Thermodynamics And Statistical Mechanics Of Small Systems

Author : Andrea Puglisi
Publisher : MDPI
ISBN 13 : 3038970573
Total Pages : 335 pages
Book Rating : 4.76/5 ( download)

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Download or read book Thermodynamics and Statistical Mechanics of Small Systems written by Andrea Puglisi and published by MDPI. This book was released on 2018-09-04 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Thermodynamics and Statistical Mechanics of Small Systems" that was published in Entropy

Author : A. Vulpiani
Publisher :
ISBN 13 : 9783038970583
Total Pages : pages
Book Rating : 4.81/5 ( download)

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Download or read book Thermodynamics and Statistical Mechanics of Small Systems written by A. Vulpiani and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A challenging frontier in modern statistical physics concerns systems with a small number of degrees of freedom, far from the thermodynamic limit. Beyond the general interest in the foundation of statistical mechanics, the relevance of this subject is due to the recent increase of resolution in the observation and manipulation of biological and man-made objects at micro- and nano-scales. A peculiar feature of small systems is the role played by fluctuations, which cannot be neglected and are responsible for many non-trivial behaviors. The study of fluctuations of thermodynamic quantities, such as energy or entropy, goes back to Einstein, Onsager, and Kubo; more recently, interest in this matter has grown with the establishment of new fluctuation-dissipation relations, and of so-called stochastic thermodynamics. This turning point has received a strong impulse from the study of systems that are far from the thermodynamic equilibrium, due to very long relaxation times, as in disordered systems, or due to the presence of external forcing and dissipation, as in granular or active matter. Applications of the thermodynamic and statistical mechanics of small systems range from molecular biology to micro-mechanics, including models of nano-transport, Brownian motors, and (living or artificial) self-propelled organisms.

Author : Rainer Klages
Publisher : John Wiley & Sons
ISBN 13 : 3527658726
Total Pages : 402 pages
Book Rating : 4.25/5 ( download)

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Download or read book Nonequilibrium Statistical Physics of Small Systems written by Rainer Klages and published by John Wiley & Sons. This book was released on 2013-03-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive picture of nonequilibrium phenomena in nanoscale systems. Written by internationally recognized experts in the field, this book strikes a balance between theory and experiment, and includes in-depth introductions to nonequilibrium fluctuation relations, nonlinear dynamics and transport, single molecule experiments, and molecular diffusion in nanopores. The authors explore the application of these concepts to nano- and biosystems by cross-linking key methods and ideas from nonequilibrium statistical physics, thermodynamics, stochastic theory, and dynamical systems. By providing an up-to-date survey of small systems physics, the text serves as both a valuable reference for experienced researchers and as an ideal starting point for graduate-level students entering this newly emerging research field.

Author : Terrell L. Hill
Publisher : Courier Corporation
ISBN 13 : 0486681092
Total Pages : 417 pages
Book Rating : 4.92/5 ( download)

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Download or read book Thermodynamics of Small Systems written by Terrell L. Hill and published by Courier Corporation. This book was released on 1994-01-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative summary introduces basics, explores environmental variables, examines binding on macromolecules and aggregation, and includes brief summaries of electric and magnetic fields, spherical drops and bubbles, and polydisperse systems. 1963 and 1964 editions.

Author : Takahiro Sagawa
Publisher : Springer Science & Business Media
ISBN 13 : 4431541683
Total Pages : 126 pages
Book Rating : 4.84/5 ( download)

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Download or read book Thermodynamics of Information Processing in Small Systems written by Takahiro Sagawa and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a general theory of nonequilibrium thermodynamics for information processing. Ever since Maxwell's demon was proposed in the nineteenth century, the relationship between thermodynamics and information has attracted much attention because it concerns the foundation of the second law of thermodynamics. From the modern point of view, Maxwell's demon is formulated as an information processing device that performs measurement and feedback at the level of thermal fluctuations. By unifying information theory, measurement theory, and the recently developed theory of nonequilibrium statistical mechanics, the author has constructed a theory of "information thermodynamics," in which information contents and thermodynamic variables are treated on an equal footing. In particular, the maximum work that can be extracted by the demon and the minimum work that is needed for measurement and information erasure by the demon has been determined. Additionally, generalizations of nonequilibrium relations such as a Jarzynski equality for classical stochastic systems in the presence of feedback control have been derived. One of the generalized equalities has recently been verified experimentally by using sub-micron colloidal particles. The results obtained serve as fundamental principles for information processing in small thermodynamic systems, and are applicable to nanomachines and nanodevices.

Author : Dieter H E Gross
Publisher : World Scientific
ISBN 13 : 9814493643
Total Pages : 287 pages
Book Rating : 4.42/5 ( download)

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Download or read book Microcanonical Thermodynamics: Phase Transitions In "Small" Systems written by Dieter H E Gross and published by World Scientific. This book was released on 2001-03-15 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boltzmann's formula S = In[W(E)] defines the microcanonical ensemble. The usual textbooks on statistical mechanics start with the microensemble but rather quickly switch to the canonical ensemble introduced by Gibbs. This has the main advantage of easier analytical calculations, but there is a price to pay — for example, phase transitions can only be defined in the thermodynamic limit of infinite system size. The question how phase transitions show up from systems with, say, 100 particles with an increasing number towards the bulk can only be answered when one finds a way to define and classify phase transitions in small systems. This is all possible within Boltzmann's original definition of the microcanonical ensemble.Starting from Boltzmann's formula, the book formulates the microcanonical thermodynamics entirely within the frame of mechanics. This way the thermodynamic limit is avoided and the formalism applies to small as well to other nonextensive systems like gravitational ones. Phase transitions of first order, continuous transitions, critical lines and multicritical points can be unambiguously defined by the curvature of the entropy S(E,N). Special attention is given to the fragmentation of nuclei and atomic clusters as a peculiar phase transition of small systems controlled, among others, by angular momentum.The dependence of the liquid-gas transition of small atomic clusters under prescribed pressure is treated. Thus the analogue to the bulk transition can be studied. The book also describes the microcanonical statistics of the collapse of a self-gravitating system under large angular momentum.

Author : Werner Ebeling
Publisher : World Scientific
ISBN 13 : 9810213824
Total Pages : 344 pages
Book Rating : 4.24/5 ( download)

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Download or read book Statistical Thermodynamics and Stochastic Theory of Nonequilibrium Systems written by Werner Ebeling and published by World Scientific. This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.

Author : Robert J. Hardy
Publisher : John Wiley & Sons
ISBN 13 : 1118501004
Total Pages : 538 pages
Book Rating : 4.09/5 ( download)

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Download or read book Thermodynamics and Statistical Mechanics written by Robert J. Hardy and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thermodynamics and Statistical Mechanics Thermodynamics and Statistical Mechanics An Integrated Approach This textbook brings together the fundamentals of the macroscopic and microscopic aspects of thermal physics by presenting thermodynamics and statistical mechanics as complementary theories based on small numbers of postulates. The book is designed to give the instructor flexibility in structuring courses for advanced undergraduates and/or beginning graduate students and is written on the principle that a good text should also be a good reference. The presentation of thermodynamics follows the logic of Clausius and Kelvin while relating the concepts involved to familiar phenomena and the modern student’s knowledge of the atomic nature of matter. Another unique aspect of the book is the treatment of the mathematics involved. The essential mathematical concepts are briefly reviewed before using them, and the similarity of the mathematics to that employed in other fields of physics is emphasized. The text gives in-depth treatments of low-density gases, harmonic solids, magnetic and dielectric materials, phase transitions, and the concept of entropy. The microcanonical, canonical, and grand canonical ensembles of statistical mechanics are derived and used as the starting point for the analysis of fluctuations, blackbody radiation, the Maxwell distribution, Fermi-Dirac statistics, Bose-Einstein condensation, and the statistical basis of computer simulations.

Author : Keith Stowe
Publisher : Cambridge University Press
ISBN 13 : 9781107694927
Total Pages : 0 pages
Book Rating : 4.22/5 ( download)

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Download or read book An Introduction to Thermodynamics and Statistical Mechanics written by Keith Stowe and published by Cambridge University Press. This book was released on 2013-10-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook for standard undergraduate courses in thermodynamics has been completely rewritten to explore a greater number of topics, more clearly and concisely. Starting with an overview of important quantum behaviours, the book teaches students how to calculate probabilities in order to provide a firm foundation for later chapters. It introduces the ideas of classical thermodynamics and explores them both in general and as they are applied to specific processes and interactions. The remainder of the book deals with statistical mechanics. Each topic ends with a boxed summary of ideas and results, and every chapter contains numerous homework problems, covering a broad range of difficulties. Answers are given to odd-numbered problems, and solutions to even-numbered problems are available to instructors at www.cambridge.org/9781107694927.

Author : Yu. K. Tovbin
Publisher : CRC Press
ISBN 13 : 0429995385
Total Pages : 416 pages
Book Rating : 4.85/5 ( download)

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Download or read book Small Systems and Fundamentals of Thermodynamics written by Yu. K. Tovbin and published by CRC Press. This book was released on 2018-07-17 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Small systems are a very active area of research and development due to improved instrumentation that allows for spatial resolution in the range of sizes from one to 100 nm. In this size range, many physical and chemical properties change, which opens up new approaches to the study of substances and their practical application. This affects both traditional fields of knowledge and many other new fields including physics, chemistry, biology, etc. This book highlights new developments in statistical thermodynamics that answer the most important questions about the specifics of small systems - when one cannot apply equations or traditional thermodynamic models.