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Topic: XY model

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	Potts model - Wikipedia, the free encyclopedia
		In statistical mechanics, the Potts model, a generalization of the Ising model, is a model of interacting spins on a crystalline lattice.
		The Potts model is related to, and generalized by, several other models, including the XY model, the Heisenberg model and the N-vector model.
		The one dimensional Potts model may be expressed in terms of a subshift of finite type, and thus gains access to all of the mathematical techniques associated with this formalism.
	en.wikipedia.org /wiki/Potts_model (1561 words)

	XY model - Wikipedia, the free encyclopedia
		Like the Ising model, the XY model is one of the many highly simplified models in the branch of physics known as statistical mechanics.
		The continuous version of the XY model is often used to model systems that possess order parameters with the same kinds of symmetry, e.g.
		Topological defects in the XY model leads to a vortex-unbinding transition from the low-temperature phase to the high-temperature disordered phase.
	en.wikipedia.org /wiki/XY_model (167 words)

	Kingshuk Majumdar - Research (Site not responding. Last check: 2007-10-08)
		XY model is defined as a set of spins at each site on a two-dimensional lattice interacting with their nearest neighbors via an exchange interaction.
		A renormalization group analysis combined with duality in the model shows that at high temperature and high field, the vortices unbind as the magnetic field is lowered in a two-step process: strings of overturned spins first proliferate and then vortices unbind.
		We have considered the symmetric periodic Anderson model where the dispersion of the d-band and the mixing term, is that of a 3-d cubic lattice.
	physics.berea.edu /~king/Research.htm (1305 words)

	Phase transition - Wikipedia, the free encyclopedia
		The most famous example is the Kosterlitz-Thouless transition in the two-dimensional XY model.
		In the three-dimensional Ising model for uniaxial magnets, detailed theoretical studies have yielded the exponent α ∼ 0.110.
		For example, mean field theory predicts a finite discontinuity of the heat capacity at the transition temperature, and the two-dimensional Ising model has a logarithmic divergence.
	en.wikipedia.org /wiki/Phase_transition (2172 words)

	models
		The uniformly frustrated XY model is defined by the Hamiltonian
		For analytic convenience, in particular for making duality transformations to the 2D Coulomb gas model and the 3D interacting loop model, one often replaces the cosine function of the XY Hamiltonian with the Villain, or periodic Gaussian, function.
		is the circulation of the XY model's A
	spider.pas.rochester.edu /M/teitel/models.html (971 words)

	Soft phases in two-dimensional O(N) models. (Site not responding. Last check: 2007-10-08)
		It is generally believed by the statistical mechanics and quantum field communities that, unlike the xy-model, the classical Heisenberg O(N) model has exponentially decaying correlations at all temperatures.
		While for the xy model it has been shown by Bricmont et al [3] that this expansion is indeed the correct asymptotic expansion in the thermodynamic limit, a proof for the classical Heisenberg model does not exist.
		We gave arguments based on percolation theory [4] and on the structure of low-lying excitations (super-instantons) [5]; we discussed the weaknesses of the conventional arguments in [6].
	www.math.princeton.edu /~aizenman/OpenProblems.iamp/9904.O(N)in2D.html (323 words)

	Vorteces in the XY model (Site not responding. Last check: 2007-10-08)
		As we know in the XY model spins rotate in a plane.
		But in the 2D XY model there are interesting excitations with nontrivial topology - vorteces and anti-vorteces (marked to the left by red and green squares).
		The XY model is dual to the 2D Coulomb model.
	ibiblio.org /e-notes/Perc/xy.htm (425 words)

	Abstracts - Bose (Site not responding. Last check: 2007-10-08)
		Although the model provides a way to study the ordering tendency in the alloy based on an ab initio electronic structure calculation, it is deficient in capturing all the intricacies of the interplay between magnetic and chemical structure.
		Monte Carlo studies of the frustrated classical planar or XY model on two dimensional Penrose and octagonal lattices reveal a high temperature paramagnetic state changing to a spin-glass phase as the temperature is lowered.
		The locations and the ratio of the concentrations of Cu and Co atoms in the model are found to be important in determining the shape and the magnitude of the density of states at the Fermi level.
	www.physics.brocku.ca /www/faculty/bose/bos.abs.html (4032 words)

	Fast Fords - Then & Now : Ford Falcon GTHO Phase III and Ford Taurus SHO
		Falcon GT models had been introduced in 1967, starting with the 289ci V8 XR models that introduced the 4-door muscle sedan in Australia, however it wasn't until 1971 that the XY GT was released.
		Only one model is quite rare, the SHO Plus produced only as a 1991 model that featured various cosmetic modifications and, on a small number of cars, fibreglass hoods.
		A '93 model in automatic guise reaches 60 mph in 7.5 seconds, the 1/4 mile mark in 15.4 and eventually attains a top speed of over 140 mph (225 km/h), while manual equipped cars are generally even faster.
	www.fantasycars.com /sedans/column/sedans8_ford.html (935 words)

	Model Group: Triple-Divide^TM Translation Stages (Site not responding. Last check: 2007-10-08)
		Model 9064-X X-Translation Stage - NOTE: Actuators are not included with these stages.
		Its 1.5" height creates a stable platform and the e·z·Trac allows you to coarsely position in both X and Y before finely positioning the stage using the actuators.
		Model 9064-XZ XZ-Translation Stage - The XZ Triple-Divide
	www.newfocus.com /product/modelgroup.cfm?productlineid=3&modelgroupid=1089 (359 words)

	[No title]
		For example, in the usual isotropic XY case, if $T_{i,j}$ is the (bond) event that $i$ is connected to $j$ then, e.g.
		The usual definition of {\it percolation} in correlated models starts, in finite volume, with the probability of a connection to the boundary in the boundary conditions that optimize this probability.
		In fact, for the $XY$ model, and several other of the models under consideration, both of these bounds follows because it can be proved, via correlation inequalities, that the $\bold 1^+$ state is exactly the state that produces the magnetization.
	www.ma.utexas.edu /mp_arc/html/papers/98-500 (6648 words)

	Zierick Equipment (Site not responding. Last check: 2007-10-08)
		Zierick's Model 9700 XY Terminal Insertion System is fully automatic, with a machine cycle rate of over 5,000 pph.
		Designed for maximum reliability, the Zierick Model 9700 XY Positioning System terminal insertion system is an ideal work cell for production lines, and provides solutions for the fluctuating demands of contract manufacturers.
		The 9700 XY incorporates a modified 9700 terminal insertion machine with a dual axis positioning system to achieve high speed, repeatable insertions through a set of programmed coordinates.
	www.zierick.com /connectors/c_model_9700xy.php (287 words)

	Defects in Ordered Phases - Domain
		But, there is a phase transition at finite temperature in the d=2 XY model (n=2, d=2), that involves topological defects of the ordered phase called `vortices'.
		It is possible to analyze the XY model without worrying at all about the spins, and considering only the vortex defects.
		In the treatment of this model the temperature and the chemical potential are usually treated as independent variables.
	www.uic.edu /classes/phys/phys461/phys532-03/notes/notes16.html (1395 words)

	\mcs{} \input{version.txt} \ User Guide
		For the former, the sole prerequisite is that we have the means of computing the likelihood of each generated model: that is, for computing the probability of data given the model.
		To run experiments over different model spaces one needs to: (a) write a generator SLP, (b) write a Prolog program that implements the likelihood function of a model given some input data, and (c) if desired, write programs for displaying the models on screen with graphics software.
		Model is the representation of the model to be displayed, and Llhood is its log-likelihood.
	www.cs.york.ac.uk /aig/slps/mcmcms/MCMCMS_uguide.html (9074 words)

	Syllabus of Physics 682
		Other applications of 2d XY model: superfluidity of films and melting of 2d crystals.
		Correspondence between quantum model at T=0 in d-spacial dimensions and classical model at finite temperature T in d+1 dimensions.
		XY and Ising models, and 3d classical Heisenberg.
	felix.physics.sunysb.edu /~abanov/Teaching/Spring2001/syllabus.html (124 words)

	Zierick Equipment (Site not responding. Last check: 2007-10-08)
		The Model 9700 has a machine cycle rate of 5,000 pph.
		The Model 9700 delivers fast performance, with production rates up to 5,000 pph, and inserts Zierick’s full range of continuous strip PCB terminals and connectors.
		This model is designed for easy operator use, and set-up, alignment, and terminal changeover are accomplished by a number of key equipment features.
	www.zierick.com /connectors/c_model_9700.php (122 words)

	4.4.4 XY Model
		The XY (or O(2)) model consists of a set of continuous valued spins regularly arranged on a two-dimensional square lattice.
		Fifteen years ago, Kosterlitz and Thouless (KT) predicted that this system would undergo a phase transition as one changed from a low-temperature spin wave phase to a high-temperature phase with unbound vortices.
		FPS software allowed the use of C with a software model similar (communication implemented by subroutine call) to that used on the hypercubes at Caltech.
	www.netlib.org /utk/lsi/pcwLSI/text/node46.html (549 words)

	Homepage of Martin Weigel
		The F Model on Random Planar \phi^4 Graphs, CompPhys02, Leipzig, Germany, December 10, 2002.
		Influence of Geometrical Disorder on the Potts Model, DPG Frühjahrstagung, Dresden, Germany, March 26, 2003.
		Ground States and Defect Energies of the Two-dimensional XY Spin Glass from a Quasi-Exact Algorithm, 31st Conference of the Middle European Cooperation in Statistical Physics, Primosten, Croatia, April 25, 2006.
	www.physik.uni-leipzig.de /~weigel/english/pubs.html (1083 words)

	Ford Falcon 4WD
		The 4WD Falcon XY ute was an official Ford project, but from time to time enthusiasts have had similar ideas.
		Because we were late into the XY model, testing was carried out immediately prior to planned production, and here some snags arose.
		The 430 bodies were produced as the had to be before XY runout and put in the back yard of the plant.
	www.ebroadcast.com.au /ecars/Ford/Falcon.html (761 words)

	Excitations in 1D spin chain
		We begin with a very simple example of 1D chain of XY spins (the spins rotate in a plane).
		In the XY model on (x, y) plane spin energy is
		Contents Previous: Vorteces in the XY model Next: Topological solitons in the Heisenberg ferromagnetic
	www.ibiblio.org /e-notes/Perc/chain.htm (504 words)

	Publications, A. W. Sandvik
		Melko, A. Sandvik, and D. Scalapino, Aspect-ratio dependence of the spin stiffness of a two-dimensional XY model, Phys.
		Sengupta, A. Sandvik, and D. Campbell, Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling, Phys.
		Sandvik and A. Sudbö, Superconductivity and spin gap in the high-doping regime of a CuO chain model, Europhys.
	physics.bu.edu /~sandvik/publications.html (1350 words)

	The Case of : Quantum XY Model and theTopological Transition (Site not responding. Last check: 2007-10-08)
		The Case of : Quantum XY Model and theTopological Transition
		It is well known now that the two-dimensional (2D) classical (planar) XY model undergoes Kosterlitz-Thouless (KT) [Kosterlitz:73a] transition at
		Changing from the classical model to the quantum model, additional quantum fluctuations (which are particularly strong in the case of spin-1/2) may alter the physics significantly.
	www.netlib.org /utk/lsi/pcwLSI/text/node108.html (173 words)

	S.E. Korshunov: publications (Site not responding. Last check: 2007-10-08)
		Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models
		Phase transitions in the antiferromagnetic XY model with a kagome lattice
		Fluctuation induced vortex pattern and its disordering in the fully frustrated XY model on a dice lattice
	www.itp.ac.ru /~serkor/publications.html (580 words)

	Subtlety in the Critical Behavior of the Two Dimensional XY Model (Site not responding. Last check: 2007-10-08)
		Subtlety in the Critical Behavior of the Two Dimensional XY Model
		We study the two dimensional classical XY model using the single cluster Monte Carlo algorithm^1.
		We present extensive high -temperature -phase bulk data that are extracted based on a novel finite- size- scaling Monte Carlo technique^2.
	flux.aps.org /meetings/BAPSMAR96/abs/S800024.html (148 words)

	Dynamic Scaling Behavior of the Classical 2d XY Model (Site not responding. Last check: 2007-10-08)
		Dynamic Scaling Behavior of the Classical 2d XY Model
		The dynamic critical behavior of the two dimensional classical ferromagnetic three-component XY model has been determined by large scale simulations on L\times L lattices, with 64\leq L\leq 256, for a wide range of temperatures below and around T_c.
		We employed Monte Carlo to generate 1000 initial configurations for each set of parameters, and Spin Dynamics up to t=800 for the real time evolution of each initial state.
	flux.aps.org /meetings/BAPSMAR95/abs/SN2105.html (176 words)

	Institut für Theoretische Physik B, RWTH Aachen
		X.S. Chen, V. Dohm, and D. Stauffer, "Nonmonotonic external field dependence of the magnetization of the finite Ising model: Theory and MC simulation", Eur.
		Krech and D.P. Landau, "Spin-dynamics simulation of the three-dimensional XY model: Structure factor and transport properties", Phys.
		D.P. Landau and M. Krech, "Spin dynamics of classical ferro- and antiferromagnetic model systems: Comparison with theory and experiment", J.
	tpb.physik.rwth-aachen.de /Dohm/Gruppe.phtml.de (896 words)

	Amnon Aharony's Home Page
		XY-to Gaussian crossover for the Potts model transition near the bicritical point of stressed SrTiO
		Four band model for oxygen holes in Copper Oxide superconductors, II.
		Towards a Microscopic Model of Magnetoelectric Interactions in Ni Phys.
	www.tau.ac.il /~aharony (3951 words)

	Laser Resale: used lasers, laser systems, laser associated equipment, optical laboratory equipment. Industrial, ... (Site not responding. Last check: 2007-10-08)
		6390.....$12,000 Hobart model MM2400 / Nd:YAG rated 2400 watts CW 3 phase 208/220 volts / mfrd '93 / as is cond, operational when taken out of service // also avail $6000 Chiller, Alpha Environmental Frig.
		6035.....$7000 or BO LMI model 1510 XY Table / 62"x 122"x 12" XYZ travel / overall size 10' x 18' x 4' / one motor is missing / rails (ways) & lead screws appear in gd cond.
		5923.....$150 Burleigh Keypad model 7004 w/cable / mfrd ~'90 / gd cond
	www.laserresale.com /LRSearch1_action1.asp (12999 words)

	Nonequilibrium statistical mechanics and fluid dynamics / Lyapunov (Harald A. Posch)
		Hoover, “Multifractal phase-space distributions for stationary nonequilibrium systems”, in Dynamics: Models and Kinetic Methods for Nonequilibrium Many-Body Systems, J. Karkheck, ed., NATO ASI Series E: Applied Sciences - Vol.
		Hoover and H.A. Posch, “Chaos and irreversibility in simple model systems”, Chaos, 8, 366 - 373 (1998).
		Dellago and H.A. Posch, “Lyapunov instability of the boundary-driven Chernov-Lebowitz model for stationary shear flow”, J. Stat.
	homepage.univie.ac.at /Harald.Posch/publications.htm (2246 words)

	Products - indexer range
		Automatic XY indexing table for flat substrates or packages.
		Automatic XY Theta indexing table for flat substrates or packages.
		Automatic indexer for continuous film up to 250 mm wide.
	www.robotherm.com /us/prod_ind.htm (72 words)

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