Atoms, Mechanics, and Probability: Ludwig Boltzmann's Statistico-mechanical Writings : an ExegesisOne 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 No preview available - 2021 |
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according analogy approach assumes assumption atoms average balls believed bodies Boltzmann equation calculations called collision compatible concept condition Consequently considerations considers constant constructive container corresponding defined definition depend derivation determine direct discrete distribution dynamics earlier element ensemble entropy equal equilibrium equipartition ergodic evolution explain expression external final forces formula function gases given gives heat Helmholtz hypothesis implies increase independent initial integral interacting introduced invariants kind kinetic energy kinetic-molecular later leads Loschmidt mass Maxwell Maxwell–Boltzmann Maxwell’s means measure mechanical memoir molecular molecules motion nature needed notes number of molecules obtained occur original parameters particles phase physics possible potential pressure principle probability problem proof proved reasoning regarded relation remains requires result reversal single space specific stationary statistical temperature theorem theory thermal thermodynamic variables variation velocity volume walls