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Classical Statistical Mechanics
2021This chapter focusses mainly upon the classical mechanical evaluation of the partition function for a gas of structureless atoms, and begins with a discussion of energy equipartition. The role of interatomic interactions is examined using the grand partition function, as it enables a more convenient separation of the roles played by kinetic and ...
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Classical model of intermediate statistics
Physical Review E, 1994In this work we present a classical kinetic model of intermediate statistics. In the case of Brownian particles we show that the Fermi-Dirac (FD) and Bose-Einstein (BE) distributions can be obtained, just as the Maxwell-Boltzmann (MB) distribution, as steady states of a classical kinetic equation that intrinsically takes into account an exclusion ...
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Classical Statistical Mechanics
1993Matter on the macroscopic scale always consists of a very large number of particles (atoms or molecules). The number of particles in the macroscopic volume element of a cubic meter or a liter is of the order of magnitude of 1023. It is self-evident that it makes no sense to try to write out and solve the equations of motion for this number of particles.
Josef Honerkamp, Hartmann Römer
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Classical Statistical Inference
2014This chapter introduces the main concepts of statistical inference, or drawing conclusions from data. There are three main types of inference: point estimation, confidence estimation, and hypothesis testing. There are two major statistical paradigms which address the statistical inference questions: the classical, or frequentist paradigm, and the ...
Željko Ivezi +7 more
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2018
The Thermodynamics, discussed in Vol. 5 of this basic course in Theoretical Physics, is a phenomenological theory, which, being based on a few fundamental postulates (laws of thermodynamics), describes macroscopic systems in equilibrium with the help of a few variables as, for instance, pressure, volume, temperature, particle density, … .
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The Thermodynamics, discussed in Vol. 5 of this basic course in Theoretical Physics, is a phenomenological theory, which, being based on a few fundamental postulates (laws of thermodynamics), describes macroscopic systems in equilibrium with the help of a few variables as, for instance, pressure, volume, temperature, particle density, … .
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Classical Statistical Mechanics
1981Statistical mechanics is the bridge between molecular science and continuum mechanics. The input to statistical mechanics is a force law between particles. The particles can be atoms in a crystal, molecules in a gas or liquid, electrons in a plasma, amino acid units in a protein, elementary constituents in a complex polymer, etc.
James Glimm, Arthur Jaffe
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1974
In an area where there is so much acknowledged turmoil, such outspoken disagreement, and in which so many divergent points of view are so strongly represented as in statistics today, it is almost anomalous to refer to one particular theory as the ‘classical’ one. It is the stranger to use this term, in that the theory to which it is applied may be said
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In an area where there is so much acknowledged turmoil, such outspoken disagreement, and in which so many divergent points of view are so strongly represented as in statistics today, it is almost anomalous to refer to one particular theory as the ‘classical’ one. It is the stranger to use this term, in that the theory to which it is applied may be said
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Classical Statistical Inference
2017This chapter introduces the classical statistical approach for system identification in a general context. This is commonly referred as a ‘non-Bayesian’ approach and is currently the conventional perspective in operational modal analysis. Basic quantification of statistical estimators are presented and illustrated with examples.
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Memorial to the Classical Statistics
Bell System Technical Journal, 1943ONE of the most elusive and perplexing, hazy and confusing of the parts of theoretical physics is that which bears the name of “statistical mechanics”.∗ On the principle that a tree is to be judged by its fruits, this must be ranked as high as the tree which bore the golden apples of the Hesperides; for among its fruits are the Maxwell-Boltzmann ...
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