Search results for "lattice [space-time]"

showing 10 items of 692 documents

Critical behavior of a tumor growth model: directed percolation with a mean-field flavor.

2012

We examine the critical behaviour of a lattice model of tumor growth where supplied nutrients are correlated with the distribution of tumor cells. Our results support the previous report (Ferreira et al., Phys. Rev. E 85, 010901 (2012)), which suggested that the critical behaviour of the model differs from the expected Directed Percolation (DP) universality class. Surprisingly, only some of the critical exponents (beta, alpha, nu_perp, and z) take non-DP values while some others (beta', nu_||, and spreading-dynamics exponents Theta, delta, z') remain very close to their DP counterparts. The obtained exponents satisfy the scaling relations beta=alpha*nu_||, beta'=delta*nu_||, and the general…

Time FactorsBiophysicsFOS: Physical sciencesModels BiologicalDiffusionNeoplasmsHumansComputer SimulationScalingCondensed Matter - Statistical MechanicsMathematical physicsMathematicsCell ProliferationProbabilityLattice model (finance)Statistical Mechanics (cond-mat.stat-mech)Condensed matter physicsNeovascularization PathologicRenormalization groupModels TheoreticalDirected percolationDistribution (mathematics)Mean field theoryExponentBlood VesselsCritical exponentMonte Carlo MethodAlgorithmsPhysical review. E, Statistical, nonlinear, and soft matter physics
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Structure and Properties of YbZnSn, YbAgSn, and Yb2Pt2Pb

1999

Abstract YbZnSn, YbAgSn, and Yb2Pt2Pb were synthesized by reacting the elements in sealed tantalum tubes in a high-frequency furnace. The structures of YbAgSn and Yb2Pt2Pb were refined from single crystal X-ray data: YbAgPb type, P 6 m2, a=479.2(2) pm, c=1087.3(3) pm, wR2=0.050, BASF=0.34(8), 509 F2 values, 18 variables for YbAgSn and Er2Au2Sn type, a=776.0(1) pm, c=701.8(2) pm, wR2=0.072, 426 F2 values, 18 variables for Yb2Pt2Pb. The lattice constants of YbZnSn are confirmed: NdPtSb type, P63mc, a=464.7(1) pm, c=747.7(2) pm. The stannides YbZnSn and YbAgSn crystallize with superstructures of the AlB2 type. The zinc (silver) and tin atoms form ordered Zn3Sn3 and Ag3Sn3 hexagons, respectivel…

Valence (chemistry)ChemistryMetallurgychemistry.chemical_elementCrystal structureQuadrupole splittingCondensed Matter PhysicsMagnetic susceptibilityElectronic Optical and Magnetic MaterialsInorganic ChemistryParamagnetismCrystallographyLattice constantMaterials ChemistryCeramics and CompositesPhysical and Theoretical ChemistryTinSingle crystalJournal of Solid State Chemistry
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2D slab models of TiO2 nanotubes for simulation of water adsorption: Validation over a diameter range

2020

Financial support provided by Scientific Research Project for Students and Young Researchers Nr. SJZ/2019/2 realized at the Institute of Solid State Physics, University of Latvia is greatly acknowledged. Institute of Solid State Physics, University of Latvia as the Center of Excellence has received funding from the European Union’s Horizon 2020 Framework Programme H2020-WIDESPREAD-01-2016-2017-TeamingPhase2 under Grant Agreement No. 739508, project CAMART 2 .

Work (thermodynamics)NanotubeSlab modelMaterials scienceWater adsorptionGeneral Physics and Astronomy02 engineering and technology01 natural sciencesDFTNanomaterialsCondensed Matter::Materials ScienceAdsorptionLattice constant0103 physical sciences:NATURAL SCIENCES:Physics [Research Subject Categories]TiO2Water splitting010302 applied physicsNanotubes021001 nanoscience & nanotechnologylcsh:QC1-999Chemical physicsSlabWater splitting0210 nano-technologylcsh:PhysicsPhotocatalytic water splitting
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Lattice dynamics of superconducting zirconium and hafnium nitride halides

2003

We have performed a study of the Raman active modes of β-HfNCl, β-ZrNCl, and β-ZrNBr and Na-doped β-HfNCl in various scattering configurations. The experimental values are compared with a lattice dynamical calculation andassigned to definite atomic motions. The variation of the atomic force constants are analyzed as a function of the bond length, relating their relative strength with the atomic characteristics of the compound.

ZirconiumMaterials sciencePhononScatteringchemistry.chemical_elementNitrideMolecular physicsHafniumBond lengthsymbols.namesakeLattice constantchemistrysymbolsPhysics::Atomic PhysicsRaman spectroscopy
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Topological properties of cellular automata on trees

2012

We prove that there do not exist positively expansive cellular automata defined on the full k-ary tree shift (for k>=2). Moreover, we investigate some topological properties of these automata and their relationships, namely permutivity, surjectivity, preinjectivity, right-closingness and openness.

[INFO.INFO-CC]Computer Science [cs]/Computational Complexity [cs.CC]FOS: Computer and information sciencesDiscrete Mathematics (cs.DM)Formal Languages and Automata Theory (cs.FL)FOS: Physical sciencesComputer Science - Formal Languages and Automata Theory0102 computer and information sciences[INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]Computational Complexity (cs.CC)Topology01 natural scienceslcsh:QA75.5-76.95[INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]0101 mathematicsF.1.1;F.1.2;F.1.3MathematicsCellular Automata and Lattice Gases (nlin.CG)lcsh:Mathematics010102 general mathematicsCellular automaton tree shift expansivity permutivity right-closingness opennesslcsh:QA1-939Nonlinear Sciences::Cellular Automata and Lattice GasesCellular automatonAutomatonComputer Science - Computational Complexity010201 computation theory & mathematicsTree (set theory)lcsh:Electronic computers. Computer scienceF.1.2F.1.3ExpansiveNonlinear Sciences - Cellular Automata and Lattice GasesF.1.1Computer Science::Formal Languages and Automata TheoryComputer Science - Discrete Mathematics
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Synchrotron radiation multiple diffraction study of Al0.304Ga0.172In0.524As MOVPE grown onto InP(001)

1997

Synchrotron radiation multiple diffraction in Renninger scanning (RS) geometry is used to characterise an Al0.304Ga0.172In0.524 As hetero-epitaxial layer MOVPE grown onto InP(001). (006) RS data for bulk, InP substrate and the quaternary layer were obtained using a new experimental set-up on station 7.6 at the Daresbury synchrotron radiation source. Examination of the multiple diffraction peak profiles reveal the epitaxial layers to have a higher mosaic spread than the underlying substrate materials. Measurements of the layer parallel lattice parameter a∥ = 5.8755 ± 0.003 A, as deduced from the tetragonal distortion measured at the 6-beam case in the layer RS, agrees very well with that obt…

business.industryChemistrySynchrotron Radiation SourceAnalytical chemistrySynchrotron radiationSubstrate (electronics)Condensed Matter PhysicsEpitaxyInorganic ChemistryTetragonal crystal systemLattice constantOpticsMaterials ChemistryMetalorganic vapour phase epitaxybusinessLayer (electronics)Journal of Crystal Growth
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A truncated driven Overhauser effect study of Adriamycin in water: Conformation of the glycosidic linkage

1991

Abstract Truncated driven nuclear Overhauser effect difference spectra have been used to ascertain the conformational characteristics of the glycosidic linkage of Adriamycin in aqueous solution. The “two-spin approximation” has been employed to evaluate the cross-relaxation rates between nearby protons and to obtain the relative internuclear distances. The rotational angles φ1 = C(7)−O(7)−C(1′)−(H1′) and φ2 = H(7)−C(7)−O(7)−C(1′) have also been calculated.

chemistry.chemical_classificationAqueous solutionGeneral EngineeringSpin–lattice relaxationAnalytical chemistryGlycosidic bondNuclear magnetic resonance spectroscopyNuclear Overhauser effectSpectral lineCrystallographysymbols.namesakeFourier transformchemistrysymbolsSpectrochimica Acta Part A: Molecular Spectroscopy
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Lattice fluid model generalized for specific interactions: An application to ternary polymer solutions

2011

Abstract The phase diagram of the Poly- l -Lactic-Acid (PLLA), dioxane and water system was derived by using the lattice fluid model generalized for specific interactions. A qualitative analysis of Hansen solubility parameters together with empirical observations were adopted to reduce the number of adjustable parameters. The as-selected model parameters were derived by fitting a set of cloud point curves; consequently, the complete phase diagram of the system was computed. The use of specific interactions between species gave out a quantitative agreement with a set of experimental data, whereas changing the polymer polydispersity the agreement is only qualitative. In principle, the present…

chemistry.chemical_classificationCloud pointGeneral Chemical EngineeringLiquid–liquid equilibriaDispersityPhase separationGeneral Physics and AstronomyThermodynamicsExperimental dataPolymerPolymer solutionSet (abstract data type)Lattice fluid modelHildebrand solubility parameterchemistryPhysical and Theoretical ChemistryTernary operationPhase diagramFluid Phase Equilibria
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Dynamics of confined polymer melts: Recent Monte Carlo simulation results

2000

The dynamic behavior of thin polymer films is studied by Monte Carlo simulations of a simplified lattice model. The film geometry is realized by two opposite hard walls whose distance is varied in the simulations. In the films the dynamics is accelerated with respect to the bulk, leading to a decrease of the extrapolated glass transition temperature with decreasing film thickness.

chemistry.chemical_classificationCondensed Matter::Materials ScienceCondensed matter physicsChemistryCondensed Matter::SuperconductivityMonte Carlo methodDynamics (mechanics)General Physics and AstronomyStatistical physicsPolymerGlass transitionLattice model (physics)
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The glass transition in (KI)0.5(ND4I)0.5 mixed crystals as studied by deuteron spin-lattice relaxation

1993

Abstract Nuclear spin resonance has been used to study the deuteron magnetization recovery in (KI)0.5(ND4I)0.5 mixed crystals. At high temperatures the spin-lattice-relaxation is exponential. For T ⪅ 45 K deviations from this simple behaviour occur, signalling the onset of spatial inhomogeneities due to the formation of an orientational glass. The results demonstrate that the transition of (KI)0.5(ND4I)0.5 into the glassy state is driven by the freezing of random bonds.

chemistry.chemical_classificationCondensed matter physicsSpin–lattice relaxationResonanceGeneral ChemistryCondensed Matter Physics530Exponential functionMagnetizationNuclear magnetic resonanceDeuteriumchemistryMaterials ChemistryGlass transitionInorganic compoundOrientational glass
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