000 04101nam a22005535i 4500
001 978-3-540-47575-0
003 DE-He213
005 20160624101853.0
007 cr nn 008mamaa
008 121227s1993 gw | s |||| 0|eng d
020 _a9783540475750
_9978-3-540-47575-0
024 7 _a10.1007/978-3-540-47575-0
_2doi
050 4 _aQC310.15-319
072 7 _aPHH
_2bicssc
072 7 _aSCI065000
_2bisacsh
082 0 4 _a536.7
_223
100 1 _aChriste, P.
_eauthor.
245 1 0 _aIntroduction to Conformal Invariance and Its Applications to Critical Phenomena
_h[electronic resource] /
_cby P. Christe, M. Henkel.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
300 _aXV, 260 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v16
505 0 _aCritical Phenomena: a Reminder -- Conformal Invariance and the Stress-Energy Tensor -- Finite Size Scaling -- Representation Theory of the Virasoro Algebra -- Operator Algebra and Correlation Functions -- The Ising Model Correlation Functions -- Coulomb Gas Realization -- The Hamiltonian Limit and Universality -- Numerical Techniques -- Conformal Invariance in the Ising Quantum Chain -- Modular Invariance -- Further Developments and Applications -- Conformal Perturbation Theory -- The Vicinity of the Critical Point -- Surface Critical Phenomena -- Outlook: Beyond the Conformal Group.
520 _aThe history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dramatic development, Onsager's exact solutionofthe two-dimensional Ising model made clear the important role of the critical fluctuations. Their role was taken into account in the subsequent developments leading to the scaling theories of critical phenomena and the renormalization group. These developements have achieved a precise description of the close neighborhood of the critical point and results are often in good agreement with experiments. In contrast to the general understanding a century ago, the presence of fluctuations on all length scales at a critical point is today emphasized.
650 0 _aPhysics.
650 0 _aMathematical physics.
650 0 _aStatistical physics.
650 0 _aThermodynamics.
650 0 _aCrystals.
650 1 4 _aPhysics.
650 2 4 _aThermodynamics.
650 2 4 _aStatistical Physics.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aNumerical and Computational Methods.
650 2 4 _aPartially Ordered Systems, Glasses, Quasicrystals.
700 1 _aHenkel, M.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540565048
786 _dSpringer
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v16
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-540-47575-0
942 _2EBK2641
_cEBK
999 _c31935
_d31935