Ginzburg-Landau theory

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	Transitions to Line-Defect Turbulence in Complex Oscillatory Media
		In the vicinity of the Hopf bifurcation, spiral waves are described by the complex Ginzburg-Landau equation (CGLE) [1, 2].
		Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, ON M5S 3H6, Canada
		We show the existence of a new type of spatiotemporal chaos where the global temporal periodicity of the medium is broken by the spontaneous nucleation, proliferation and erratic motion of the defect lines separating domains of different oscillation phases.
	www.chem.utoronto.ca /~rkapral/Papers/ltprl2/ltprl2.html

	edutainment
		describes a mirror transformation in the context of landau-ginzburg theories based on frational transformations.
		a geometric projection on the cohomology of so-called `special fano varieties' identifies the string spectra of particular landau-ginzburg theories and provides a manifold interpretation of these models.
		the (0,2) exactly solvable structure of landau-ginzburg theories, chiral rings and calabi-yau manifolds, hep-th/9510055
	www.th.physik.uni-bonn.de /th/People/netah/papers/edutainment.html

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union, sometimes referred to as the "Landau school".
		"Course of Theoretical Physics : Quantum Mechanics: Non-Relativistic Theory".
	www.wikipedia.org /wiki/Lev_Davidovich_Landau (312 words)

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union, sometimes referred to as the "Landau school".
		Recognized very early as a child prodigy of mathematics, in 1922, at the age of 14 (a year delayed at his parents' request), Landau enrolled at the Physics Department of Petrograd University, receiving his doctorate in physics at the remarkably young age of 19.
	en.wikipedia.org /wiki/Lev_Davidovich_Landau (312 words)

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Recognized very early as a child prodigy in mathematics, Landau was quoted as saying in later life that he scarcely remembered a time when he was not familiar with calculus.
		Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in the Soviet Union, sometimes referred to as the "Landau school".
	en.wikipedia.org /wiki/Lev_Davidovich_Landau (354 words)

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Lev Davidovich Landau (Russian language: Ле́в Дави́дович Ланда́у) (January 22, 1908– April 1, 1968) was a prominent Soviet physicist, who made fundamental contributions to many areas of theoretical physics.
		Recognized very early as a child prodigy in mathematics, Landau was quoted as saying in later life that he scarcely remembered a time when he was not familiar with calculus.
	www.wikipedia.org /wiki/Lev_Davidovich_Landau (345 words)

	Lev Landau - Wikipedia, the free encyclopedia
		His accomplishments include the co-discovery of the density matrix method in quantum mechanics, the quantum mechanical theory of diamagnetism, the theory of superfluidity, the theory of second order phase transitions, the Ginzburg-Landau theory of superconductivity, the explanation of Landau damping in plasma physics, the Landau pole in quantum electrodynamics, and the two-component theory of neutrinos.
		Lev Davidovich Landau (Russian language: Ле́в Дави́дович Ланда́у) (January 22, 1908– April 1, 1968) was a prominent Soviet physicist, who made fundamental contributions to many areas of theoretical physics.
		Recognized very early as a child prodigy in mathematics, Landau was quoted as saying in later life that he scarcely remembered a time when he was not familiar with calculus.
	en.wikipedia.org /wiki/Lev_Davidovich_Landau (345 words)

	Lev Landau: physicist and revolutionary (June 2002) - Physics World - PhysicsWeb
		If one were to choose his most important breakthroughs, these would probably be his theory of phase transitions (1937), the theory of superfluidity in liquid helium (1941), the Ginzburg-Landau phenomenological theory of superconductivity (1950) and the Landau "Fermi-liquid" theory (1956).
		Landau's published papers are so laconic - consisting mainly of formulae and a few categorical statements on what is right and what is wrong, without sufficient explanation - that even professional physicists often found it hard to understand where his ideas came from.
		Although Lev Landau was never to work again, he was awarded the Nobel prize later that year and his legacy lives on to this day.
	physicsweb.org /article/world/15/6/8 (345 words)

	Lev Landau: physicist and revolutionary (June 2002) - Physics World - PhysicsWeb
		If one were to choose his most important breakthroughs, these would probably be his theory of phase transitions (1937), the theory of superfluidity in liquid helium (1941), the Ginzburg-Landau phenomenological theory of superconductivity (1950) and the Landau "Fermi-liquid" theory (1956).
		Landau's published papers are so laconic - consisting mainly of formulae and a few categorical statements on what is right and what is wrong, without sufficient explanation - that even professional physicists often found it hard to understand where his ideas came from.
		Although Lev Landau was never to work again, he was awarded the Nobel prize later that year and his legacy lives on to this day.
	physicsweb.org /article/world/15/6/8 (455 words)

	Lev Landau: physicist and revolutionary (June 2002) - Physics World - PhysicsWeb
		If one were to choose his most important breakthroughs, these would probably be his theory of phase transitions (1937), the theory of superfluidity in liquid helium (1941), the Ginzburg-Landau phenomenological theory of superconductivity (1950) and the Landau "Fermi-liquid" theory (1956).
		Landau's published papers are so laconic - consisting mainly of formulae and a few categorical statements on what is right and what is wrong, without sufficient explanation - that even professional physicists often found it hard to understand where his ideas came from.
		Although Lev Landau was never to work again, he was awarded the Nobel prize later that year and his legacy lives on to this day.
	physicsweb.org /article/world/15/6/8 (455 words)

	Theory of Superconductivity
		[cond-mat/0408630] Ginzburg Landau theory of superconductivity at fractal dimens...
		Cooper Pairs and the BCS Theory of Superconductivity...
		Ab-initio theory of superconductivity I: Density functional formalism and...
	www.scienceoxygen.com /electrical/180.html (250 words)

	MS44 Bifurcation Theory and Applications
		reduction of bifurcations in certain PDEs to Ginzburg-Landau equations) are now beginning to be well-understood and justified mathematically using equivariant bifurcation theory.
		Bifurcation theory has been successfully used to explain a wide variety of phenomena: structure and classification of planforms, modulations of cellular and spiral spatial patterns which occur in flame dynamics experiments and Belousov-Zhabotinsky chemical reactions.
		The goal of this minisymposium is to present some of those recent results in bifurcation theory, with a certain emphasis on systems modeled with Euclidean symmetry.
	www.siam.org /meetings/an98/ms44.htm (109 words)

	Entire Reprint List
		Bifurcations with local gauge symmetries in the Ginzburg-Landau equations.
		M. Golubitsky and D. Schaeffer, A singularity theory approach to steady state bifurcation theory.
		In: Multiparameter Bifurcation Theory (M. Golubitsky and J. Guckenheimer, eds) Contemporary Mathematics 56, AMS (1986) 131-173.
	www.math.uh.edu /~dynamics/reprints/entire.old (1504 words)

	Superconductivity - BCS Theory
		The formation of Cooper pairs is supported by the fact that BCS and the Ginzburg-Landau theories predict the charge and mass of the supercurrent 'particle' to be 2e and 2M
		Mathematically, BCS theory is complex, but relies on an earlier 'discovery' by Cooper (1956), who showed that the ground state of a material is unstable with respect to pairs of 'bound' electrons.
		In 1957, Bardeen, Cooper and Schrieffer (BCS) proposed a theory that explained the microscopic origins of superconductivity, and could quantitatively predict the properties of superconductors.
	www.chm.bris.ac.uk /webprojects2000/igrant/bcstheory.html (457 words)

	Vertex algebras and string theory
		The orbifold theories are used as a go-between instead of Landau-Ginzburg theories which are more commonly used in the literature dealing with identifications between Gepner and sigma models.
		W.Nahm, K.Wendland: Moduli of CFT and K3: Conformal and Superconformal Field Theories, notes of two talks.
		In the paper identifications between different conformal field theories are proven, namely between orbifolds of torus theories, Gepner models, and sigma models of certain K3s.
	guests.mpim-bonn.mpg.de /rosellen/k300.html (457 words)

	Introduction to Quantum Field Theory
		Second quantization of bosons; non-relativistic quantum fields and the Landau Ginzburg theory; relativistic free particles and the Klein-Gordon field; causality and the Klein-Gordon propagator; quantum electromagnetic fields and photons.
		Non-abelian gauge symmetries; Yang-Mills theory; interactions of gauge bosons and Feynman rules; Fadde'ev-Popov ghosts and BRST; renormalization of the YM theories and the asymptotic freedom; the Standard Model.
		PHY 396 K -- Quantum Field Theory I, usually taught in the Fall, and
	bolvan.ph.utexas.edu /~vadim/Classes/2000f.html (457 words)

	PTF Preprints
		Recursive graphical construction for Feynman diagrams and their weights in Ginzburg-Landau theory.
		The Triple pole pomeron: Regge theory and DGLAP evolution.
		Phase equivalent chains of Darboux transformations in scattering theory.
	www.theo.phys.ulg.ac.be /PTF/PTF_Preprints_brief.html (457 words)

	Introduction to Quantum Field Theory
		Second quantization of bosons; non-relativistic quantum fields and the Landau Ginzburg theory; relativistic free particles and the Klein-Gordon field; causality and the Klein-Gordon propagator; quantum electromagnetic fields and photons.
		Non-abelian gauge symmetries; Yang-Mills theory; interactions of gauge bosons and Feynman rules; Fadde'ev-Popov ghosts and BRST; renormalization of the YM theories and the asymptotic freedom; the Standard Model.
		PHY 396 L -- Quantum Field Theory II, usually taught in the Spring.
	bolvan.ph.utexas.edu /~vadim/Classes/2000f.html (920 words)

	Mean-field theory and phase transitions
		Mean-field theory, dating back to Curie, Weiss and Ginzburg-Landau, is one of the most common approaches to the study of phase transitions in physical systems.
		The basic underlying idea is that the complicated interactions that each element of a complex system is subjected to by its neighbors can be replaced by the interaction with an effective (or mean) field.
		It has been a common belief that the "mean-field predictions" resulting from this approximation are fairly accurate in sufficiently high dimensions but, except perhaps for the results of Hara-Slade and Aizenman-Barsky-Fernandez concerning the critical exponents in high-dimensional percolation/Ising model, very little of this belief has been mathematically justified.
	www.math.ucla.edu /~biskup/Summary/MFT.html (232 words)

	Publications
		Nonequilibrium relaxation in neutral BCS superconductors: Ginzburg-Landau approach with Landau damping in real time, S. Alamoudi, D. Boyanovsky, S.-Y. Wang, cond-mat/0204239, Phys.
		Damping Rates and Mean Free Paths of Soft Fermion Collective Excitations in a Hot Fermion-Gauge-Scalar Theory, S.-Y. Wang, D. Boyanovsky, H.J. de Vega, D.-S. Lee, and Y.J. Ng, hep-ph/9902218,Phys.
		Non-equilibrium phase transitions in condensed matter and cosmology: spinodal decomposition, condensates and defects, D.Boyanovsky, H. de Vega, R. Holman, lectures delivered at the NATO Advanced Study Institute: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transitions, hep-ph/9903534.
	www.phyast.pitt.edu /~boyan/hot_physics/publications.html (837 words)

	IngentaConnect Mirror symmetry and Landau-Ginzburg Calabi-Yau superpotentials in...
		We study the Landau-Ginzburg (LG) theory mirror to two-dimensional (2D) N 2 gauged linear sigma models on toric Calabi-Yau manifolds.
		We derive and solve new constraint equations for LG elliptic Calabi-Yau superpotentials depending on the physical data of dual linear sigma models.
	api.ingentaconnect.com /content/iop/jphysa/2002/00000035/00000004/art00309 (837 words)

	Scientific American Digital: Browse
		To this day, Landau levels, Landau diamagnetism, Landau spectrum, Landau-Ginzburg theory and other Landau discoveries remain essential tools.
		The theories of Lev Davidovich Landau built the backbone of 20th-century condensed- matter physics.
		File size: 7.40 MB The Top-Secret Life of Lev Landau; August 1997; by Gorelik; 6 page(s)
	www.sciamdigital.com /browse.cfm?sequencenameCHAR=item2&methodnameCHAR=resource_getitembrowse&interfacenameCHAR=browse.cfm&ISSUEID_CHAR=F673F13F-018C-4A5D-9339-CB8501DE3CE&ARTICLEID_CHAR=5F72B922-46BD-4101-9103-211DCDFC438&sc=I100322 (182 words)

	Starlet Product 1
		More precisely, vortices in the Abelian Higgs or the Ginzburg--Landau theory occur at the zeros of the Higgs field as topological defects and are thus viewed as the Higgs particle condensed vortices but there can be no finite-energy Higgs particle condensed vortex solutions in the electroweak theory.
		Analytically, classical field theory offers all types of differential equation problems which come from the two basic sets of equations in physics describing fundamental interactions, namely, the Yang--Mills equations governing electromagnetic, weak, and strong forces, reflecting internal symmetry, and the Einstein equations governing gravity, reflecting external symmetry.
		In Chapter 11, we consider a field theory that allows the coexistence of static vortices and anti-vortices, or strings and anti-strings, of opposite magnetic behavior, both local and global.
	www.math.poly.edu /~yyang/prod01.htm (2652 words)

	Vertex algebras and string theory
		The orbifold theories are used as a go-between instead of Landau-Ginzburg theories which are more commonly used in the literature dealing with identifications between Gepner and sigma models.
		W.Nahm, K.Wendland: A Hiker's Guide to K3 - Aspects of N=(4,4) Superconformal Field Theory with central charge c=6, hep-th/9912067.
		In the paper identifications between different conformal field theories are proven, namely between orbifolds of torus theories, Gepner models, and sigma models of certain K3s.
	guests.mpim-bonn.mpg.de /rosellen/k300.html (2652 words)

	Homepage of Kurt Langfeld
		On The Landau-Ginzburg Theory Of Mag Projected SU(2) Lattice Gauge Theory,
		Confinement and scaling of the vortex vacuum of SU(2) lattice gauge theory.
		Vortex dominance of the 0+ and 2+ glueball mass in SU(2) lattice gauge theory
	www.tphys.physik.uni-tuebingen.de /reinhardt/langfeld/lattice/vortex.html (297 words)

	Theory Group, pre-print Archive
		10-97 "Bulk and edge properties of the Chern-Simons Ginzburg-Landau theory for the fractional quantum Hall effect"
		This is the local preprint archive for the Theory Group.
		15-93 "Gauge Invariance and Disequilibrium in Chern-Simons Theory"
	www.fys.uio.no /teori/preprints/oldprint.html (640 words)

	Amazon.com: Books: Equilibrium Statistical Physics
		A chapter on quantum fluids deals with Bose condensation, superfluidity, and the BCS and Landau-Ginzburg theories of superconductivity.
		Along with traditional approaches to the subject such as the virial expansion and integral equations, newer theories such as perturbation theory and density functional theories are introduced.
		A new chapter on polymers and membranes contains a discussion of the Gaussian and Flory models of dilute polymer mixtures, the connection of polymer theory to critical phenomena, a discussion of dense polymer mixtures and an introduction to the physical properties of solid and fluid membranes.
	www.amazon.com /exec/obidos/tg/detail/-/9810216424?v=glance (1127 words)

	Critical Exponents of the Superconducting Phase Transition
		We study the critical exponents of the superconducting phase transition in the context of renormalization group theory starting from a dual formulation of the Ginzburg-Landau theory.
		To understand the relevance of this difference, we recall that a basic element of Landau's theory of continuous phase transitions is the presence of an order parameter.
		We therefore can apply usual perturbation theory to calculate the critical exponents.
	www.physik.fu-berlin.de /~kleinert/kleiner_re226/PRL.html (1752 words)

	Superconductivity
		A formal asymptotic expansion is used to simplify the Ginzburg-Landau model of superconductivity in the limit of large values of the Ginzburg-Landau parameter and high applied magnetic field strengths.
		The critical temperature and gap solution of the Bardeen-Cooper-Schrieffer theory of superconductivity; Lett.
		The critical temperature and gap solution of the Bardeen-Cooper-Schrieffer theory of superconductivity
	orion.math.iastate.edu /research/super/homepage.html (3284 words)

	Superconducting Proximity Effect
		They soon discovered several phenomena that could neither be understood from the old Ginzburg-Landau theory, nor from the mesoscopic quantum transport theories of the 1980's.
		The proximity effect between normal and superconducting metals was well studied in the 1960's, culminating in the review articles by deGennes describing the experimental phenomena in terms of a Ginzburg-Landau theory.
		In the 1990's several groups applied the techniques of mesoscopic physics to fabricate and study submicron hybrid samples consisting of both normal and superconducting metals in contact.
	www.pa.msu.edu /cmp/birge-group/pages/researchc.htm (3284 words)

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Topic: Ginzburg-Landau theory

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In the News (Tue 22 Dec 09)