60 research outputs found
Anomalous Diffusion In Microrheology: A Comparative Study
We present a comparative study on two theoretical descriptions of
microrheological experiments. Using a generalized Langevin equation (GLE), we
analyze the origin of the power-law behavior of the main properties of a
viscoelastic medium. Then, we discuss the equivalence of the GLE with a
generalized Fokker-Planck equation (GFPE), and how more general GFPE's can be
derived from a thermo-kinetic formalism. These complementary theories lead to a
justification for the physical nature of the Hurst exponent of fractional
kinetics. Theory is compared with experiments.Comment: 7 pages, 3 figure
A FDR-preserving field theory for interacting Brownian particles: one-loop theory and MCT
We develop a field theoretical treatment of a model of interacting Brownian
particles. We pay particular attention to the requirement of the time reversal
invariance and the fluctuation-dissipation relationship (FDR). The method used
is a modified version of the auxiliary field method due originally to
Andreanov, Biroli and Lefevre [J. Stat. Mech. P07008 (2006)]. We recover the
correct diffusion law when the interaction is dropped as well as the standard
mode coupling equation in the one-loop order calculation for interacting
Brownian particle systems.Comment: 66 pages, 8 figures, submitted to J. Stat. Mec
Critical fluctuations of time-dependent magnetization in a random-field Ising model
Cooperative behaviors near the disorder-induced critical point in a random
field Ising model are numerically investigated by analyzing time-dependent
magnetization in ordering processes from a special initial condition. We find
that the intensity of fluctuations of time-dependent magnetization, ,
attains a maximum value at a time in a normal phase and that
and exhibit divergences near the disorder-induced critical
point. Furthermore, spin configurations around the time are
characterized by a length scale, which also exhibits a divergence near the
critical point. We estimate the critical exponents that characterize these
power-law divergences by using a finite-size scaling method.Comment: 5 pages, 7 figure
Event-Driven Simulation of the Dynamics of Hard Ellipsoids
We introduce a novel algorithm to perform event-driven simulations of hard
rigid bodies of arbitrary shape, that relies on the evaluation of the geometric
distance. In the case of a monodisperse system of uniaxial hard ellipsoids,we
perform molecular dynamics simulations varying the aspect-ratio X0 and the
packing fraction phi. We evaluate the translational Dtrans and the rotational
Drot diffusion coefficient and the associated isodiffusivity lines in the
phi-X0 plane. We observe a decoupling of the translational and rotational
dynamics which generates an almost perpendicular crossing of the Dtrans and
Drot isodiffusivity lines. While the self intermediate scattering function
exhibits stretched relaxation, i.e. glassy dynamics, only for large phi and X0
about equals to 1, the second order orientational correlator C2(t) shows
stretching only for large and small X0 values. We discuss these findings in the
context of a possible pre-nematic order driven glass transition.Comment: Proceedings of IWCS2007 Sendai (Japan
Can the frequency-dependent specific heat be measured by thermal effusion methods?
It has recently been shown that plane-plate heat effusion methods devised for
wide-frequency specific-heat spectroscopy do not give the isobaric specific
heat, but rather the so-called longitudinal specific heat. Here it is shown
that heat effusion in a spherical symmetric geometry also involves the
longitudinal specific heat.Comment: Paper presented at the Fifth International Workshop on Complex
Systems (Sendai, September, 2007), to appear in AIP Conference Proceeding
Numerical Investigation of Supersonic Hybrid Argon-Water-Stabilized Arc for Biomass Gasification
科研費報告書収録論文(課題番号:17206016/研究代表者:西山秀哉/プラズマ流動システムのマルチスケール統合化による最適制御)77
Fluctuation effects in the theory of microphase separation of diblock copolymers in the presence of an electric field
We generalize the Fredrickson-Helfand theory of the microphase separation in
symmetric diblock copolymer melts by taking into account the influence of a
time-independent homogeneous electric field on the composition fluctuations
within the self-consistent Hartree approximation. We predict that electric
fields suppress composition fluctuations, and consequently weaken the
first-order transition. In the presence of an electric field the critical
temperature of the order-disorder transition is shifted towards its mean-field
value. The collective structure factor in the disordered phase becomes
anisotropic in the presence of the electric field. Fluctuational modulations of
the order parameter along the field direction are strongest suppressed. The
latter is in accordance with the parallel orientation of the lamellae in the
ordered state.Comment: 16 page
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