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Books on the topic 'Maxwell-Boltzmann distribution law'

Author: Grafiati
Published: 4 June 2021
Last updated: 29 January 2023

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1

Hydrodynamic limits of the Boltzmann equation. Springer, 2009.

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2

Stochastic dynamics and Boltzmann hierarchy. Walter de Gruyter, 2009.

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3

1973-, Villani Cédric, and Centre Émile Borel, eds. Entropy methods for the Boltzmann equation: Lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001. Springer, 2008.

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4

Alexeev, Boris V. Generalized Boltzmann physical kinetics. Elsevier, 2004.

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5

Bach, Alexander. Indistinguishable classical particles. Springer, 1997.

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6

Rezakhanlou, Fraydoun, Cédric Villani, Stefano Olla, and François Golse. Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris 2001. Springer London, Limited, 2007.

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7

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models (Series on Advances in Mathematics for Applied Sciences). World Scientific Publishing Company, 2000.

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8

Alexeev, Boris V. Generalized Boltzmann Physical Kinetics. Elsevier Science & Technology Books, 2004.

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9

Wolf-Gladrow, Dieter A. Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction. Springer London, Limited, 2004.

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10

Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (Lecture Notes in Mathematics). Springer, 2000.

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11

Generalized kinetic models in applied sciences: Lecture notes on mathematical problems. World Scientific, 2003.

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12

Jr, Thorne Daniel T., Michael C. Sukop, and Daniel T. Thorne. Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers. Springer London, Limited, 2007.

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13

Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers. Springer, 2005.

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14

Clarke, Andrew. Energy and heat. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199551668.003.0002.

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Energy is the capacity to do work and heat is the spontaneous flow of energy from one body or system to another through the random movement of atoms or molecules. The entropy of a system determines how much of its internal energy is unavailable for work under isothermal conditions, and the Gibbs energy is the energy available for work under isothermal conditions and constant pressure. The Second Law of Thermodynamics states that for any reaction to proceed spontaneously the total entropy (system plus surroundings) must increase, which is why metabolic processes release heat. All organisms are thermodynamically open systems, exchanging both energy and matter with their surroundings. They can decrease their entropy in growth and development by ensuring a greater increase in the entropy of the environment. For an ideal gas in thermal equilibrium the distribution of energy across the component atoms or molecules is described by the Maxwell-Boltzmann equation. This distribution is fixed by the temperature of the system.
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15

Darrigol, Olivier, and Jürgen Renn. The Emergence of Statistical Mechanics. Edited by Jed Z. Buchwald and Robert Fox. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199696253.013.26.

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This article traces the history of statistical mechanics, beginning with a discussion of mechanical models of thermal phenomena. In particular, it considers how several circumstances, including the establishment of thermodynamics in the mid-nineteenth century, led to a focus on the model of heat as a motion of particles. It then describes the concept of heat as fluid and the kinetic theory before turning to gas theory and how it served as a bridge between mechanics and thermodynamics. It also explores gases as particles in motion, the Maxwell–Boltzmann distribution, the problem of specific heats, challenges to the second law of thermodynamics, and the probabilistic interpretation of entropy. Finally, it examines how the results of the kinetic theory assumed a new meaning as cornerstones of a more broadly conceived statistical physics, along with Josiah Willard Gibbs and Albert Einstein’s development of statistical mechanics as a synthetic framework.
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