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Topic: Lattice models


  
 Nonequilibrium Phase Transitions in Lattice Models   (Site not responding. Last check: 2007-10-21)
The lattice gas, with anisotropic diffusion, driven by a field, which is used as a first substantial example, is a case of the former and a lattice gas with isotropic diffusion and a reaction (particle creation-annihilation), which follows it, provides an example of a two-temperature system.
This is mainly due to the fact that lattice models can be typically specified by their energy function or by the "hamiltonian" on the configuration space, and many models (lattice Markov processes or particle systems) admit a definition through a set of transition probabilities.
Equilibrium lattice models are typically specified by their energy function or `Hamiltonian' on configuration space; here, the models (we restrict our attention to lattice Markov processes or particle systems) are defined by a set of transition probabilities.
ergodic.ugr.es /jmarro/pages/comments.htm   (2403 words)

  
 BioMedical Engineering OnLine | Full text | Transport lattice models of heat transport in skin with spatially ...
Models which include temperature-dependent increases in perfusion are more difficult to solve, but the case of a linear temperature dependence have been described using analytical expressions [33] and numerical simulations [24].
A motivation for the transport lattice for heat conduction is the electrical equivalence of heat transport (a diffusion process [27]).
The use of transport lattice approach for predicting heat transport in spatially heterogeneous structures is further illustrated with a two-dimensional model of the skin.
www.biomedical-engineering-online.com /content/3/1/42   (6170 words)

  
 Lattice - Wikipedia, the free encyclopedia
In nontechnical usage, a lattice is a structure of crossed laths with open spaces left between them; see also lattice tower, lattice steel pylon, lattice bridge.
These lattices can also be defined as algebraic structures.
In computational physics a lattice is an n-dimensional geometrical structure of sites, connected by bonds, which represent positions which may be occupied by atoms, molecules, electrons, spins, etc. For an article dealing with the formal representation of such structures see Lattice Geometries.
en.wikipedia.org /wiki/Lattice   (452 words)

  
 Lattice models for the study of the glass transition   (Site not responding. Last check: 2007-10-21)
Therefore we have developed a model in which the interactions are not quenched, and are instead allowed to evolve with time, with some kind of kinetic constrain [3].
In this version of the model there is no diverging static correlation length, but one can define a dynamical correlation length which diverges at some temperature, as observed in molecular dynamics simulations and predicted by the effective potential theory [1,4].
As observed in the model with annealed interactions, we expect that this model does not have any static diverging correlation lenght, and shows instead a diverging dynamical correlation lenght, as observed in molecular dynamics simulations and expected from the effective potential theory [1,4].
infm.cineca.it /preventivi_consuntivi/preventivo01/DeCandia/project.html   (1280 words)

  
 DIMACS International Conference on Computational and Mathematical Epidemiology
Models for the Transmission of Cultural Traits and Their Impact on Cultural Norms: The Case of Terrorists Carlos Castillo-Chavez Cornell University Epidemiological approaches are used to model the impact of peer pressure on individual behavior at the population level.
Such modeling highlights the importance of variables such as the number of personnel available for contact tracing and vaccination, the rates with which the population can be vaccinated, and the accuracy of contact tracing in addition to standard epidemiological parameters such as the reproductive rate of infection and disease progression rates.
The first model is a risk-benefit model analyzing the value of pre-exposure smallpox vaccinations, the second model examines the economics of quarantine, and the third model examines the optimization of logistics to maximize the number of persons giving pre- or post-exposure prophylaxis.
dimacs.rutgers.edu /Workshops/Opening/abstracts.html   (6705 words)

  
 Lattice Models
The simulation of protein dynamics, as well as mathematical models describing the statistical properties of proteins, are impeded by the complex atomic structure of the protein chain.
While lattice models lack atomic detail, they contain the fundamental microscopic attributes of proteins: linear connectivity, chain flexibility, excluded volume and sequence dependent intra-chain interactions [8].
Lattice models avoid computation on this scale by neglecting atomic detail, capturing solely the more thermodynamically relevant conformational changes along the peptide chain.
www.tcm.phy.cam.ac.uk /%7Etmf20/PHYSICS/thesis/node18.html   (618 words)

  
 Lattice Model of a Cable   (Site not responding. Last check: 2007-10-21)
As long as the deformation is moderate, the lengths of these segments are all equal, forming rhombuses (equilateral parallelograms) with common sides (but of different shapes), and the cable is represented by a lattice composed of these rhombuses.
The model is purely kinematic (geometric) so the strands are free to flex (hard-way) at their intersections where they may form corners as though the stress-strain tensor were zero.
In the above model an attempt is made to maintain equi-distance between adjacent strand-crossings for as long as possible.
tdpc02.fnal.gov /cook/Lattice.html   (460 words)

  
 group lattice models ssm/i   (Site not responding. Last check: 2007-10-21)
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nag.ljudmila.org /viehoff_is_great/51.html   (6966 words)

  
 Quantum Lattice Models at Intermediate Temperature (ResearchIndex)   (Site not responding. Last check: 2007-10-21)
0.9: Analyticity In Hubbard Models - Ueltschi (1998)
10 the Ising model of ferromagnetism (context) - Peierls - 1936
1 Analyticity in Hubbard models - Ueltschi - 1999
citeseer.ist.psu.edu /444332.html   (464 words)

  
 An Order Parameter for Dynamic Arrest: Unveiling Elements of 'Universality' in Lattice Models of the Dynamical Arrest
Holes may be created and destroyed by movements of particles on the lattice, a common occurrence being a particle movement that unblocks a vacancy and renders it a hole, or the reverse.
We find a vanishingly small arrest density of holes for the BM and EM models, but in the KA model it is worth noting that a small but measurable number of isolated holes remains at the arrest density, and their density at arrest is subtracted to obtain the order parameter of arrest [18].
For the ideal lattice gas it has been recognised that when a particle moves into a hole, the hole that is emitted from the particle site is either filled by a new particle (in which case the move contributes to diffusion) or the particle (and therefore hole) returns to its original site.
fiachra.ucd.ie /~aonghus/publications/prl/prlnew7.html   (2561 words)

  
 Lattice (spatial) models of the Ultimatum game   (Site not responding. Last check: 2007-10-21)
Recall that in Skyrms's replicator dynamic model of the Nash bargaining game, the basins of attraction for the special case where we restrict attention to the three strategies of Demand 1/3, Demand 1/2, and Demand 2/3 are as indicated in the diagram to the right.
The lattice model is a special case of the more general setting where interactions between members of the population are determined by some predefined social network.
For our purposes, though, we only consider lattice models in which individuals interact with their "neighbors", where the neighbors of an individual are determined by one of the following neighborhoods.
www.ags.uci.edu /~jalex/lattice-models   (1262 words)

  
 Correlated Wave-Functions and Long-Range Order
In particular, we focused on the phase diagram of the two-dimensional repulsive Hubbard model, calculated superconducting pairing correlations using a Bardeen-Cooper-Schrieffer (BCS) state as the constraining state, and compared the results with the case where a free-electron state is used.
Presently, we are exploring other models and geometries of strongly interacting electrons, like the n-leg Hubbard ladders, where supposedly an enhancement of superconducting d-wave pairing correlations exists.
The lack of clear numerical evidence of ODLRO upon doping suggests that the well-studied two-dimensional repulsive Hubbard model is an inappropriate one to describe the superconducting phase of the high-temperature superconducting materials.
www.nersc.gov /news/annual_reports/annrep98/gubernatis.html   (515 words)

  
 CCSD thèses-EN-ligne: Frustration and disorder in discrete lattice models   (Site not responding. Last check: 2007-10-21)
In two dimensions we analyze the model using finite-size scaling and conformal invariance, and find a continuous transition with a magnetic exponent beta/ nu which varies continuously with q, and a weakly varying correlation length exponent nu ~ 1.
For q>4 the first-order transitions of the pure model are softened due to the impurities, and the resulting universality class is different from that of the pure Ising model.
Compact polymers are identified with a particular point in the phase diagram of the loop model, and the non-mean field value of the conformational exponent gamma = 117/112 is calculated for the first time.
tel.ccsd.cnrs.fr /documents/archives0/00/00/21/36/index.html   (788 words)

  
 APS - 2005 APS March Meeting PostDeadline - Event - Lattice-Boltzmann Models of Ion Thruster Cathode 3D MHD Flows   (Site not responding. Last check: 2007-10-21)
The lattice-Boltzmann method (LBM) has been applied to modeling the flow through ion thruster optics where a linearized Boltzmann equation for a lattice is coupled to Poisson's equation for the electrostatics.
LBM has also been implemented in modeling three-dimensional (3D) magneto-hydrodynamics (MHD) wherein the magnetic field is represented by a separate three-component vector distribution function corresponding to a vector kinetic equation.
Discretization of the 3D phase space is based on a 19-bit scheme for the fluid model and on a 7-bit scheme for the magnetic field versus finite differencing of all of Maxwell equations.
meetings.aps.org /Meeting/MAR05/Event/25302   (224 words)

  
 Lattice Boltzmann Models   (Site not responding. Last check: 2007-10-21)
There are a number of difficulties with the lattice gas approach to fluid modelling; various modifications have been made to overcome these difficulties and the outcome is the lattice Boltzmann model.
The model is updated in the same manner as the lattice gas model except that now, instead of considering individual particles to be travelling along the links, it is the distribution function which is evolved.
The lattice Boltzmann model has the advantages associated with the lattice gas model but all the lattice gas difficulties have been overcome.
www.ph.ed.ac.uk /~jmb/thesis/node13.html   (202 words)

  
 MONTE CARLO SIMULATION OF CONFINED NEMATIC LATTICE MODELS   (Site not responding. Last check: 2007-10-21)
PASINI and C. Computer simulations of lattice spin models are in widespread use in the study of phase transitions and critical phenomena in various fields of physics [1].
As long as the properties of interest are purely orientational, there are several advantages in using simple lattice models, with respect to potentials with translational degrees of freedom, and particularly the possibility of performing simulations on a larger number of particles (a few tens of thousand are now currently doable on workstations).
As an alternative, using smaller lattices (of the order of a thousand particles), it is possible to investigate potentials for more complicated systems depending on additional parameters, for example associated with boundary conditions and field strengths, over a wide range of state points.
ising.phys.cwru.edu /proceedings/ppasini/ppasini.html   (442 words)

  
 Geometric And Probabilistic Aspects Of Boson Lattice Models (ResearchIndex)   (Site not responding. Last check: 2007-10-21)
These models are relevant in statistical physics, and have natural ties with probability theory.
A lattice model with Lennard-Jones potential is studied as an example of a system where first-order phase transitions occur.
1.2: Analyticity In Hubbard Models - Ueltschi (1998)
citeseer.ist.psu.edu /427038.html   (616 words)

  
 Organic Chemistry, Biochemistry, Lattice Moleculare Model Sets for Ball and Stick Framework Structures
Orbit molecular model sets are well suited for studies in organic chemistry, biochemistry and lattices.
Class model sets make more types of carbonyl, imino and optically active (chiral) compounds, carbocation intermediates, fluorocarbons, complex ions and for studies in advanced isomerism, reaction mechanisms, cumulated groups.
Class molecular model set have more 2, 3, 4, 6, 8, 12 coordinate atoms to build all 7 basic structures at once and many more and larger structures.
www.indigo.com /models/orbit-molecular-model-sets.html   (344 words)

  
 Molecular model kits from $6.00. Organic chemistry, lattices, DNA.
Orbit molecular model kits provide an economical way to build a wide variety of specific models such as diamond, sodium choride, ice, etc. If you don't see what you want, we can quote you a custom kit.
Note: If you are taking organic chemistry, you may really be looking for one of our student molecular model sets.
Models can be assembled for double the price; be sure to indicate this in the "Comments" section of the order form.
www.indigo.com /models/orbit-molecular-model-kits.html   (493 words)

  
 Mol. Phys., 1996   (Site not responding. Last check: 2007-10-21)
Abstract: We have developed a lattice model in the mean-field approximation in order to study the surface phase behaviour of the Lennard-Jones system.
We have studied the effects of all of the inherent approximations in the model, and performed many supplementary calculations to determine the sensitivity of the bulk and surface phase diagrams to these approximations.
We have investigated the phenomenon of surface melting using this model, and found that the three different crystal faces we consider all exhibit different degrees of layering behavior at the onset of surface melting.
www.chemistry.wustl.edu /~gelb/molphys1996.html   (231 words)

  
 School of Physics Annual Report 1999
In the large kinetic energy limit we find p-wave bound states favoured over the expected d-wave states, which we claim is a manifestation of the Kohn-Luttinger effect.
a study of the Hubbard model on a two-leg ladder.
Dispersion curves for two-hole bound states in the t-J model on the square lattice.
www.phys.unsw.edu.au /ANNUAL_REPORTS/1999/research5_lattice.html   (305 words)

  
 APS - 2005 APS March Meeting PostDeadline - Event - Hierarchical lattice models with evidence of metallic conductance: ...   (Site not responding. Last check: 2007-10-21)
A detailed study of linear-wave dynamics on a family of finitely ramified, hierarchical lattices that includes the modified rectangle of Dhar shows that the spectrum contains only a continuum with a smooth local density of states.
This is in contrast with the typical spectrum associated with linear-wave models on finitely ramified fractals, like the Sierpi\'{n}ski lattice, that consist of a Cantor-like portion with a sequence of isolated eigenvalues sitting in the gaps of the Cantor set.
Both the modified rectangle of Dhar and modified cube demonstrate these novel properties and suggest the possibility of cross-over as a function of energy between metallic and insulating regimes.
meetings.aps.org /Meeting/MAR05/Event/21734   (204 words)

  
 Stretching lattice models of protein folding -- Socci et al. 96 (5): 2031 -- Proceedings of the National Academy of ...
models that treat the reaction coordinate as a length can be misleading.
Lattice simulations were carried out with Monte Carlo kinetics (8, 9) using the sum of the internal (contact) energies
of the model protein as a function of the tensile force.
www.pnas.org /cgi/content/full/96/5/2031   (3069 words)

  
 DIAGRAM >> Strength of Binding...
Around the planned incision the skin is thoroughly disinfected (so, for instance, the abdomen may be coated with wide strokes of anaseptic chemical).
stypsis, and thus intervention in a preferably bloodless space; Ch11(14), LQT1: Portion of an EKG model used to diagnose and render long-QT syndrome, an inherited cardiac arrythmia associated with mutations in a mitrochondrial ion channel protein.
Next, a rectangle of skin is dabbed dry, and green paper towels are placed around it and affixed to the skin, thus marking the area of operation as a strip of skin.
webdelsol.com /DIAGRAM/1_1/thacker1.html   (568 words)

  
 [No title]   (Site not responding. Last check: 2007-10-21)
Second, since each folding event is microscopically different, folding pathways must be characterized statistically; the ability to simulate tens of millions of folding events in parallel is critical to the success of this project.
By direct evaluation of the free energy surface of a model protein we have demonstrated the existence of a third phase of proteins, the "molten globule." The molten globule is a distinct liquid-like state that appears in the phase diagram of proteins separated by first order phase transitions from the unfolded and folded ("native") states.
Transition states and intermediates in a lattice model for protein folding.
www.nersc.gov /news/annual_reports/annrep97/rokhsar.html   (460 words)

  
 XML Schema for quantum lattice models
As part of the ALPS project we need to describe quantum lattice models in a common format.
In the XML schema proposed here, the lattice descriptions using the lattice schema are associated with basis and Hamiltonian descriptions for each site and bond in the lattice.
The basis set of a lattice model is specified by giving the basis for each type of sites (vertices) in the lattice.
xml.comp-phys.org /schemas/model   (541 words)

  
 1996 Concrete Publications - Fracture Simulations of Concrete Using Lattice Models: Computational Aspects.   (Site not responding. Last check: 2007-10-21)
This paper addresses some lattice model techniques used in numerical simulations of fracture in concrete and other random materials.
The influence of lattice element type and lattice orientation on the fracture pattern was investigated by simulating a shear loading experiment on a concrete plate.
For the implementation of heterogeneity in the model, a method has been developed that uses digital images of the real microstructure of a material.
www.bfrl.nist.gov /861/vcctl/conc97/art009.html   (190 words)

  
 Asgard: Project Description
While it is known that the electrons in the planes interact strongly, the exact mechanism that causes the unusual properties of these models is not yet fully understood.
We would like to study microscopic models for these materials using the high temperature series expansion technique to obtain a better understanding of them and to resolve open questions.
A connected subgraph of a square lattice shown in green.
www.asgard.ethz.ch /day/ws0001/koerner.phtml   (359 words)

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