When discussing research in physics and in science more generally, it is common to ascribe
equal importance to the three components of the scientific trinity: theoretical, experimental …

The understanding of fluid turbulence has considerably progressed in recent years. The
application of the methods of statistical mechanics to the description of the motion of fluid …

Mixing of initially distinct substances plays an important role in our daily lives as well as in
ecological and technological worlds. From the continuum point of view, which we adopt …

Fluid dynamics turbulence refers to the chaotic and unpredictable dynamics of flows.
Despite the fact that the equations governing the motion of fluids are known since more than …

Several simple mathematical models for the turbulent diffusion of a passive scalar field are
developed here with an emphasis on the symbiotic interaction between rigorous …

This volume provides a general field-theoretical picture of critical phenomena and stochastic
dynamics and helps readers develop a practical skill for calculations. This education on the …

These notes originated from a series of lectures given at Waseda University in April–May
2021, supported by Top Global University Project of Waseda University. The first author …

First measurements of the mass and width of the Z0 performed at the newly commissioned
LEP Collider by the DELPHI Collaboration are presented. The measuements are derived …

The anomalous scaling in the Kraichnan model of advection of the passive scalar by a
random velocity field with nonsmooth spatial behavior is traced to the presence of slow …

Field theoretical renormalization group methods are applied to the Obukhov-Kraichnan
model of a passive scalar advected by the Gaussian velocity field with the covariance< v (t …