Results 221 to 230 of about 22,756 (260)

Why Equilibrium? Understanding Entropy of Mixing

Journal of Chemical Education, 1999
To help students understand entropy and the origin of equilibrium, it is useful to explicitly calculate the components of the Gibbs free energy. This can be done if the reaction is a gas-phase reaction at moderate pressure. In this case, reactants and products can be treated as ideal gases.
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Gibbs' paradox for entropy of mixing

Journal of Chemical Education, 1985
The general relations for entropy of ideal mixing of fluids at constant temperature and identical initial pressures for liquids and gases are applicable whether or not the various samples have diff...
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Entropy of mixing of liquid metal alloys

Physica B+C, 1982
Abstract An analysis of the dependence of entropy of mixing on the concentration of the constituents in alloy has been presented, based on the hard-sphere reference system. The parameters of the hard-sphere system, as calculated by fitting the excess entropy at equiatomic concentration, provide results comparable with those obtained by the ...
K.N. Khanna, P. Singh
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Control of fluid mixing using entropy methods

Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 1998
We consider the problem of motion planning for fluid mixing. The control problem consists of determining the flow that will mix best among the ones achieved by composing purely horizontal and vertical shears on a two dimensional torus. This is a prototypical problem for many practical fluid flow applications, and describes the basic stretching and ...
D. D'Alessandro, M. Dahleh, I. Mezic
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Entropy of a one-dimensional mixed lattice gas

Journal of Statistical Physics, 1990
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entropies of Mixing (EOM) and the Lorenz Order

Open Systems & Information Dynamics, 2006
Polynomial nonadditive, or pseudo-additive (PAE), entropies are related to the Shannon entropy in that both are derived from two classes of parent distributions of extreme-value theory, the Pareto and power distributions. The third class is the exponential distribution, corresponding to the Shannon entropy, to which the other two tend as their shape ...
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Janus Nanoparticles Enable Entropy-Driven Mixing of Bicomponent Hydrogels

Langmuir, 2019
Mixing incompatible polymers in water to form homogeneous hydrogels possessing both hydrophilic and lipophilic components is challenging due to high enthalpic penalty and negligible entropic gain in total Gibbs free energy. Here we performed dissipative particle dynamics simulations and machine learning to uncover the influence of Janus nanoparticles ...
Shensheng Chen, Xin Yong
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Entropy of mixing of liquid binary alloys

Journal of Physics F: Metal Physics, 1980
Flory's formula (1942) for the entropy of mixing is applied to a binary mixture of hard spheres. The results from this approach are compared with those obtained from hard-sphere model calculations and the validity of Flory's formula is discussed.
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CHECKERBOARD COPULAS OF MAXIMUM ENTROPY WITH PRESCRIBED MIXED MOMENTS

Journal of the Australian Mathematical Society, 2018
In modelling joint probability distributions it is often desirable to incorporate standard marginal distributions and match a set of key observed mixed moments. At the same time it may also be prudent to avoid additional unwarranted assumptions. The problem is to find the least ordered distribution that respects the prescribed constraints.
Borwein, Jonathan, Howlett, Phil
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Entropy of Mixing of Dilute Polymer Solutions

The Journal of Chemical Physics, 1957
The entropy of mixing of dilute solutions of high polymers has been calculated. The expression obtained employs a molecular dimension obtained from the intrinsic viscosity, contains no arbitrary constants, and appears to be valid from zero to about two percent polymer, the limit of the osmotic pressure data used.
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