| 000 | 03937nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-67874-5 | ||
| 003 | DE-He213 | ||
| 005 | 20251030113108.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240927s2024 sz | s |||| 0|eng d | ||
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_a9783031678745 _9978-3-031-67874-5 |
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_a10.1007/978-3-031-67874-5 _2doi |
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| 050 | 4 | _aQC174.7-175.36 | |
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_aPHS _2bicssc |
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_aSCI040000 _2bisacsh |
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_aPHS _2thema |
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| 100 | 1 |
_aCecotti, Sergio. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _985087 |
|
| 245 | 1 | 0 |
_aStatistical Mechanics _h[electronic resource] : _bA Concise Advanced Textbook / _cby Sergio Cecotti. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
|
| 300 |
_aXI, 360 p. 50 illus. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aUNITEXT for Physics, _x2198-7890 |
|
| 505 | 0 | _aThermodynamical Formalism -- Equilibrium Ensembles -- NonInteracting Quantum Systems -- Phase Transitions and Lattice Systems -- Approximate Methods and Landau Theory -- Linear Response Theory Brownian Motion -- Frustrated and Quenched Systems. | |
| 520 | _aThis textbook is based on lecture notes that the author delivered at Qiuzhen College (Tsinghua University), a Chinese institution known for its exceptionally talented mathematics students. The book's intended audience shapes its character. It introduces Statistical Mechanics from the ground up, offering a fully self-contained presentation that aims for mathematical precision. It distinguishes rigorous results from controlled approximations and provides physical insights into phenomena. Despite its concise nature (suited for a one-semester basic course), this book covers several topics typically not found in introductory texts. These include Shannon's information-theoretic interpretation of entropy, the gauge approach to order-disorder duality in the Ising model, the Yang-Lee theory, and the quantum dissipation-fluctuation theorem. Additionally, it explores frustrated and quenched systems, including an introduction to the celebrated Parisi solution of the Sherrington-Kirkpatrick model of spin glasses. The path integral formalism is extensively discussed from various perspectives to suit different applications. Chapter 2 approaches path integrals through the Feynman-Kac formula and second quantization. In Chapter 5, they are examined within the context of effective field theories like Landau-Ginzburg theory, while Chapter 6 delves into their connection with Brownian motion, Langevin stochastic differential equations, and Fokker-Planck diffusion PDEs. The book also explores the relationship between stochastic processes and supersymmetry. Various techniques for computing path integrals, especially functional determinants, are introduced throughout the relevant chapters, offering the most suitable computational tools for each application. | ||
| 650 | 0 |
_aStatistical Physics. _970323 |
|
| 650 | 0 |
_aThermodynamics. _966400 |
|
| 650 | 0 | _aMathematical physics. | |
| 650 | 1 | 4 |
_aStatistical Physics. _970323 |
| 650 | 2 | 4 |
_aThermodynamics. _966400 |
| 650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _965563 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031678738 |
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_iPrinted edition: _z9783031678752 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031678769 |
| 830 | 0 |
_aUNITEXT for Physics, _x2198-7890 _975691 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-67874-5 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-SXP | ||
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