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pro vyhledávání: '"Boltzmann's entropy"'
In this work we study the evolution of Boltzmann's entropy in the context of free expansion of a one dimensional interacting gas inside a box. Boltzmann's entropy is defined for single microstates and is given by the phase-space volume occupied by mi
Externí odkaz:
http://arxiv.org/abs/2211.06145
Publikováno v:
Revista Brasileira de Ensino de Física, Vol 46 (2024)
In a previous paper, we have mathematically derived the Schrödinger equation using the construct of a Characteristic Function. We have shown that this derivation has a great number of consequences and may help to understand what Quantum Mechanics is
Externí odkaz:
https://doaj.org/article/65ccfe94effb432485b0ac0fc86758b9
Autor:
Chakraborti, Subhadip1,2 (AUTHOR) subhadip.chakraborti@fau.de, Dhar, Abhishek1 (AUTHOR), Kundu, Anupam1 (AUTHOR)
Publikováno v:
Journal of Statistical Physics. Apr2023, Vol. 190 Issue 4, p1-20. 20p.
Autor:
Mondal, Sangita, Bagchi, Biman
Maxwell's velocity distribution is known to be universally valid across systems and phases. Here we present a new and general derivation that uses the central limit theorem (CLT) of the probability theory. This essentially uses the idea that repeated
Externí odkaz:
http://arxiv.org/abs/2206.05180
Akademický článek
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Autor:
McCann, Robert J
Publikováno v:
Cambridge Journal of Mathematics 8:3 (2020) 609-681
On a Riemannian manifold, lower Ricci curvature bounds are known to be characterized by geodesic convexity properties of various entropies with respect to the Kantorovich-Rubinstein-Wasserstein square distance from optimal transportation. These notio
Externí odkaz:
http://arxiv.org/abs/1808.01536
Autor:
Fong, Frederick Tsz-Ho
We study a Boltzmann's type entropy functional (which appeared in existing literature) defined on K\"ahler metrics of a fixed K\"ahler class. The critical points of this functional are gradient K\"ahler-Ricci solitons, and the functional was known to
Externí odkaz:
http://arxiv.org/abs/1605.08019
Boltzmann's Entropy and Large Deviation Lyapunov Functionals for Closed and Open Macroscopic Systems
Autor:
Lebowitz, Joel L.
I give a brief overview of the resolution of the apparent problem of reconciling time symmetric microscopic dynamic with time asymmetric equations describing the evolution of macroscopic variables. I then show how the large deviation function of the
Externí odkaz:
http://arxiv.org/abs/1112.1667
Autor:
Rossler, Otto E., Movassagh, Ramis
Publikováno v:
International Journal of Nonlinear Sciences and Numerical Simulation 6(4), 349-350, 2005
Sinai chaos is characterized by exponential divergence between neighboring trajectories of a point billiard. If the repulsive potential of the finite-diameter fixed particle in the middle of the table is made smooth, the Sinai divergence persists wit
Externí odkaz:
http://arxiv.org/abs/0811.0124
Autor:
Abdo Abou Jaoude
Publikováno v:
Systems Science & Control Engineering, Vol 6, Iss 1, Pp 108-149 (2018)
The Andrey Nikolaevich Kolmogorov's classical system of probability axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed
Externí odkaz:
https://doaj.org/article/42c98d944e8a44e68ff27bdca191e226