The Physics of Phase Space: Nonlinear Dynamics and Chaos, Geometric Quantization,and Wigner Function (Lecture Notes in Physics, 278) by Young S. Kim (PDF)
Author: Young S. Kim
File Type: PDF
Download at https://sci-books.com/the-physics-of-phase-space-nonlinear-dynamics-and-chaos-geometric-quantizationand-wigner-function-lecture-notes-in-physics-278-3662136538/
#Thermodynamics, #YoungS.Kim

🐢📚 Ah, yes, the ancient art of "Thermodynamics for #FREE," where you can thrill at the prospect of mastering entropy with a 330-page #PDF that won’t cost you a dime—or a paperweight version for a mere 49 bucks. Because nothing screams "modern engineering" quite like downloading a French-translated tome on SI units that no one asked for. 🎉🤓
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Maximum Entropy and Bayesian Methods: Laramie, Wyoming, 1990 (Fundamental Theories of Physics Book 43) 1991st Edition by W.T. Grandy Jr. (PDF)
Author: W.T. Grandy Jr.
File Type: PDF
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#Thermodynamics, #W.T.GrandyJr.

Chaos ― The Interplay Between Stochastic and Deterministic Behaviour: Proceedings of the XXXIst Winter School of Theoretical Physics Held in Karpacz, ... February 1995 (Lecture Notes in Physics, 457) by Piotr Garbaczewski (PDF)
Author: Piotr Garbaczewski
File Type: PDF
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#Thermodynamics, #PiotrGarbaczewski

Solitons: Introduction and Applications (Springer Series in Nonlinear Dynamics) by Muthusamy Lakshmanan (PDF)
Author: Muthusamy Lakshmanan
File Type: PDF
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#Thermodynamics, #MuthusamyLakshmanan

The #paperOfTheDay is a classic of #thermodynamics : "Equation of state in the Neighborhood of the critical point" from 1965. Here, Benjamin Widom introduces what is now known as "Widom scaling".
Generically, the properties of a fluid might depend on parameters, such as temperature or density, through power laws. There are certain critical points in the phase space, i.e. certain temperatures, densities, etc., where the behaviour of the fluid changes qualitatively. The observation is that close to the critical point, the exponents of the various power laws have different numerical values than what one would expect classically. For example, the specific heat diverges at a power law, but the exponent of divergence is not what one would expect from the conventional equation of state.
Widom's paper now makes a specific conjecture: Near a critical point, the equation of state should be altered by introducing an arbitrary function of density of temperature, however, this function is assumed to be homogeneous. That is if x is temperature and y is density, it is a function of the form e.g. x^c * f(y/x), where f is an arbitrary function of y/x, and c is a constant. It turns out that almost all experimental observations can be described from this conjecture without knowing the functional form of f. The scaling exponent c alone is sufficient to give rise to the non-classical power laws and the relations between them.
This paper is significant because it is an early (and purely heuristic) version of universality: The behaviour of systems in #statisticalPhysics at the critical point is largely determined from structural properties, independently of concrete details.
https://pubs.aip.org/aip/jcp/article-abstract/43/11/3898/210917/Equation-of-State-in-the-Neighborhood-of-the?redirectedFrom=fulltext