That is, the parameter u entering the dissipator in the Lindblad master equation (302a) must be scaled as u∼ts−κ, meaning that the scaling variable Γs=utsκ has to be kept fixed. In contrast, if the dissipation strength u is not changed with ts, no dynamic scaling can be ...
system energy evolution, as well as allowing the highlighting of the mutually exclusive roles of dissipation and reversibility when the system approaches its equilibrium conditions (where 'equilibrium' must be interpreted in its most general meaning, either as 'static equilibrium' or as 'steady state...
As a point of clarification, we note that the term Brillouin lasers is traditionally associated with systems in which the lasing threshold is defined by the rate of generation of Stokes photons matching the Stokes decay rate, meaning that it can only occur in systems where κ < Γ. Beyond th...
Assuming that a constant potential energy function has meaning for a dissipated harmonic oscillator, then an important issue is the time dependence of the turning points. Turning point studies demonstrate that the common model of external (viscous) damping fails to properly describe those many systems...
Superconductivityis a fascinating phenomenon in which, below a so-called critical temperature, a material loses all its resistance to electrical currents. In certain materials, at low temperatures, all electrons are entangled in a single, macroscopic quantum state, meaning that they no longer be...
Once the palm decelerates in the rebounding direction, meaning the palm cannot push the ball anymore, the objects detach, and the process enters stage 3, when the dynamics Eq. (4) can be reused. Meanwhile, we calculate the gas flow and pressure change in the system. The equation for finge...
in ref. 30, possess zero viscosity in general, meaning that the dissipative mechanisms of conventional fluids are absent (even in curved spaces) and kinetic energy is thus totally conserved. Still, since inertial forces are also present in superfluids, we expect curvature to mainly cause ...
We generically call it the “collision” term although it may have a more general meaning due to the effect of the external perturbation (see Sect.15). A more proper name could be the “correlational” term. We assume that the background potential of the system is stationary and integrable...
The Earth's oceanic tides are typically responsible for nearly ∼90−95% of the tidally dissipated energy (e.g. Egbert and Ray 2001), meaning that they primarily drive the long-term evolution of the Earth-Moon distance and Earth length-of-day (e.g. Webb 1982; Daher et al. 2021; ...
Von Mises yield surface in principal stress space. The von Mises cylinder is an infinite cylinder, meaning that the elastic domain for this yield condition expands infinitely along the hydrostatic axis in the direction of both positive and negative pressure. Considering the plastic deformation ...