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The Theory of Critical Phenomena : an Introduction to the Renormalization Group.
The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Clarendon Press,
1992.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn861559276 | ||
| 003 | OCoLC | ||
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| 008 | 131026s1992 enk o 000 0 eng d | ||
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| 020 | |a 0191660566 | ||
| 020 | |a 9780191660566 |q (electronic bk.) | ||
| 029 | 1 | |a AU@ |b 000055925477 | |
| 029 | 1 | |a NZ1 |b 15351362 | |
| 035 | |a (OCoLC)861559276 | ||
| 050 | 4 | |a QC20.7.R43 T54 1992 | |
| 072 | 7 | |a SCI |x 024000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 041000 |2 bisacsh | |
| 072 | 7 | |a SCI |x 055000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.1/2 |a 530.12 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Binney, J. J. | |
| 245 | 1 | 4 | |a The Theory of Critical Phenomena : |b an Introduction to the Renormalization Group. |
| 260 | |a Oxford : |b Clarendon Press, |c 1992. | ||
| 300 | |a 1 online resource (477 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 505 | 0 | |a Cover -- Contents -- 1 Introduction -- 1.1 Continuous phase transitions and critical points -- 1.1.1 Divergences and critical exponents -- 1.1.2 Fluctuations and critical opalescence -- 1.2 The order parameter -- 1.2.1 Liquid-gas transition -- 1.2.2 Binary fluids -- 1.2.3 Ferromagnetic/paramagnetic transition -- 1.2.4 Anti-ferromagnetic/paramagnetic transition -- 1.2.5 Helium I/helium II transition -- 1.2.6 Conductor/superconductor transitions -- 1.2.7 Helium three -- 1.3 Correlation functions -- 1.4 Universality -- 1.5 Thermodynamic potentials. | |
| 505 | 8 | |a 1.5.1 The Widom and Kadanoff scaling hypotheses -- 1.6 Why study phase transitions? -- Problems -- 2 Statistical mechanics -- 2.1 Thermodynamic quantities -- 2.2 Fluctuations and correlation functions -- 2.3 Metastability and spontaneous symmetry breaking -- 2.3.1 Metastability -- 2.3.2 Spontaneous symmetry breaking -- Problems -- 3 Models -- 3.1 Description of models -- 3.1.1 The Ising model -- 3.1.2 The lattice gas -- 3.1.3 ß-brass -- 3.1.4 The XY and Heisenberg models -- 3.1.5 Potts model -- 3.1.6 Gaussian and spherical models -- 3.1.7 Percolation model. | |
| 505 | 8 | |a 3.2 Transfer matrices and the Ising ring -- 3.2.1 Solution of the Ising ring -- 3.2.2 Correlation functions -- 3.3 The partition function of the spherical model -- 3.4 High-temperature expansions and the Ising model -- 3.4.1 High-temperature expansions -- 3.4.2 The partition function of the Ising model -- 3.4.3 The correlation functions of the Ising model -- 3.4.4 Numerical evaluation of high-temperature expansions -- Problems -- 4 Numerical simulations -- 4.1 Direct evaluation of thermal averages -- 4.2 Sampling configurations -- 4.2.1 Importance sampling. | |
| 505 | 8 | |a 4.2.2 General structure of numerical algorithms -- 4.3 Monte Carlo methods -- 4.3.1 The Metropolis algorithm -- 4.4 Molecular dynamics -- 4.4.1 Ergodicity and integrability -- 4.4.2 From microcanonical to canonical averages -- 4.5 Langevin equations -- 4.5.1 Comparison of the Langevin and molecular-dynamics methods -- 4.6 Independence of configurations -- 4.6.1 Correlations along the path -- 4.6.2 Critical slowing down -- 4.6.3 The Swendsen-Wang algorithm -- 4.6.4 The Wolff algorithm -- 4.7 Calculation of critical exponents from simulations -- Problems -- 5 Real-space renormalization. | |
| 505 | 8 | |a 5.1 Renormalizing the lattice -- 5.2 Block variables -- 5.3 The renormalization of the Hamiltonian -- 5.3.1 Fixed points -- 5.3.2 The calculation of v -- 5.4 The renormalization of B, M, X and G[sub(c)] -- 5.4.1 The value of } -- 5.4.2 Non-zero external field -- 5.4.3 The renormalization of M, { and G[sub(c)] -- 5.4.4 Critical exponents for the renormalized model -- 5.5 The critical exponents for T = T[sub(c)] -- 5.5.1 The exponent j -- 5.5.2 The exponent e -- 5.6 The critical exponents for T T[sub(c)] -- 5.6.1 The exponent Ý -- 5.6.2 The exponent Þ -- 5.6.3 The exponent Ü | |
| 520 | |a The successful calculation of critical exponents for continuous phase transitions is one of the main achievements of theoretical physics over the last quarter-century. This was achieved through the use of scaling and field-theoretic techniques which have since become standard equipment in many areas of physics, especially quantum field theory. This book provides a thorough introduction to these techniques. Continuous phase transitions are introduced, then the necessary statistical mechanics is summarized, followed by standard models, some exact solutions and techniques for numerical simulation. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Renormalization group. | |
| 650 | 0 | |a Critical phenomena (Physics) | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Groupe de renormalisation. | |
| 650 | 6 | |a Phénomène critique (Physique) | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a SCIENCE |x Energy. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Mechanics |x General. |2 bisacsh | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Critical phenomena (Physics) |2 fast | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Renormalization group |2 fast | |
| 700 | 1 | |a Dowrick, N. J. | |
| 700 | 1 | |a Fisher, A. J. | |
| 758 | |i has work: |a The Theory of critical phenomena (Text) |1 https://id.oclc.org/worldcat/entity/E39PCH3xPFYjJrG4V9CMQh6mHP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Binney, J.J. |t Theory of Critical Phenomena : An Introduction to the Renormalization Group. |d Oxford : Clarendon Press, ©1992 |z 9780198513933 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=1480944 |z Texto completo |
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