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Plenarvorträge - DPG-Tagungen

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Dynamik und Statistische Physik Dienstag<br />

results. We show how this drawback can be eliminated by a modification<br />

of the MCT-approximations. As a result MCT-equations are obtained<br />

which are complementary to the original ones. The glass transition is not<br />

driven by the growth of static correlations but by the increase of collision<br />

events between 2, 3 and 4 particles.<br />

DY 28.2 Di 10:15 H23<br />

Mode coupling equations for molecular crystals — •Michael<br />

Ricker und Rolf Schilling — Universität Mainz, Staudinger Weg 7,<br />

55099 Mainz<br />

We have derived the mode coupling equations for molecular crystals<br />

of axially symmetric particles, describing the time evolution of the tensorial<br />

orientational correlators Slm,l ′ m ′(q, t), where lm and l′ m ′ are pairs<br />

of indices for spherical harmonics. These equations have a similar structure<br />

as those for molecular liquids. Differences arise from the possibility<br />

of umklapp-processes in reciprocal space and from the anisotropy of the<br />

lattice. Because of the latter, the three-point correlation function of orientational<br />

density fluctuations, which occurs due to projections during the<br />

calculations, can not be approximated in such an elegant and insightful<br />

way as for liquid systems. Another difference is that only tensorial orientational<br />

correlators with l, l ′ > 0 are involved, since the l = 0 and/or<br />

l ′ = 0 correlators vanish.<br />

If these mode coupling equations can describe the formation of orientational<br />

glasses is currently tested for hard ellipsoids of revolution on a<br />

simple cubic lattice. The static orientational structure factors Slm,l ′ m ′(q),<br />

which are needed as input, are taken from MC simulations and from the<br />

solution of the Ornstein-Zernike equation using the Percus-Yevick approximation.<br />

DY 28.3 Di 10:30 H23<br />

Das β-peak Phänomen in glasbildenden van-der-Waals<br />

Flüssigkeiten — •Matthias Sperl und Wolfgang Götze —<br />

Physik-Department T37, TU München, 85747 Garching<br />

Messungen der Suszeptibilität mittels Optischem Kerr Effekt an Salol<br />

und Benzophenon zeigen strukturelle Relaxation über bis zu fünf<br />

Grössenordnungen in der Zeit. Dabei entsprechen bis zu drei Dekaden<br />

im Anschluß an die Transiente nicht den universellen Skalengesetzen der<br />

Modenkopplungstheorie. Dieses Problem der Datenanalyse wird durch<br />

den Fit der Daten in einem schematischen Modenkopplungsmodell geklärt.<br />

Der bisher unerklärte Zeitbereich in den Daten kann als Charakteristik<br />

eines β-peak Phänomenes verstanden und analytisch beschrieben<br />

werden.<br />

DY 28.4 Di 10:45 H23<br />

Dielectric relaxation in binary organic glass formers: β process<br />

vs. HF-wing scenario and heterogeneous dynamics — •Thomas<br />

Blochowicz and Ernst Rössler — Universität Bayreuth<br />

We study a series of binary mixtures using 2-picoline in oligomeric<br />

styrenes, in particular tri-styrene. The binary mixtures were characterised<br />

by broad band dielectric spectroscopy in the dynamic range 10 −6 −10 7 Hz.<br />

Although neither of the substances shows a secondary relaxation peak in<br />

the neat phase, there appears a strong β-process in the spectra of the<br />

picoline molecules in the mixture. In fact a careful lineshape analysis of<br />

χ ′′ (ω) with a set of appropriate model functions shows that the same process<br />

that is seen as a high frequency wing at high picoline concentrations<br />

becomes a β relaxation at lower concentrations due to a separation of<br />

time scales. Moreover, in the intermediate concentration range a strong<br />

broadening of the spectra as compared to neat picoline is observed. Nonresonant<br />

dielectric hole burning reveals that this broadening is on the<br />

one hand due to pronounced, long-lived dynamic heterogeneities but to<br />

some part also due to intrinsically non-exponential relaxation.<br />

DY 28.5 Di 11:00 H23<br />

Structure and dynamics of Al–Ni melts: Computer simulations<br />

studies — •Jürgen Horbach, Subir Kumar Das, and Kurt<br />

Binder — Institut für Physik, Johannes Gutenberg-Universität,<br />

Staudingerweg 7, D-55099 Mainz<br />

A combination of Monte Carlo (MC) and Molecular Dynamics (MD)<br />

computer simulation techniques is used to study the structure and dynamics<br />

of Al–Ni melts. As a model to describe the interactions between<br />

the atoms we use an embedded atom potential that was recently proposed<br />

by Mishin et al. [Phys. Rev. B 65, 224114 (2002)]. Monte Carlo<br />

simulations in the semigrandcanonical ensemble yield well–equilibrated<br />

configurations that are used in MD runs to study structural and dynamic<br />

properties. For the case of Al4Ni we demonstrate that our simulation is<br />

in very good agreement with the static structure factor and the diffusion<br />

constants as measured recently with neutron scattering by Meyer et al.<br />

We give an interpretation of the prepeak that appears in the total static<br />

structure factor of Al rich melts around 1.3 ˚A −1 . Furthermore we analyze<br />

the dynamics of Al4Ni by means of mode coupling theory and we discuss<br />

the possibility of a fluid–fluid phase separation in Al–Ni mixtures.<br />

DY 28.6 Di 11:15 H23<br />

The mixed alkali effect in ternary silicates: computer simulation<br />

studies — •Hans Knoth, Jürgen Horbach, and Kurt Binder —<br />

Institut für Physik, Staudinger Weg 7, Johannes Gutenberg–Universität,<br />

D–55099 Mainz<br />

Molecular dynamics computer simulations are used to investigate<br />

ternary alkali silicates (1 − x)Li2O·xK2O·2SiO2 (0 ≤ x ≤ 1). These systems<br />

are typical ion conductors which is due to a high mobility of the<br />

alkali ions. The structure and dynamics is studied for molten systems, as<br />

well as at lower temperatures at which only the alkali ions show a diffusive<br />

motion. Our aim is to understand the origin of the so-called mixed<br />

alkali effect (MAE) which is the phenomenon that the diffusion of the<br />

alkali ions is much slower in ternary systems (e.g. x = 0.5) than in the<br />

corresponding binary systems (i.e. x = 0 and x = 1). Preferable sites for<br />

the alkali diffusion are found that are located in a network of channels. In<br />

the ternary system, each alkali species moves in its own channel network<br />

leading to a stronger localization of alkali sites and the MAE.<br />

DY 28.7 Di 11:30 H23<br />

Nearly constant loss behavior in molecular glass-formers —<br />

•Catalin Gainaru, Alberto Rivera, Thomas Blochowicz,<br />

Christian Tschirwitz und Ernst A. Roessler — Experimentalphysik<br />

II, Universitaet Bayreuth, Germany<br />

We study the dielectric response of molecular glass formers showing no<br />

Johari-Goldstein relaxation (type A systems) below the glass transition<br />

temperature by applying the new Andeen Hagerling ultra-precision capacitance<br />

bridge (50 Hz - 20 KHz). In all glass formers we find a nearly<br />

constant loss behavior extending over several decades in frequency and<br />

exhibiting an exponential temperature dependence. Below say 50 K a<br />

crossover to another relaxation phenomena with a pronounced peak is<br />

observed (5 K - 50 K).<br />

DY 28.8 Di 11:45 H23<br />

Secondary relaxation processes in organic glasses - comparison<br />

between dielectric and NMR spectroscopy — •Sorin Adrian<br />

Lusceac, Peter Medick, Catalin Gainaru, and Ernst A.<br />

Rössler — Experimentalphysik II, Universitaet Bayreuth, Germany<br />

Secondary relaxation processes in glasses were discovered using dielectric<br />

spectroscopy. While dielectric spectroscopy is the preferred technique<br />

to study them for obtaining time constants, NMR spectroscopy is a good<br />

candidate to offer extra-information about their nature, in particular<br />

concerning geometry and hindrance of molecular motion. Several organic<br />

glass formers (polybutadiene Mw= 80000g/mol, mixture of benzene and<br />

polybutadiene Mw= 777 and 2110g/mol) are investigated using multidimensional<br />

NMR spectroscopy and the results are compared with those<br />

provided by dielectric spectroscopy. The main purpose is to find a link<br />

between the dielectric strength of the secondary relaxation process and<br />

suitable 2 H NMR measurable.<br />

DY 28.9 Di 12:00 H23<br />

Mapping supercooled liquids on simple trap models for the<br />

long-time dynamics: justification and consequences — •Andreas<br />

Heuer, Aimorn Saksaengwijit, and Katharina Hobbeling —<br />

Institut für Physikalische Chemie, Corrensstr. 30, D-48149 Münster<br />

For a long time it has been realized that the potential energy landscape<br />

(PEL) viewpoint is useful for characterizing supercooled liquids<br />

and glasses. To this end, one considers the high-dimensional vector of<br />

all particle coordinates as a point moving on the surface of the total<br />

potential energy. It turns out from computer simulations of a binary<br />

mixture Lennard-Jones system that the dynamics can be described as a<br />

random-walk between stable structures on the PEL, denoted metabasins<br />

[1]. Furthermore it turns out that the metabasins act as traps. Escaping<br />

a metabasin requires an activation energy which is proportional to the<br />

depth in the PEL. Thus the dynamics of the glass-forming liquid is very<br />

similar to the dynamics within a trap model. Some consequences of this<br />

mapping for the application of modern equilibration routines like parallel<br />

tempering are discussed.<br />

[1] B. Doliwa and A. Heuer, Phys. Rev. Lett. (in press).

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