Evgenii Rudnyi
Back to Boltzmann! Macrostate entropy. Non-equilibrium macrostates and microstates. Entropy of non-equilibrium states and kinetics. Non-equilibrium statistical mechanics in practice.
Evgenii Rudnyi
Maxwell's demon. Brownian motion and the second law. Smoluchowski: naturalization of Maxwell's demon. Szilard's demon. Brillouin: negentropy principle of information. Landauer and thermodynamics of computation.
Evgenii Rudnyi
Maxwell and Gibbs on the role of perception. Shannon information theory. Arrival of information in statistical mechanics. Edwin Jaynes and principle of maximum information entropy. Carnap on the objectivity of entropy.
Evgenii Rudnyi
The evolution of Ludwig Boltzmann's views. Loschmidt paradox and statistical foundations. Zermelo paradox and fluctuation hypothesis. Boltzmann's Suicide. Statistical interpretation of the second law. Gibbs statistical entropy. Phase space mixing
Evgenii Rudnyi
Key events in the development of statistical mechanics. Probability distribution and phase space. Microcanonical and canonical distribution. Partition function for ideal polyatomic gas.
Evgenii Rudnyi
Classical statistical mechanics. Quantum statistical mechanics. The Born-Oppenheimer Approximation. Molecular Mechanics and Molecular Dynamics. Quantum effects in the quasi-classical approximation.
Evgenii Rudnyi
Entropy in classical thermodynamics. Non-equilibrium states in discontinuous systems. From temperature field to non-equilibrium thermodynamics. Limits of applicability of classical thermodynamics.
msuzen
Preamble Probably, one of the most fundamental issue in classical statistical mechanics is extending reversible dynamics to many-particle systems that behaves irreversibly. In other words, how time's arrow appears even though constituted systems evolves in reversible dynamics. This is the main...
msuzen
Boltzmann (Wikipedia)Post covers the papers: H-theorem do-conjecture, M. Süzen, arxiv:2310.01458 (2023) PreambleProbably the most important achievement for humans is the ability to produce scientific discoveries, that helps us objectively understand how nature works and build artificial tools...
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msuzen
Jacob Bekenstein (Wikipedia) Preamble Thermodynamics of black holes has appeared as one of the most interesting areas of research in theoretical physics [Wald1994], specially after LIGO's massive success. The striking results of Jacob Bekenstein [Bekenstein1973] in proposing a formulation of...
msuzen
Preamble Sample space is the primary concept introduced in any probability and statistics books and in papers. However, there needs to be more clarity about what constitutes a sample space in general: there is no explicit distinction between the unique event set and the replica sets. The...