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Results
- Recent Results
- Books
- Papers
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- The numerical solutions of the mode-coupling theory for the Lennard-Jones binary colloids are tested by performing extensive Brownian-dynamics simulations from a unified point of view based on the mean-field theory proposed recently [1]. As a liquid is cooled, a discrepancy between the simulation results and the MCT solutions for the mean-square displacements starts to appear around the so-called β stage. This becomes more obvious at lower temperatures. We note that this is just due to the basic formulation (Mori formalism) employed by MCT but not due to the approximations made by it [2].
[1] M. Tokuyama and Y. Kimura, Physica A 387, 4749 (2008).
[2] M. Tokuyama, Physica A 387, 1926 (2008).
Master Curve
- The mean-square displacements in any different systems are collapsed on a master curve given by the mean-field theory if the values of their long-time self-diffusion coefficients (universal parameter) are the same.
- The mean-free paths in any different systems are the same if the values of their long-time self-diffusion coefficients (universal parameter u) are the same.
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- M. Tokuyama, I. Oppenheim, and H. Nishiyama, eds.
- Complex Systems
- American Institute of Physics Conference Proceedings No. 982 (2008).
- M. Tokuyama and S. Maruyama, eds.
- Flow Dynamics
- American Institute of Physics Conference Proceedings No. 832 (2006).
- M. Tokuyama and I. Oppenheim, eds.
- Slow Dynamics in Complex Systems
- American Institute of Physics Conference Proceedings No. 708 (2004).
- M. Tokuyama and H. Eugene Stanley, eds.
- Statistical Physics
- American Institute of Physics Conference Proceedings No. 519 (2000).
- M. Tokuyama and I. Oppenheim, eds.
- Slow Dynamics in Complex Systems
- American Institute of Physics Conference Proceedings No. 469 (1999).
- M. Tokuyama and I. Oppenheim, eds.
- Statistical Physics
- World Scientific (Singapore, 1998).
- Statistical Physics
- Bussei Kenkyu (Kyoto) 66 (1996).
- K. Kawasaki, M. Tokuyama, and T. Kawakatsu, eds.
- Slow Dynamics in Condensed Matters
- American Institute of Physics Conference Proceedings No. 256 (1992).
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[1] Mean-Field Theory of Glass Transitions
[2] Time-Convolutionless Projection Operator Method
[3] Hard-Sphere Systems
[4] Dynamics of Spatial Heterogeneities
[5] Brownian Motion
[6] Charged Colloidal Suspensions
[7] Fractal
[8] Phase Separations
[9] Chemical Reactions
[10] Gas Kinetics
[11] Long-Time Tail
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- Mean-Field Theory of Glass Transition
- Test of the mode-coupling theory near the colloidal glass transition by extensive Brownian-dynamics simulations
- Physica A 387, 4749-4754 (2008).
- M. Tokuyama, T. Narumi, and E. Kohira
- Mapping from a Fragile Glass-Forming System to a Simpler One near their Glass Transitions
- Physica A 385, 439-455 (2007).
- Similarities in Diversely Different Glass-Forming Systems
- Physica A 378, 157-166 (2007)
- Mean-Field Theory of Glass Transitions
- Physica A 364, 23-62 (2006).
- M. Tokuyama, H. Yamazaki, and Y. Terada
- Universal Effects of Collective Interactions on Long-Time Self-Diffusion Coefficients in Hard-Sphere Systems
- Physica A 328, 367-379 (2003).
- M. Tokuyama, H. Yamazaki, and Y. Terada
- Test of Mean-Field Equations for Two Types of Hard-Sphere Systems by Brownian-Dynamics Simulation and a Molecular-Dynamics Simulation
- Phys. Rev. E 67, 062403 (2003).
- Slow Dynamics ofEquilibrium Density Fluctuations in Suspensions of Colloidal Hard Shperes near the Glass Transition
- Phys. Rev. E 62, R5915-R5918 (2000).
- Time-Convolutionless Projection Operator Method
- A statistical-mechanical theory of self-diffusion in colloidal suspensions -- application to colloidal glass transitions
- Physica A 387, 4015-4032 (2008).
- Erratum to "A statistical mechanical theory of self-diffusion in colloidal suspensions -- Application to colloidal glass transitions"
- Physica A 387, 5675-5677 (2008)
- A statistical-mechanical theory of self-diffusion in glass-forming liquids
- Physica A 387, 5003-5011 (2008).
- Comparison of the Tokuyama-Mori type projection-operator method to that of Mori type near the glass transition
- Physica A 387, 1926-1936 (2008).
- Statistical-Dynamical Theory of Nonlinear Stochastic Processes
- Physica A 109, 128-160 (1981).
- On the Theory of Fluctuations around Non-equilibrium Staedy States
- Physica A 102, 399-430 (1980).
- Statistical-Mechanical Theory of Random Frequency Modulation and Generalized Brownian Motions
- Prog. Theor. Phys. 55, 411-429 (1976).
- Statistical-Mechanical Approach to Random Frequency Modulation and the Gaussian memory Function
- Prog. Theor. Phys. 55, 411-429 (1976).
- M. Tokuyama and Y. Terada
- How Different is a Hard-Sphere Fluid from a Suspension of Hard-Sphere Colloids near the Glas Transitions
- Physica A 375, 18-36 (2007).
- M. Tokuyama and Y. Terada
- Slow Dynamics and Re-entrant Melting in a Polydisperse Hard-Sphere Fluid
- J. Phys. Chem. B 109, 21357-21363 (2005).
- M. Tokuyama, Y. Terada, and I. Oppenheim
- On the Slow Dynamics of Density Fluctuations near the Colloidal Glass Transition
- EPJ E 9,271-275 (2002).
- Slow Dynamics of Equilibrium Density Fluctuations in Suspensions of Hard Spheres near the Glass Transition
- J. Korean Physical Society 38, 512-515 (2001).
- On the Derivation of a Nonlinear Stochastic Diffusion Equation for Supercooled Colloidal Liquids and Glasses
- Physica A 294, 23-43 (2001).
- Slow Dynamics of Equilibrium Density Fluctuations in a Supercooled Colloidal Liquid
- Physica A 289, 57-85 (2001).
- M. Tokuyama, Y. Enomoto, and I. Oppenheim
- Slow Dynamics of Supercooled Colloidal Fluids
- Physica A 270, 380-402 (1999).
- Effective Diffusion Model on Brownian Dynamics of Hard-Sphere Colloidal Suspensions
- Physica A 265, 333-340 (1999).
- M. Tokuyama, Y. Enomoto, and I. Oppenheim
- Slow Dynamics of Nonequilibrium Density Fluctuations in Concentrated Hard-Sphere Suspensions
- International Journal of Thermophysics 19, 877-885 (1998).
- M. Tokuyama, Y. Enomoto, and I. Oppenheim
- Slow Dynamics of Structure and Fluctuations in Supercooled Colloidal Fluids
- Phy. Rev. E 56, 2302-2305 (1997).
- M. Tokuyama, Y. Enomoto, and I. Oppenheim
- Slow Dynamics of Nonequilibrium Density Fluctuations in Hard-Sphere Suspensions
- Phy. Rev. E 55, R29-R32 (1997).
- Nonequilibrium Effects on Slow Dynamics in Concentrated Colloidal Suspensions
- Phys. Rev. E 54, R1062-R1065 (1996).
- Slow Dynamics of Self-Diffusion in Metastable Colloidal Fluids
- Physica A 229, 36-46 (1996).
- M. Tokuyama and I. Oppenheim
- On the Theory of Concentrated Hard-Sphere Suspensions
- Physica A 216, 85-119 (1995).
- M. Tokuyama and I. Oppenheim
- Dynamics of Hard-Sphere Suspensions
- Phys. Rev. E 50, R16-R19 (1994).
- Dynamics of Spatial heterogeneities
- M. Tokuyama, Y. Terada, and I. Oppenheim
- Nonlinear Equilibrium Density Fluctuations and Spatial Heterogeneities near the Colloidal Glass Transition
- Physica A 321, 193-206 (2003).
- M. Tokuyama, Y. Terada, and I. Oppenheim
- Effect of Spatial Heterogeneities on the Slow Dynamics of Density Fluctuations near the Colloidal Glass Transition
- Physica A 307, 27-40 (2002).
- M. Tokuyama, Y. Enomoto and I. Oppenheim
- Slow Dynamics of Supercooled Colloidal Fluids: Spatial Heterogeneities and Nonequilibrium Density Fluctuations"
- Physica A 270, 380-402 (1999).
- Brownian Motion and Long-Time Tails
- On the Theory of Nonlinear Shear Viscosity and Long-Time Tails
- Physics Letters A 102, 21-24 (1984).
- M. Tokuyama and I. Oppenheim
- Statistical-Mechanical Theory of Brownian Motion
- Physica A 94, 501-520 (1978).
- Charged Colloidal Suspensions
- Statistical-mechanical Theory of Short-Time Self-Diffusion in Dilute Suspensions of Highly Charged Colloids
- Physica A 352, 252-264 (2005).
- Effective Forces between Macroions in Highly Charged Colloidal Suspensions
- Phys. Rev. E 59, R2550-R2553 (1999).
- Theory of Slow Dynamics in Highly Charged Colloidal Suspensions
- Phys. Rev. E 58, R2729-2732 (1998).
- M. Tokuyama and K. Kawasaki
- Fractal Dimensions for Diffusion-Limited Aggregation
- Phys. Letts. A 100, 337-340 (1984).
- Encounter Effects on the Dynamics of Fluctuations in Phase Separations of Off-Critically Quenched Binary Systems
- Physica A 232, 304-314 (1996).
- M. Tokuyama and Y. Enomoto
- Effects of Encounters on Phase-Separating Dynamics from Diffusion-Controlled Growth to Coarsening
- Physica A 220, 261-276 (1995).
- M. Tokuyama and Y. Enomoto
- Dynamics of Crossover from Diffusion Growth to Coarsening in Quenched Binary Mixtures
- International Journal of Thermophysics 15, 1145-1155 (1994).
- M. Tokuyama and Y. Enomoto
- On the Theory of Late-Stage Phase Separation in Off-Critically Quenched Binary Systems
- Physica A 204, 673-692 (1994).
- M. Tokuyama and Y. Enomoto
- Theory of Phase-Separation Dynamics in Quenched Binary Mixtures
- Physical Review E 47, 1156-1179 (1993).
- M. Tokuyama and Y. Enomoto
- Dynamics of Crossover Phenomenon in Phase-Separating Systems
- Physical Review Letters 69, 312-315 (1992).
- M. Tokuyama and Y. Enomoto
- Kinetic equations and Fluctuations in Electrochemical Nucleation: Studies of Many-Body Effects on Diffusion-Controlled Particle Growth on a Substrate
- Journal of Chemical Physics 94, 8234-8243 (1991).
- Statistical-Mechanical Theory of Diffusion-Controlled Particle Growth on a Surface: Kinetics of Diffusion-Limited Currents
- Physica A 169, 147-190 (1990).
- M. Tokuyama, Y. Enomoto, and K. Kawasaki
- Dynamics of Fluctuations in Ostwald Ripening - A New Equation of Motion for the Structure Function
- Physica A 143, 183-209 (1987).
- Y. Enomoto, K. Kawasaki, and M. Tokuyama
- The Time Dependent Behavior of the Ostwald Ripening
- Acta. Metall. 35, 915-922 (1987).
- Y. Enomoto, K. Kawasaki, and M. Tokuyama
- Computer Modeling of Ostwald Ripening
- Acta. Metall. 35, 907-913 (1987).
- K. Kawasaki, Y. Enomoto, and M. Tokuyama
- Elementary derivation of Kinetic Equations for Ostwald Ripening
- Physica A 135, 426-445 (1986).
- Y. Enomoto, M. Tokuyama, and K. Kawasaki
- Finite Volume Fraction Effects on Ostwald Ripening
- Acta. Metall. 34, 2119-2128 (1986).
- M. Tokuyama, K. Kawasaki, and Y. Enomoto
- Kinetic Equations for Ostwald Ripening
- Physica A 134, 323-338 (1986).
- M. Tokuyama and K. Kawasaki
- Statistical-Mechanical Theory of Coarsening of Spherical Droplets
- Physica A 123, 386-411 (1984).
- Statistical-Mechanical Theory of Many-Body effects in Reaction Rates
- J. Chem. Phys. 91, 4043-4060 (1989).
- M. Tokuyama and R. I. Cukier
- Dynamics of Diffusion-Controlled Reactions Among Stationary Sinks- Scaling Expansion Approach
- J. Chem. Phys. 76, 6202-6214 (1982).
- M. Tokuyama and R. I. Cukier
- Hydrodynamics of a Suspension of Non-Dilute Stationary Spheres
- Physical Review Letters 48, 1604-1607 (1982).
- Kinetic Equations and Fluctuations in µ Space of One-Component Dilute Plasmas
- Prog. of Theor. Phys. 58, 92-112 (1977).
- Statistical-Mechanical Theory of the Boltzmann Equation and Fluctuations in µ Space
- Prog. of Theor. Phys. 56, 1073-1092 (1976).
- Derivation of the Boltzmann Equation by the Scaling Method for Reduction of Processes
- Prog. of Theor. Phys. 55, 1322-1323 (1976).
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