The High Temperature Dynamics of a mean field Potts glass

We use Monte Carlo simulations to investigate the dynamical properties of the infinite range 10 states Potts glass. By analyzing the spin autocorrelation function for system sizes up to N=2560, we show that strong finite size effects are present around the predicted dynamical transition temperature. The autocorrelation function shows strong self-averaging at high temperatures, whereas close to the dynamical transition they show the lack of self-averaging.Comment: 7 pages of Latex, 4 figure

High Frequency Dynamics of Amorphous Silica

We present the results of extensive molecular dynamics computer simulations in which the high frequency dynamics of silica, nu>0.5 THz, is investigated in the viscous liquid state as well as in the glass state. We characterize the properties of high frequency sound modes by analyzing J_l(q,nu) and J_t(q,nu), the longitudinal and transverse current correlation function, respectively. For wave-vectors q>0.4 Angstrom^{-1} the spectra are sitting on top of a flat background which is due to multiphonon excitations. In the acoustic frequency band, i.e. for nu<20 THz, the intensity of J_l(q,nu) and J_t(q,nu) in the liquid and the glass approximately proportional to temperature, in agreement with the harmonic approximation. In contrast to this, strong deviations from a linear scaling are found for nu>20 THz. The dynamic structure factor S(q,nu) exhibits for q>0.23 Angstrom^{-1} a boson peak which is located nearly independent of q around 1.7 THz. We show that the low frequency part of the boson peak is mainly due to the elastic scattering of transverse acoustic modes with frequencies around 1 THz. The strength of this scattering depends on q and is largest around q=1.7 Angstrom^{-1}, the location of the first sharp diffraction peak in the static structure factor. By studying S(q,nu) for different system sizes we show that strong finite size effects are present in the low frequency part of the boson peak in that for small systems part of its intensity is missing. We discuss the consequences of these finite size effects for the structural relaxation.Comment: 33 pages of Latex, 15 figure

Static and dynamical properties of a supercooled liquid confined in a pore

We present the results of a Molecular Dynamics computer simulation of a binary Lennard-Jones liquid confined in a narrow pore. The surface of the pore has an amorphous structure similar to that of the confined liquid. We find that the static properties of the liquid are not affected by the confinement, while the dynamics changes dramatically. By investigating the time and temperature dependence of the intermediate scattering function we show that the dynamics of the particles close to the center of the tube is similar to the one in the bulk, whereas the characteristic relaxation time tau_q(T,rho) of the intermediate scattering function at wavevector q and distance rho from the axis of the pore increases continuously when approaching the wall, leading to an apparent divergence in the vicinity of the wall. This effect is seen for intermediate temperatures down to temperatures close to the glass transition. The rho-dependence of tau_q(T,rho) can be described by an empirical law of the form tau_q(T,\rho)=f_q(T) exp [Delta_q/(rho_p-rho)], where Delta_q and \rho_q are constants, and f_q(T) is the only parameter which shows a significant temperature dependence.Comment: 4 pages of Latex, 4 figures Pari

The Boson Peak in Amorphous Silica: Results from Molecular Dynamics Computer Simulations

We investigate a prominent vibrational feature in amorphous silica, the so-called boson peak, by means of molecular dynamics computer simulations. The dynamic structure factor S(q,nu) in the liquid, as well as in the glass state, scales roughly with temperature, in agreement with the harmonic approximation. By varying the size of the system and the masses of silicon and oxygen we show that the excitations giving rise to the boson peak are due to the coupling to transverse acoustic modes.Comment: 6 pages of Latex, 3 figures, uses aipproc.sty; to appear in proceedings of "Neutrons and Numerical Methods" Grenoble, Dec. 1998, Ed. H.G. Buttner et a

The relaxation dynamics of a supercooled liquid confined by rough walls

We present the results of molecular dynamics computer simulations of a binary Lennard-Jones liquid confined between two parallel rough walls. These walls are realized by frozen amorphous configurations of the same liquid and therefore the structural properties of the confined fluid are identical to the ones of the bulk system. Hence this setup allows us to study how the relaxation dynamics is affected by the pure effect of confinement, i.e. if structural changes are completely avoided. We find that the local relaxation dynamics is a strong function of z, the distance of the particles from the wall, and that close to the surface the typical relaxation times are orders of magnitude larger than the ones in the bulk. Because of the cooperative nature of the particle dynamics, the slow dynamics also affects the dynamics of the particles for large values of z. Using various empirical laws, we are able to parameterize accurately the z-dependence of the generalized incoherent intermediate scattering function F_s(q,z,t) and also the spatial dependence of structural relaxation times. These laws allow us to determine various dynamical length scales and we find that their temperature dependence is compatible with an Arrhenius law. Furthermore, we find that at low temperatures time and space dependent correlation function fulfill a generalized factorization property similar to the one predicted by mode-coupling theory for bulk systems. For thin films and/or at sufficiently low temperatures, we find that the relaxation dynamics is influenced by the two walls in a strongly non-linear way in that the slowing down is much stronger than the one expected from the presence of only one confining wall. ....Comment: 22 pages of Late