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|a Kaznessis, Yiannis Nikolaos,
|d 1971-
|1 https://id.oclc.org/worldcat/entity/E39PBJkdg86dxWC88GGH9mvPwC
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|a Statistical thermodynamics and stochastic kinetics :
|b an introduction for engineers /
|c Yiannis Nikolaos Kaznessis.
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|a Cambridge ;
|a New York :
|b Cambridge University Press,
|c 2012.
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300 |
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|a 1 online resource (xii, 314 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a data file
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|a "Presenting the key principles of thermodynamics from a microscopic point of view, this book provides engineers with the knowledge they need to apply thermodynamics and solve engineering challenges at the molecular level. It clearly explains the concerns of entropy and free energy, emphasising key concepts used in equilibrium applications, whilst stochastic processes, such as stochastic reaction kinetics, are also covered. It provides a classical microscopic interpretation of thermodynamic concepts which is key for engineers, rather than focusing on more esoteric concepts of statistical thermodynamics and quantum mechanics. Coverage of molecular dynamics and Monte Carlo simulations as natural extensions of the theoretical treatment of statistical thermodynamics is also included, teaching readers how to use computer simulations and thus enabling them to understand and engineer the microcosm. Featuring many worked examples and over 100 end-of-chapter exercises, it is ideal for use in the classroom as well as for self-study"--
|c Provided by publisher
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|a Includes index.
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|a Print version record.
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|a Cover; Statistical Thermodynamics and Stochastic Kinetics An Introduction for Engineers; Title; Copyright; Contents; Dedication; Acknowledgments; 1 Introduction; 1.1 Prologue; 1.2 If we had only a single lecture in statistical thermodynamics; 2 Elements of probability and combinatorial theory; 2.1 Probability theory; 2.1.1 Useful definitions; 2.1.2 Probability distributions; 2.1.3 Mathematical expectation; 2.1.4 Moments of probability distributions; 2.1.5 Gaussian probability distribution; 2.2 Elements of combinatorial analysis; 2.2.1 Arrangements; 2.2.2 Permutations; 2.2.3 Combinations.
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|a 2.3 Distinguishable and indistinguishable particles2.4 Stirling's approximation; 2.5 Binomial distribution; 2.6 Multinomial distribution; 2.7 Exponential and Poisson distributions; 2.8 One-dimensional random walk; 2.9 Law of large numbers; 2.10 Central limit theorem; 2.11 Further reading; 2.12 Exercises; 3 Phase spaces, from classical to quantum mechanics, and back; 3.1 Classical mechanics; 3.1.1 Newtonian mechanics; 3.1.2 Generalized coordinates; 3.1.3 Lagrangian mechanics; 3.1.4 Hamiltonian mechanics; 3.2 Phase space; 3.2.1 Conservative systems; 3.3 Quantum mechanics.
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|a 3.3.1 Particle-wave duality3.3.2 Heisenberg's uncertainty principle; 3.4 From quantum mechanical to classical mechanical phase spaces; 3.4.1 Born-Oppenheimer approximation; 3.5 Further reading; 3.6 Exercises; 4 Ensemble theory; 4.1 Distribution function and probability density in phase space; 4.2 Ensemble average of thermodynamic properties; 4.3 Ergodic hypothesis; 4.4 Partition function; 4.5 Microcanonical ensemble; 4.6 Thermodynamics from ensembles; 4.7 S=kB ln O, or entropy understood; 4.8 O for ideal gases; 4.9 O with quantum uncertainty; 4.10 Liouville's equation; 4.11 Further reading.
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|a 4.12 Exercises5 Canonical ensemble; 5.1 Probability density in phase space; 5.2 NVT ensemble thermodynamics; 5.3 Entropy of an NVT system; 5.4 Thermodynamics of NVT ideal gases; 5.5 Calculation of absolute partition functions is impossible and unnecessary; 5.6 Maxwell-Boltzmann velocity distribution; 5.7 Further reading; 5.8 Exercises; 6 Fluctuations and other ensembles; 6.1 Fluctuations and equivalence of different ensembles; 6.2 Statistical derivation of the NVT partition function; 6.3 Grand-canonical and isothermal-isobaric ensembles; 6.4 Maxima and minima at equilibrium.
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|a 6.5 Reversibility and the second law of thermodynamics6.6 Further reading; 6.7 Exercises; 7 Molecules; 7.1 Molecular degrees of freedom; 7.2 Diatomic molecules; 7.2.1 Rigid rotation; 7.2.2 Vibrations included; 7.2.3 Subatomic degrees of freedom; 7.3 Equipartition theorem; 7.4 Further reading; 7.5 Exercises; 8 Non-ideal gases; 8.1 The virial theorem; 8.1.1 Application of the virial theorem: equation of state for non-ideal systems; 8.2 Pairwise interaction potentials; 8.2.1 Lennard-Jones potential; 8.2.2 Electrostatic interactions; 8.2.3 Total intermolecular potential energy.
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|a Includes bibliographical references and index.
|
590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
|
0 |
|a Statistical thermodynamics.
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650 |
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0 |
|a Stochastic processes.
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650 |
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|a Molecular dynamics
|x Simulation methods.
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650 |
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|a Thermodynamique statistique.
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650 |
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|a Processus stochastiques.
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650 |
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|a Dynamique moléculaire
|x Méthodes de simulation.
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650 |
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|a TECHNOLOGY & ENGINEERING
|x Chemical & Biochemical.
|2 bisacsh
|
650 |
|
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|a SCIENCE
|x Mechanics
|x Thermodynamics.
|2 bisacsh
|
650 |
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7 |
|a Molecular dynamics
|x Simulation methods
|2 fast
|
650 |
|
7 |
|a Statistical thermodynamics
|2 fast
|
650 |
|
7 |
|a Stochastic processes
|2 fast
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776 |
0 |
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|i Print version:
|a Kaznessis, Yiannis Nikolaos, 1971-
|t Statistical thermodynamics and stochastic kinetics.
|d Cambridge ; New York : Cambridge University Press, 2012
|z 9780521765619
|w (DLC) 2011031548
|w (OCoLC)748286884
|
856 |
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|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=807276
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