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...
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, ...
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. ...
The maximum entropy generation rate paradox concept in non-dimensionalising the entropy generation rate equation with capacity rate point out using more appropriate means of non-dimensionalising. For nearly ideal heat exchanger with nearly balanced capacity rate, they obtained an expression for the ...
A gravity equation for commuting with an application to estimating regional border effects in Belgium (2010) Entropy in urban and regional modelling: retrospect and prospect. Geographical analysis, 42: 364–394], a workhorse model from spatial interaction ... D Persyn,W Torfs - 《Journal of Econ...
An implication is that a shock wave in an entropy weak solution to the Degasperis–Procesi equation is admissible only if it jumps down in value (... GM Coclite,KH Karlsen - 《Journal of Differential Equations》 被引量: 83发表: 2006年 The interaction of an isotropic field of acoustic wa...
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...
An essential feature of an entangled joint state ( entanglement) of two physical systems A, B is that the state of each subsystem is always mixed even though the joint state of the bipartite system may be pure . The entropy of the subsystems can therefore be used to quantify the entangleme...
as the ‘qubit.’ By analogy with the term ‘bit’, the term ‘qubit’ refers to the basic unit of quantum information in terms of the von Neumann entropy, and to an elementary two-state quantum system considered as representing the possible outputs of an elementary quantum information source...
Hartley defined the amount of information ℎ(𝑋) associated with the finite set X as the logarithm to some base b of the 𝑋′𝑠 size, as shown in Equation (3). This amount is known as Hartley entropy and is related to the particular cases of Rényi entropy (see Section 2.4.1)...