Search Results - subject:"Projection operator method"

Time-convolutionless mode-coupling theory near the glass transition—A recursion formula and its asymptotic solutions

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 430 (2015) C, pp. 156-170

The time-convolutionless mode-coupling theory (TMCT) equation for the intermediate scattering function fα(q,t) derived recently by the present author is analyzed mathematically and numerically, where α=c stands for a collective case and α=s for a self case. All the mathematical formulations...

Persistent link: https://www.econbiz.de/10011264568

A statistical-mechanical theory of slow dynamics near the glass transition

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 389 (2010) 5, pp. 951-969

–Mori projection operator method. The exact diffusion equations for the coherent- and the incoherent-intermediate scattering functions …

Persistent link: https://www.econbiz.de/10010589852

Self-diffusion in multi-component glass-forming systems

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 15, pp. 3083-3092

principle by employing the Tokuyama–Mori projection-operator method are used to define DSL in each type formally, both of which …

Persistent link: https://www.econbiz.de/10011061631

Comparison of the Tokuyama–Mori type projection-operator method to that of Mori type near the glass transition

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 8, pp. 1926-1936

Two types of projection-operator methods, Mori type and Tokuyama–Mori type, are tested for studying the slow dynamics of a single particle in complex systems near the glass transition. From a unified point of view based on the mean-field theory recently proposed by the present author, the...

Persistent link: https://www.econbiz.de/10011062246

A statistical-mechanical theory of self-diffusion in glass-forming liquids

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 21, pp. 5003-5011

equation is derived from a Newton equation by employing the Tokuyama–Mori projection operator method. The memory function is …

Persistent link: https://www.econbiz.de/10011062314

A statistical-mechanical theory of self-diffusion in colloidal suspensions — application to colloidal glass transitions

Tokuyama, Michio - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 16, pp. 4015-4032

equation is derived from a nonlinear Langevin equation by employing the Tokuyama–Mori projection operator method. The friction …

Persistent link: https://www.econbiz.de/10011063837

Quantitative evaluation of nonlinear diffusion for isotropic random flow

Sato, Kenji; Nagashima, Hideki - In: Physica A: Statistical Mechanics and its Applications 345 (2005) 1, pp. 17-34

The projection operator method is applied to isotropic random flow field. This application derives a model of a time … numerical simulation near the initial time. It is concluded that the projection operator method is useful to exhibit …

Persistent link: https://www.econbiz.de/10010590769

Drastic violation of the U-matrix boundary condition by quantum-field theoretical on-shell renormalization and a new consistent renormalization concept involving bound-state problems

Seke, J. - In: Physica A: Statistical Mechanics and its Applications 312 (2002) 3, pp. 392-420

By generalizing the Gell-Mann–Low formula and applying the self-consistent projection-operator method, developed a … achieved in the present paper by elaborating a consistent renormalization procedure, based on the self-consistent projection-operator … method (which, unlike the standard perturbation method, guarantees the consistency of the applied approximation to any order …

Persistent link: https://www.econbiz.de/10010872085