in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

by Ethan Perez Entropy generation in a highly-loaded, axial turbine stage was investigated at on and off-design conditions. Deviation angle, total pressure, total temperature, and specific entropy change were measured experimentally and used as validation for a RANS simulation. A RANS entropy transport model was proposed in order to decompose entropy transport into reversible and irreversible c...

background the importance of proper qualitative evaluation of eeg parameters during surgery has been recognized since many years. although none of the characteristics based on the frequency, entropy, and bi spectral characteristics have been regarded as a good predictor for detection of the depth of anesthesia alone. so it seems necessary to study multiple characteristics together. objectives i...

Suppose we continue to consider our two systems, and ask what happens if we allow them to exchange volume as well as energy? (We’re placing them in mechanical as well as thermal contact.) Again, the total entropy must be a maximum with respect to exchanges of energy and exchanges of volume. Working through similar mathematics, we find an expression for the change in total entropy and insist tha...

We report a model-independent measurement of the entropy, energy, and critical temperature of a degenerate, strongly interacting Fermi gas of atoms. The total energy is determined from the mean square cloud size in the strongly interacting regime, where the gas exhibits universal behavior. The entropy is measured by sweeping a bias magnetic field to adiabatically tune the gas from the strongly ...

The entropy generation due to steady laminar forced convection fluid flow through parallel plates microchannel is investigated numerically. The effect of Knudsen, Reynolds, Prandtl, Eckert numbers and the nondimensional temperature difference on entropy generation within the microchannel is discussed. The fraction of the entropy generation due to heat transfer to the total entropy generation wi...

The pure quantum entanglement is generalized to the case of mixed compound states on an operator algebra to include the classical and quantum encodings as particular cases. The true quantum entanglements are characterized by quantum couplings which are described as transpose-CP, but not Completely Positive (CP), trace-normalized linear positive maps of the algebra. The entangled (total) informa...

The pure quantum entanglement is generalized to the case of mixed compound states on an operator algebra to include the classical and quantum encodings as particular cases. The true quantum entanglements are characterized by quantum couplings which are described as transpose-CP, but not Completely Positive (CP), trace-normalized linear positive maps of the algebra. The entangled (total) informa...

Entropy generation in two-dimensional Rayleigh-Bénard convection at different Prandtl number (Pr) are investigated in the present paper by using the lattice Boltzmann Method. The major concern of the present paper is to explore the effects of Pr on the detailed information of local distributions of entropy generation in virtue of frictional and heat transfer irreversibility and the overall entr...

The following corrections should be made to the published paper [1]: First, the paragraph beginning with “One might argue that . . . ” and ending with “. . . increase monotonically with time.” on page 8175 should be replaced by the following two corrected paragraphs: “One might argue that none of this matters and entropy is not a fundamental quantity; the only truly fundamental and natural valu...