Statistical Mechanics at the Turn of the Decade. Edited by E. G. D. COHEN. Marcel Dekker. 1971. 235 pp. £6.00 or $12.50. Lecture Notes in Physics. Volume 7. Lectures in Statistical Physics. Edited by J. EHLERS, K. HEPP and H. A. WEIDENMÜLLER Springer-Verlag, 1971. 181 pp. DM 18.00 or $5.00.

1972 ◽  
Vol 55 (1) ◽  
pp. 181-182
Author(s):  
H. T. Davis
Keyword(s):  
Statistical Mechanics ◽  
Statistical Physics ◽  
Lecture Notes

Chapter 22. Connections to Statistical Physics

2021 ◽  
Author(s):  
Fabrizio Altarelli ◽  
Rémi Monasson ◽  
Guilhem Semerjian ◽  
Francesco Zamponi
Keyword(s):  
Phase Transitions ◽  
Low Temperature ◽  
Statistical Mechanics ◽  
Cost Function ◽  
Computer Science ◽  
Statistical Physics ◽  
Energy Landscape ◽  
Research Activity ◽  
Detailed Picture ◽  
Intense Research

This chapter surveys a part of the intense research activity that has been devoted by theoretical physicists to the study of randomly generated k-SAT instances. It can be at first sight surprising that there is a connection between physics and computer science. However low-temperature statistical mechanics concerns precisely the behaviour of the low-lying configurations of an energy landscape, in other words the optimization of a cost function. Moreover the ensemble of random k-SAT instances exhibit phase transitions, a phenomenon mostly studied in physics (think for instance at the transition between liquid and gaseous water). Besides the introduction of general concepts of statistical mechanics and their translations in computer science language, the chapter presents results on the location of the satisfiability transition, the detailed picture of the satisfiable regime and the various phase transitions it undergoes, and algorithmic issues for random k-SAT instances.

scholarly journals Landau's statistical mechanics for quasi-particle models

2014 ◽  
Vol 29 (10) ◽  
pp. 1450056 ◽  
Author(s):  
Vishnu M. Bannur
Keyword(s):  
Energy Density ◽  
Statistical Mechanics ◽  
Quark Gluon Plasma ◽  
Statistical Physics ◽  
Particle System ◽  
Gluon Plasma ◽  
Particle Model ◽  
Quasi Particle ◽  
Thermodynamics And Statistical Mechanics

Landau's formalism of statistical mechanics [following L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon Press, Oxford, 1980)] is applied to the quasi-particle model of quark–gluon plasma. Here, one starts from the expression for pressure and develop all thermodynamics. It is a general formalism and consistent with our earlier studies [V. M. Bannur, Phys. Lett. B647, 271 (2007)] based on Pathria's formalism [following R. K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, 1977)]. In Pathria's formalism, one starts from the expression for energy density and develop thermodynamics. Both the formalisms are consistent with thermodynamics and statistical mechanics. Under certain conditions, which are wrongly called thermodynamic consistent relation, we recover other formalism of quasi-particle system, like in M. I. Gorenstein and S. N. Yang, Phys. Rev. D52, 5206 (1995), widely studied in quark–gluon plasma.

The Emergence of Statistical Mechanics

2017 ◽  
Author(s):  
Olivier Darrigol ◽  
Jürgen Renn
Keyword(s):  
Kinetic Theory ◽  
Statistical Mechanics ◽  
Statistical Physics ◽  
Second Law Of Thermodynamics ◽  
Boltzmann Distribution ◽  
Probabilistic Interpretation ◽  
Specific Heats ◽  
Mechanical Models ◽  
History Of ◽  
Thermal Phenomena

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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