation axis and the perpendicular axes of the ellipsoids, different behavior is found. For obl…

Statistical Mechanics (cond-mat.stat-mech)Plane (geometry)Center (category theory)FOS: Physical sciencesOrnstein–Zernike equationCondensed Matter - Soft Condensed MatterSpace (mathematics)Brillouin zoneOrientation (vector space)symbols.namesakeReciprocal latticeQuantum mechanicssymbolsSoft Condensed Matter (cond-mat.soft)MaximaCondensed Matter - Statistical MechanicsMathematics
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