0000000000824667

AUTHOR

Stefan Kämmerer

showing 3 related works from this author

Dynamics of the rotational degrees of freedom in a supercooled liquid of diatomic molecules

1997

Using molecular dynamics computer simulations, we investigate the dynamics of the rotational degrees of freedom in a supercooled system composed of rigid, diatomic molecules. The interaction between the molecules is given by the sum of interaction-site potentials of the Lennard-Jones type. In agreement with mode-coupling theory (MCT), we find that the relaxation times of the orientational time correlation functions C_1^(s), C_2^(s) and C_1 show at low temperatures a power-law with the same critical temperature T_c, and which is also identical to the critical temperature for the translational degrees of freedom. In contrast to MCT we find, however, that for these correlators the time-tempera…

PhysicsCondensed matter physicsStatistical Mechanics (cond-mat.stat-mech)Degrees of freedom (physics and chemistry)ThermodynamicsRotational diffusionFOS: Physical sciencesType (model theory)Diatomic moleculeFick's laws of diffusionPower lawRelaxation (physics)Critical exponentCondensed Matter - Statistical Mechanics
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Test of mode coupling theory for a supercooled liquid of diatomic molecules. II.q-dependent orientational correlators

1997

Using molecular dynamics computer simulations we study the dynamics of a molecular liquid by means of a general class of time-dependent correlators S_{ll'}^m(q,t) which explicitly involve translational (TDOF) and orientational degrees of freedom (ODOF). The system is composed of rigid, linear molecules with Lennard- Jones interactions. The q-dependence of the static correlators S_{ll'}^m(q) strongly depend on l, l' and m. The time dependent correlators are calculated for l=l'. A thorough test of the predictions of mode coupling theory (MCT) is performed for S_{ll}^m(q,t) and its self part S_{ll}^{(s)m}(q,t), for l=1,..,6. We find a clear signature for the existence of a single temperature T…

PhysicsStatistical Mechanics (cond-mat.stat-mech)Degrees of freedom (physics and chemistry)FOS: Physical sciencesLinear molecular geometryDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksLambdaOmegaDiatomic moleculeQuantum mechanicsMode couplingExponentSignature (topology)Condensed Matter - Statistical MechanicsPhysical Review E
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Test of mode coupling theory for a supercooled liquid of diatomic molecules.I. Translational degrees of freedom

1997

A molecular dynamics simulation is performed for a supercooled liquid of rigid diatomic molecules. The time-dependent self and collective density correlators of the molecular centers of mass are determined and compared with the predictions of the ideal mode coupling theory (MCT) for simple liquids. This is done in real as well as in momentum space. One of the main results is the existence of a unique transition temperature T_c, where the dynamics crosses over from an ergodic to a quasi-nonergodic behavior. The value for T_c agrees with that found earlier for the orientational dynamics within the error bars. In the beta- regime of MCT the factorization of space- and time dependence is satisf…

PhysicsStatistical Mechanics (cond-mat.stat-mech)Order (ring theory)FOS: Physical sciencesPosition and momentum spaceDisordered Systems and Neural Networks (cond-mat.dis-nn)Condensed Matter - Disordered Systems and Neural NetworksDiatomic moleculePower lawQuantum mechanicsExponentRelaxation (physics)Ideal (ring theory)Structure factorCondensed Matter - Statistical Mechanics
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