First-Principle Derivation of Entropy Production in Transport Phenomena

Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy

Absrmez-Jaynes’s principle of m@mum entropy and KuUba&‘s priodple of min imum cromentropy (mhlmum dire&d dfvergenoe) are shown tobeunfquelycomxtmethodsforhductiveinf~whennewinformnt ionlsghninthefomlofexpe&edvalues.ReviousjILstit icatioaslLve htuiUvearguma@andrelyonthepro~ofentropyanderossenhppy lasinfmersmes.‘Illeapproarbben?that reasoMble methodsofhductiveinfere~shouidleedto~nsistentresuitswh...

Entropy Principle in Direct Derivation of Benford's Law

The uneven distribution of digits in numerical data, known as Benford's law, was discovered in 1881. Since then, this law has been shown to be correct in copious numerical data relating to economics, physics and even prime numbers. Although it attracts considerable attention, there is no a priori probabilistic criterion when a data set should or should not obey the law. Here a general criterion...

The Minimum Entropy Production Principle

It seems intuitively reasonable that Gibbs' variational principle de­ termining the conditions of heterogeneous equilibrium can be gener­ alized to nonequilibrium conditions. That is, a nonequilibriurn steady state should be the one that makes some kind of generalized-entropy production stationary; and even in the presence of irreversible fluxes, the condition for migrational equilibrium should...

Numerical Simulation of Transport Phenomena in Nuclear Cores

Electronic transport in Si and Au monoatomic chains considering strongly correlation effect, a first principle study

We have investigated structure and electronic properties of Au and Si liner chains using the firstprinciplesplane wave pseudopotential method. The transport properties and conductance of these twoliner chains are studied using Landauer approaches based on density functional theory (DFT). Weobtain density of states and band gap using Kohn-Sham and Wannier functions as well as quantumconductivity...