The concept of dissipative systems is also applied in physics to nonmechanical systems in all cases when the energy of an orderly process is transformed into energy of a disorderly process—in the final analysis, into thermal energy. Thus, a system of circuits in which oscillations of electric ...
Dissipative adaptation is a general thermodynamic mechanism that explains self-organization in a broad class of driven classical many-body systems. It establishes how the most likely (adapted) states of a system subjected to a given drive tend to be thos
In the gauge in which \({w}_{0}=\sqrt{\rho (0)}\), \({{\mathscr{U}}}_{\mu \nu }={\rm{Tr}}(\rho {F}_{\mu \nu })\) acquires the meaning of a mean Uhlmann curvature (MUC). It can be shown that (see Methods) $${{\mathscr{U}}}_{\mu \nu }=\frac{i}{4}{...
a heat flux, the definition of the velocity in terms of the mass flux density (as in non-relativistic fluid dynamics) has no direct meaning. We now define the velocity by the condition that, in the proper frame of any given fluid element, the momentum of the element is zero and its ...
n76100* --physics (theoretical)--generalthermodynamics-- entropyquantum mechanicsreviewsA short survey of the phenomenological formulation of the second law and of dissipative structures is presented. The microscopic meaning of entropy and entropy production is then discussed in terms of our formulation ...
(3) In general, the dynamics of a nanostructure's active region is non-unitary and non-Markovian (i.e., memory effects are important, meaning that the system remembers how it got to a certain state and its future direction of evolution depends not only on the state it is currently in,...
but is allowed to have an arbitrary time dependence. An invariantQ00is obtained in terms of linearly independent solutions. A semipositive definite version of this quantity is the Ermakov invariant. This scenario including damping, allow us to give a physical meaning to a closely related quantityE...
With time, however, "stability" has taken on a broader meaning. We find references to the stability of an orbit, of a laser's mode of oscillation, or of a set of biological populations. Harry L. Swinney and Jerry P. Gollub recently discussed the stability of liquid flow patterns in...
On the other hand in the pure HN model the 1D elliptical spectral manifold will generally intersect the stationary region |z| = 1 only at four points, again meaning that only a limited amount of the modes will remain quasistationary and do not decay or grow exponentially....
the time crystalline order remains persistent. Our experiments also show that the self-organized periodic oscillations coexist with the intrinsic optical instability phase of erbium ions27, meaning the time crystalline order persists even amidst irregularly oscillating instabilities as fast as ~50 MHz....