This book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes that are inevitably influenced by random thermal fluctuations. This unifying approach permits the extraction of widely applicable principles from the analysis of specific models. Arranged by argument rather than theory, the text is based on the premises that random thermal fluctuations play a decisive role in governing the evolution of nonequilibrium thermodynamic processes and that they can be viewed as a dynamic superposition of many random events. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, this book will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.
9. Nonequivalence of gravitation and acceleration. 9.1. The uniformly rotating disc in Einstein's development of general relativity. 9.2. The Sagnac effect. 9.3. Generalizations of the Sagnac effect. 9.4. The principle of equivalence. 9.5. Fermat's principle of least time and hyperbolic geometry. The rotating disc. 9.7. The FitzGerald-Lorentz contraction via the triangle defect. 9.8. Hyperbolic nature of the electromagnetic field and the Poincare stress. 9.9. The Terrell-Weinstein effect and the angle of parallelism. 9.10. Hyperbolic geometries with non-constant curvature. 9.11. Cosmological models -- 10. Aberration and radiation pressure in the Klein and Poincare models. 10.1. Angular defect and its relation to aberration and Thomas precession. 10.2. From the Klein to the Poincare model. 10.3. Aberration versus radiation pressure on a moving mirror. 10.4. Electromagnetic radiation pressure. 10.5. Angle of parallelism and the vanishing of the radiation pressure. 10.6. Transverse Doppler shifts as experimental evidence for the angle of parallelism -- 11. The inertia of polarization. 11.1. Polarization and relativity. 11.2. Stokes parameters and their physical interpretations. 11.3. Poincare's representation and spherical geometry. 11.4. Polarization of mass. 11.5. Mass in Maxwell's theory and beyond. 11.6. Relativistic stokes parameters
The book points out what has gone wrong with physics since Einstein's formulation of this theory of general relativity a century ago. It points out inconsistencies and fallacies in the standard model of the big bang and the inflationary scenario which was supposed to have overcome those shortcomings, the evolution of string theory from a theory of the strong interaction to a theory of gravitation and quantum mechanics which has not produced a single verifiable prediction, and what it has accomplished is reaffirming wrong results like the entropy of a black hole, which is not an entropy at all. There have even been attempts to demote gravity to an emergent phenomenon with catastrophic effects. We know exactly what happened at 10-34 seconds after the big bang, but do not know how fast gravity propagates, whether gravitational waves exist, and what are the limits of Newton's law. Attempts to rectify this are the prediction of dark energy/matter, which has never been observed nor ever will, and MOND. The latter is really not a modification of Newtonian mechanics, but a transformation of a dynamical law into a statistical one.
This innovative, probabilistic approach to statistical mechanics employs Gauss's principle to provide a powerful tool for the statistical analysis of physical phenomenon. Topics include Boltzmann's principle, black-body radiation, and quantum statistics. 1991 edition.
This book introduces a new outlook on thermodynamics. It brings the theory up to the present time and indicates areas of further development with the union of information theory and the theory of means and their inequalities.
This book introduces a new outlook on thermodynamics. It brings the theory up to the present time and indicates areas of further development with the union of information theory and the theory of means and their inequalities.
This book develops in detail the statistical foundations of nonequilibrium thermodynamics, based on the mathematical theory of Brownian motion. Author Bernard H. Lavenda demonstrates that thermodynamic criteria emerge in the limit of small thermal fluctuations and in the Gaussian limit where means and modes of the distribution coincide. His treatment assumes the theory of Brownian motion to be a general and practical model of irreversible processes that are inevitably influenced by random thermal fluctuations. This unifying approach permits the extraction of widely applicable principles from the analysis of specific models. Arranged by argument rather than theory, the text is based on the premises that random thermal fluctuations play a decisive role in governing the evolution of nonequilibrium thermodynamic processes and that they can be viewed as a dynamic superposition of many random events. Intended for nonmathematicians working in the areas of nonequilibrium thermodynamics and statistical mechanics, this book will also be of interest to chemical physicists, condensed matter physicists, and readers in the area of nonlinear optics.
The book points out what has gone wrong with physics since Einstein's formulation of this theory of general relativity a century ago. It points out inconsistencies and fallacies in the standard model of the big bang and the inflationary scenario which was supposed to have overcome those shortcomings, the evolution of string theory from a theory of the strong interaction to a theory of gravitation and quantum mechanics which has not produced a single verifiable prediction, and what it has accomplished is reaffirming wrong results like the entropy of a black hole, which is not an entropy at all. There have even been attempts to demote gravity to an emergent phenomenon with catastrophic effects. We know exactly what happened at 10-34 seconds after the big bang, but do not know how fast gravity propagates, whether gravitational waves exist, and what are the limits of Newton's law. Attempts to rectify this are the prediction of dark energy/matter, which has never been observed nor ever will, and MOND. The latter is really not a modification of Newtonian mechanics, but a transformation of a dynamical law into a statistical one.
The book explains how modern thermodynamics applies to clusterization, black holes, gravitational collapse, critical phenomena, broadening spectral lines, or phenomena associated with the principles that the weakest link breaks the chain. This was not immediately obvious from traditional thermodynamics.
9. Nonequivalence of gravitation and acceleration. 9.1. The uniformly rotating disc in Einstein's development of general relativity. 9.2. The Sagnac effect. 9.3. Generalizations of the Sagnac effect. 9.4. The principle of equivalence. 9.5. Fermat's principle of least time and hyperbolic geometry. The rotating disc. 9.7. The FitzGerald-Lorentz contraction via the triangle defect. 9.8. Hyperbolic nature of the electromagnetic field and the Poincare stress. 9.9. The Terrell-Weinstein effect and the angle of parallelism. 9.10. Hyperbolic geometries with non-constant curvature. 9.11. Cosmological models -- 10. Aberration and radiation pressure in the Klein and Poincare models. 10.1. Angular defect and its relation to aberration and Thomas precession. 10.2. From the Klein to the Poincare model. 10.3. Aberration versus radiation pressure on a moving mirror. 10.4. Electromagnetic radiation pressure. 10.5. Angle of parallelism and the vanishing of the radiation pressure. 10.6. Transverse Doppler shifts as experimental evidence for the angle of parallelism -- 11. The inertia of polarization. 11.1. Polarization and relativity. 11.2. Stokes parameters and their physical interpretations. 11.3. Poincare's representation and spherical geometry. 11.4. Polarization of mass. 11.5. Mass in Maxwell's theory and beyond. 11.6. Relativistic stokes parameters
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.