Goes, Mathematical foundations of thermodynamics, Pergamon, Oxford, 1964.Į. Duislermaat, Energy and entropy as real morphisme for addition and order, Synthese 18 (1968), 327–393. Coma, The foundations of thermodynamics, J. Carathtodory, Untersuchung fiber die Grundlagen der Thermodynamik, Math. Buchdahl, The concepts of classical thermodynamics, Cambridge Univ. Bowing, An axiomatic approach to classical thermodynamics, Proc. This article presents you a more accurate picture of the spacetime envisioned by Albert Einstein.J. Most popular science explanations of the theory of general relativity are very nice-looking. Spacetime of General Relativity Spacetime of General Relativityīy Lê Nguyên Hoang | Updated:2016-01 | Views: 14051 This article presents the most important features of the theory. Yet, it's also probably the most misunderstood theory, because it constantly contradicts common sense. Quantum mechanics is the most accurate and tested scientific theory, Its applications to real life are countless, as all new technologies are based on its principles. The Essence of Quantum Mechanics The Essence of Quantum Mechanicsīy Lê Nguyên Hoang | Updated:2016-02 | Views: 11428 This article pays tribute to the great scientist by introducing age difference as he liked to tell it. This remark was the insight the late science popularizer Albert Jacquart liked to give to his readers to explain logarithms. Logarithms and Age Counting Logarithms and Age Countingīy Lê Nguyên Hoang | Updated:2015-12 | Views: 8544Īmusingly, the age difference between a 45-year-old man and a 25-year-old woman doesn't seem as big as the age difference between them 20 years earlier, when the woman was a little 5-year-old girl. This article takes you through these scientists' journey! While mountaineers aim at tops of mountains, some scientists have sought the bottom of temperature scale with frequent surprising wonders at different scales. The Frontier of Cold: The Quest for Absolute Zero The Frontier of Cold: The Quest for Absolute Zeroīy Lê Nguyên Hoang | Updated:2016-02 | Views: 2455 And the best way I've found is to explain some of the brilliant ideas he had. Yet, unfortunately, he is virtually unknown to the public. Shannon's Information Theory Shannon's Information Theoryīy Lê Nguyên Hoang | Updated:2016-01 | Views: 51884Ĭlaude Shannon may be considered one of the most influential person of the 20th Century, as he laid out the foundation of the revolutionary information theory. Surprisingly, this speed is not constant. Recently, a lot of progress has been made by French 2010 Fields medalist Cédric Villani, as he managed to address rigorously the question of the speed of increase of entropy. This prevents mathematicians from using classical partial differential equations. This doesn’t sound like much, but it’s more or less the best we have proved! Like in the Navier-Stokes equation problem, the difficulty comes from the lack of regularity of functions which arise from their confinement in space for instance. For instance, it was only in 1973 that Lanford proved that Boltzmann’s equations actually held in a simple case for a certain time. Well, inaccessible so far…įinally, note that mathematically speaking, not much is fully understood regarding entropy of gases. And it’s quite a remarkable fact that the answer lies in the inaccessible secrets of the Big Bang. How can irreversibility emerge from reversibility? How can macroscopic information always go into microscopic information? It’s a shame that the increase of entropy is hardly ever connected to these questions, which, from a fundamental perspective, are particularly breathtaking. What I like about the second law of thermodynamics is that it really is a mathematical riddle. Here’s a great presentation by Sean Carroll: I think we’ve come to the point where I feel more comfortable letting an expert talk.
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