Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical Writings - An ExegesisOxford University Press, 9 lut 2018 - 560 One of the pillars of modern science, statistical mechanics, owes much to one man, the Austrian physicist Ludwig Boltzmann (1844-1906). As a result of his unusual working and writing styles, his enormous contribution remains little read and poorly understood. The purpose of this book is to make the Boltzmann corpus more accessible to physicists, philosophers, and historians, and so give it new life. The means are introductory biographical and historical materials, detailed and lucid summaries of every relevant publication, and a final chapter of critical synthesis. Special attention is given to Boltzmann's theoretical tool-box and to his patient construction of lofty formal systems even before their full conceptual import could be known. This constructive tendency largely accounts for his lengthy style, for the abundance of new constructions, for the relative vagueness of their object--and for the puzzlement of commentators. This book will help the reader cross the stylistic barrier and see how ingeniously Boltzmann combined atoms, mechanics, and probability to invent new bridges between the micro- and macro-worlds. |
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Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-mechanical ... Olivier Darrigol Ograniczony podgląd - 2018 |
Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-Mechanical ... Olivier Darrigol Podgląd niedostępny - 2021 |
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analogy assumption atoms average kinetic energy behavior Boltz Boltzmann equation canonical center of mass Clausius Clausius's coefficients colliding molecules collision formula collision number compatible condition constant coordinates defined degrees of freedom derivation discrete dynamics elastic element energy shell entropy equilibrium distribution equipartition equipartition theorem ergodic hypothesis evolution finite given H curve H function H theorem Hamiltonian Helmholtz implies initial interacting invariants kind kinetic energy kinetic theory kinetic-molecular theory large number Liouville's theorem live force Lorentz Loschmidt macroscopic mathematical Maxwell Maxwell-Boltzmann distribution Maxwell's distribution mechanical system memoir microcanonical distribution microcanonical ensemble microstates molecular monocyclic systems motion number of collisions number of molecules parameters particles phase Planck polyatomic molecules potential probabilistic proof reasoning reciprocal collisions result reversal second law specific heat stationary ensembles statistical statistical independence temperature theory of gases thermal equilibrium thermodynamic systems trajectory v₁ variables velocity distribution wherein Zermelo