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The origins of timeasymmetry in thermodynamics: The minus first law
 Studies In History and Philosophy of Modern Physics
, 2001
"... This paper investigates what the source of timeasymmetry is in thermodynamics, and comments on the question whether a timesymmetric formulation of the Second Law is possible. ..."
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This paper investigates what the source of timeasymmetry is in thermodynamics, and comments on the question whether a timesymmetric formulation of the Second Law is possible.
Irreversibility and the Second Law of Thermodynamics
, 2001
"... this paper is to provide some clarification by distinguishing three different meanings of the notion of (ir)reversibility and to study how they relate to different versions of the second law. A more extensive discussion is given in [23] ..."
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this paper is to provide some clarification by distinguishing three different meanings of the notion of (ir)reversibility and to study how they relate to different versions of the second law. A more extensive discussion is given in [23]
Insuperable difficulties: Einstein’s statistical road to molecular physics
, 2006
"... In this essay I analyze Einstein’s statistical papers from 1902–1904. In these papers, Einstein developed the foundations of a theoretical program that he applied to concrete problems in 1905 and in subsequent years. It combined skepticism about classical mechanics, a firm belief in molecules, and ..."
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In this essay I analyze Einstein’s statistical papers from 1902–1904. In these papers, Einstein developed the foundations of a theoretical program that he applied to concrete problems in 1905 and in subsequent years. It combined skepticism about classical mechanics, a firm belief in molecules, and absolute confidence in statistical principles. However, Einstein’s dissertation does not follow his statistical program. I conjecture that Einstein avoided his own theoretical ideas to win the approval of his Ph. D. advisor,
The Fundamental Concepts of Classical Equilibrium Statistical Mechanics
, 2003
"... A critical examination of some basic conceptual issues in classical statistical mechanics is attempted, with a view to understanding the origins, structure and status of that discipline. Due attention is given to the interplay between physical and mathematical aspects, particularly regarding the rol ..."
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A critical examination of some basic conceptual issues in classical statistical mechanics is attempted, with a view to understanding the origins, structure and status of that discipline. Due attention is given to the interplay between physical and mathematical aspects, particularly regarding the role of probability theory. The focus is on the equilibrium case, which is currently better understood, serving also as a prelude for a further discussion nonequilibrium statistical mechanics. 1
This is page i Printer: Opaque this Computational Thermodynamics Applied Mathematics: Body & Soul Vol 5
"... Applied Mathematics: Body&Soul is a mathematics education reform program including a series of books, together with associated educational material and open source software freely available from the project web page at www.bodysoulmath.org. Body&Soul reflects the revolutionary new possibilities of m ..."
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Applied Mathematics: Body&Soul is a mathematics education reform program including a series of books, together with associated educational material and open source software freely available from the project web page at www.bodysoulmath.org. Body&Soul reflects the revolutionary new possibilities of mathematical modeling opened by the modern computer in the form of Computational Calculus (CC), which is now changing the paradigm of mathematical modeling in science and technology with new methods, questions and answers, as a modern form of the classical calculus of Leibniz and Newton. The Body&Soul series of books presents CC in a synthesis of computational mathematics (Body) and analytical mathematics (Soul) including applications. Volumes 13 give a modern version of calculus and linear algebra including computation starting at a basic undergraduate level, and subsequent volumes on a graduate level cover different areas of applications with focus on computational methods:
Revisiting The Second Law of Energy Degradation and Entropy Generation: From Sadi Carnot’s Ingenious Reasoning to Holistic Generalization
"... Abstract. Sadi Carnot’s ingenious reasoning of reversible cycles (1824) laid foundations for The Second Law before The First Law of energy conservation was even known (Joule 1843) and long before Thermodynamic concepts were established in 1850s. A century later, Bridgman (1941) ‘complained’ that “th ..."
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Abstract. Sadi Carnot’s ingenious reasoning of reversible cycles (1824) laid foundations for The Second Law before The First Law of energy conservation was even known (Joule 1843) and long before Thermodynamic concepts were established in 1850s. A century later, Bridgman (1941) ‘complained’ that “there are almost as many formulations of The Second Law as there have been discussions of it.” Even today, The Second Law remains so obscure, due to the lack of its comprehension, that it continues to attract new efforts at clarification, including this one. The Laws of Thermodynamics have much wider, including philosophical significance and implication, than their simple expressions based on the experimental observations – they are The Fundamental Laws of Nature: The Zeroth (equilibrium existentialism), The First (conservational transformationalism), The Second (directional transformationalism), and The Third (unattainability of emptiness). They are defining and unifying our comprehension of all existence and transformations in the universe. The forces, due to nonequilibrium of massenergy in space (nonuniform ‘concentrations’), causing the massenergy displacement, thus defining the process direction, are manifested by tendency of massenergy transfer in time towards common equilibrium causeandeffect forced tendency of equipartition of massenergy. It should not be confused with local creation of