This equation definesSsystemas athermodynamicstate variable, meaning that its value is completely determined by the current state of the system and not by how the system reached that state. Entropy is anextensiveproperty in that its magnitude depends on the amount of material in the system. ...
If we substitute these values into Equation (11), we get H(Y|X)=0bits (note that 0log0=0). This also makes sense. For the compression scheme described here, if we know the source output, we know 4 bits, the first 3 of which are the reconstruction. Therefore, in this example, ...
in the Jarzynski equality and fluctuation relations and other tools of stochastic thermodynamics, using large deviation theory or others. When recognized as an inference principle, entropy maximization can be generalized for non-equilibria and applied to path entropies rather than state entropies, becomi...
M is used for the total number of possible hashes and an equation is formed by explicitly specifying that the expression in the posting is approximately equal to 1/n.More importantly, the above equation isn't in a form conducive to our entropy string needs. The equation was derived for a...
the equation—the more players in the game—the less likely it is that their paths will coincide in an orderly way. The more pieces in the puzzle, the harder it is to put back together once order is disturbed. “Irreversibility,” said a physicist, “is the price we pay for complexity...
Careful study of the equations that govern the entropy shows that the inviscid entropy profile has a local maximum within the shock layer. We demonstrate that because of this phenomenon, the entropy, propagation equation cannot be used as a conservation law....
But the more factors in the equation—the more players in the game—the less likely it is that their paths will coincide in an orderly way. The more pieces in the puzzle, the harder it is to put back together once order is disturbed. “Irreversibility,” said a physicist, “is the ...
An example is constructed of an equation Δu = q(x)u on the plane with bounded coefficien... VZ Meshkov - Mathematics of the USSR-Sbornik 被引量: 109发表: 1992年 Large deviation and the tangent cone at infinity of a crystal lattice We discuss a large deviation property of a periodic ...
equationEntropy of an ideal gasEntropy of a pure thermal systemEntropy of a pure substance#Entropy – A thermodynamic property#The temperature-entropy diagram#The 'T-ds' equation#Entropy of an ideal gas#Entropy of a pure thermal system#Entropy of a pure substance#Principle of Increase of ...
The calculation grid is shown in Fig. 2. Table 2 Grid independence test. Full size table Figure 2 Calculation grids. Full size image Turbulence model The SST k–ω turbulence model is a two-equation eddy viscosity model that considers the turbulent shear force in the turbulent viscosity and ...