in this paper, we calculate theoretically the relaxation rates of hot, thermal and antinodal quasiparticles by using fermi’s golden rule. the transition probabilities at low temperatures express in terms of bogoliubov coefficients, singlet and triplet scattering amplitudes and dimensionless landau parameters. the values of landau parameters may be determined by comparison with the experimental ...

The cubic complex one-dimensional Ginzburg–Landau equation is considered. Using the Hone’s method, based on the use of the Laurent-series solutions and the residue theorem, we have proved that this equation has neither elliptic standing wave no elliptic travelling wave solution. This result amplifies the Hone’s result, that this equation has no elliptic travelling wave solution.

Following previous experimental and computational studies, we further investigate the applicability of the Stuart-Landau equation to describe the Hopf bifurcation occurring for flow past a circular cylinder. In contrast to previous findings, it is shown that when the amplitude variable is taken as the transverse velocity component at a point in the wake, the so-called Landau constant varies con...