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Results tagged with entropy
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user 55734
An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.
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Mathematical proof of the Second Law of Thermodynamics
There is a new statement on the second law: "irreversibility root in a fundamental principle: the gradients of the four thermodynamic forces spontaneously tend to zero". Please see
http://arxiv.org/a …
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Accepted
Mathematical proof of the Second Law of Thermodynamics
difference of functions (please see bellow, Euler’s equation), the physical image of the entropy and both the second law are not clear, that is why we cannot explain the physical meaning of entropy according … \end{align}
This is a non- equilibrium thermodynamic equation.
5) Prove the total differential of the entropy production $d_iS\ge0$. …
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How do you prove the second law of thermodynamics from statistical mechanics?
In statistical mechanics, tending to the most probable distribution is a probability, and for Boltzmann' entropy, $dS\ge 0$ is also a probability but not an inevitable result. …
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What is entropy really?
2) Clausius’ definition cannot explain the physical meaning of the entropy. … 2) The equation cannot explain the physical meaning of the entropy.
3) Boltzmann entropy
\begin{align}S=k\ln\Omega. …
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Definition of entropy in thermodynamics
In fact, $\delta Q/T$ is the entropy of $\delta Q$, and if $\delta Q$ is considered as the heat energy in transfer, it follows that $\delta Q/T$ is the entropy in transfer. … \end{align}
Where $d_eS $ denotes the entropy flux, and $d_iS $ denotes the entropy production. …
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