41 research outputs found
AVALANCHE PHENOMENA IN TWO-DIMENSIONAL FOAM SYSTEMS(Session III : Complex Fluids, The 1st Tohwa University International Meeting on Statistical Physics Theories, Experiments and Computer Simulations)
この論文は国立情報学研究所の電子図書館事業により電子化されました
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
Mode coupling theory in the FDR-preserving field theory of interacting Brownian particles
We develop a renormalized perturbation theory for the dynamics of interacting
Brownian particles, which preserves the fluctuation-dissipation relation order
by order. We then show that the resulting one-loop theory gives a closed
equation for the density correlation function, which is identical with that in
the standard mode coupling theory.Comment: version to be published in Fast Track Communication in Journal of
Physics A:Math. Theo
Computational Study of Effects of Uniaxial Compression during Processes of Spinodal Decomposition
Kinetically driven glassy transition in an exactly solvable toy model with reversible mode coupling mechanism and trivial statics
We propose a toy model with reversible mode coupling mechanism and with
trivial Hamiltonian (and hence trivial statics). The model can be analyzed
exactly without relying upon uncontrolled approximation such as the
factorization approximation employed in the current MCT. We show that the model
exhibits a kinetically driven transition from an ergodic phase to nonergodic
phase. The nonergodic state is the nonequilibrium stationary solution of the
Fokker-Planck equation for the distribution function of the modelComment: 10 pages, 1 figure, contribution to the Proceedings of the Barcelona
Workshop 'Glassy Behavior of Kinetically Constrained Models'. To appear in J.
Phys. Condens. Matte
Dynamic Mean-Field Glass Model with Reversible Mode Coupling and Trivial Hamiltonian
Often the current mode coupling theory (MCT) of glass transitions is compared
with mean field theories. We explore this possible correspondence. After
showing a simple-minded derivation of MCT with some difficulties we give a
concise account of our toy model developed to gain more insight into MCT. We
then reduce this toy model by adiabatically eliminating rapidly varying
velocity-like variables to obtain a Fokker-Planck equation for the slowly
varying density-like variables where diffusion matrix can be singular. This
gives a room for nonergodic stationary solutions of the above equation.Comment: 9 pages, contribution to the Proceedings of the Merida Satellite
Meeting to STATPHYS21 (Merida, Mexico, July 9-14, 2001). To appear in J.
Phys. Condens. Matte