2007, Oxford graduate texts, ISBN 0199227195, xii, 452

This work tries to provide an elementary introduction to the notions of continuum limit and universality in statistical systems with a large number of degrees...

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Renormalization (Physics) | Phase transformations (Statistical physics) | Physics

Book

Nuclear Physics B, ISSN 0550-3213, 07/2015, Volume 896, pp. 555 - 568

The coefficient c A required for O(a) improvement of the axial current in lattice QCD with N f =3 flavors of Wilson fermions and the tree-level...

CONTINUUM-LIMIT | MASS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

CONTINUUM-LIMIT | MASS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2012, Volume 85, Issue 11

We calculate the leptonic decay constants of B-(S) and D-(S) mesons in lattice QCD using staggered light quarks and Fermilab bottom and charm quarks. We...

PERTURBATION-THEORY | GAUGE-THEORIES | ASTRONOMY & ASTROPHYSICS | CONTINUUM-LIMIT | FERMIONS | QUARKS | PHYSICS | MODEL | PHYSICS, PARTICLES & FIELDS | decay | QCD | 72 | lattice | MILC

PERTURBATION-THEORY | GAUGE-THEORIES | ASTRONOMY & ASTROPHYSICS | CONTINUUM-LIMIT | FERMIONS | QUARKS | PHYSICS | MODEL | PHYSICS, PARTICLES & FIELDS | decay | QCD | 72 | lattice | MILC

Journal Article

Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2020, Volume 403, p. 132326

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2016, Volume 48, Issue 2, pp. 895 - 931

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 3/2016, Volume 2016, Issue 3, pp. 1 - 17

Supersymmetry provides a well-established theoretical framework for extensions of the standard model of particle physics and the general understanding of...

Supersymmetric gauge theory | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | LATTICE THEORIES | QCD | CONTINUUM-LIMIT | PHYSICS, PARTICLES & FIELDS | Analysis | Particle accelerators | Standard model (particle physics) | Supersymmetry | Mesons | Computer simulation | Yang-Mills theory | Lattices | Continuums | Mathematical models | low [energy] | High Energy Physics - Lattice | gauge [symmetry] | Theory | SU [Yang-Mills] | formation | field theory | 1 [supersymmetry] | Phenomenology | gluino | gluon | High Energy Physics | continuum limit | confinement | meson | spectrum [bound state] | ddc:530 | sparticle | nonperturbative | Nuclear and High Energy Physics | 530 Physics | glueball | High Energy Physics - Theory | 530 Physik | strong interaction | lattice | mass spectrum | supersymmetry [Yang-Mills]

Supersymmetric gauge theory | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | LATTICE THEORIES | QCD | CONTINUUM-LIMIT | PHYSICS, PARTICLES & FIELDS | Analysis | Particle accelerators | Standard model (particle physics) | Supersymmetry | Mesons | Computer simulation | Yang-Mills theory | Lattices | Continuums | Mathematical models | low [energy] | High Energy Physics - Lattice | gauge [symmetry] | Theory | SU [Yang-Mills] | formation | field theory | 1 [supersymmetry] | Phenomenology | gluino | gluon | High Energy Physics | continuum limit | confinement | meson | spectrum [bound state] | ddc:530 | sparticle | nonperturbative | Nuclear and High Energy Physics | 530 Physics | glueball | High Energy Physics - Theory | 530 Physik | strong interaction | lattice | mass spectrum | supersymmetry [Yang-Mills]

Journal Article

Physical Review Letters, ISSN 0031-9007, 01/2009, Volume 102, Issue 2, p. 026802

We present evidence, from lattice Monte Carlo simulations of the phase diagram of graphene as a function of the Coulomb coupling between quasiparticles, that...

TRANSITION | FERMI-LIQUID BEHAVIOR | DIMENSIONS | PHASE | PHYSICS, MULTIDISCIPLINARY | CONTINUUM-LIMIT | RENORMALIZATION-GROUP FLOW | GRAPHITE | SIMULATION | NEUTRINOS | LATTICE FERMIONS

TRANSITION | FERMI-LIQUID BEHAVIOR | DIMENSIONS | PHASE | PHYSICS, MULTIDISCIPLINARY | CONTINUUM-LIMIT | RENORMALIZATION-GROUP FLOW | GRAPHITE | SIMULATION | NEUTRINOS | LATTICE FERMIONS

Journal Article

Reviews of Modern Physics, ISSN 0034-6861, 05/2010, Volume 82, Issue 2, pp. 1349 - 1417

Dramatic progress has been made over the last decade in the numerical study of quantum chromodynamics (QCD) through the use of improved formulations of QCD on...

STRONG-COUPLING CALCULATIONS | MONTE-CARLO | DIRAC OPERATOR | MOLECULAR-DYNAMICS | DYNAMICAL SYMMETRY-BREAKING | PHYSICS, MULTIDISCIPLINARY | CONTINUUM-LIMIT | CHIRAL PERTURBATION-THEORY | KOGUT-SUSSKIND QUARKS | O(A) IMPROVEMENT | LATTICE GAUGE-THEORIES | Quarks | Research | Fermions | Analysis | Quantum chromodynamics | PARTICLE DECAY | NUMERICAL ANALYSIS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ALGORITHMS | SIMULATION | GAUGE INVARIANCE | NUCLEONS | EXTRAPOLATION | FLAVOR MODEL | QUANTUM CHROMODYNAMICS | SCATTERING LENGTHS | FORM FACTORS | MASS | QUARKS | PSEUDOSCALAR MESONS | CHIRALITY | SPECTRA

STRONG-COUPLING CALCULATIONS | MONTE-CARLO | DIRAC OPERATOR | MOLECULAR-DYNAMICS | DYNAMICAL SYMMETRY-BREAKING | PHYSICS, MULTIDISCIPLINARY | CONTINUUM-LIMIT | CHIRAL PERTURBATION-THEORY | KOGUT-SUSSKIND QUARKS | O(A) IMPROVEMENT | LATTICE GAUGE-THEORIES | Quarks | Research | Fermions | Analysis | Quantum chromodynamics | PARTICLE DECAY | NUMERICAL ANALYSIS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | ALGORITHMS | SIMULATION | GAUGE INVARIANCE | NUCLEONS | EXTRAPOLATION | FLAVOR MODEL | QUANTUM CHROMODYNAMICS | SCATTERING LENGTHS | FORM FACTORS | MASS | QUARKS | PSEUDOSCALAR MESONS | CHIRALITY | SPECTRA

Journal Article

Physics Letters B, ISSN 0370-2693, 12/2015, Volume 751, Issue C, pp. 559 - 564

We present the crossover line between the quark gluon plasma and the hadron gas phases for small real chemical potentials. First we determine the effect of...

LATTICE QCD | THERMODYNAMICS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | SPECTRUM | FINITE-TEMPERATURE | COMPLEX LANGEVIN | COLLISIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Quarks | High Energy Physics - Lattice | chiral [condensation] | susceptibility [quark] | Nuclear Theory | chiral [susceptibility] | flavor: 4 [quark] | plasma [quark gluon] | lattice field theory | finite temperature | curvature | Phenomenology | strangeness | High Energy Physics | continuum limit | Nuclear Experiment | heavy ion | gas [hadron] | staggered [quark] | numerical calculations | Nuclear and High Energy Physics | Physics | chemical [potential] | transition [temperature] | High Energy Physics - Phenomenology | lattice | critical phenomena [quantum chromodynamics]

LATTICE QCD | THERMODYNAMICS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | SPECTRUM | FINITE-TEMPERATURE | COMPLEX LANGEVIN | COLLISIONS | PHYSICS, PARTICLES & FIELDS | Analysis | Quarks | High Energy Physics - Lattice | chiral [condensation] | susceptibility [quark] | Nuclear Theory | chiral [susceptibility] | flavor: 4 [quark] | plasma [quark gluon] | lattice field theory | finite temperature | curvature | Phenomenology | strangeness | High Energy Physics | continuum limit | Nuclear Experiment | heavy ion | gas [hadron] | staggered [quark] | numerical calculations | Nuclear and High Energy Physics | Physics | chemical [potential] | transition [temperature] | High Energy Physics - Phenomenology | lattice | critical phenomena [quantum chromodynamics]

Journal Article

Communications on Pure and Applied Mathematics, ISSN 0010-3640, 03/2019, Volume 72, Issue 3, pp. 620 - 666

We study a two‐dimensional stochastic interface growth model that is believed to belong to the so‐called anisotropic KPZ (AKPZ) universality class [4,5]. It...

MATHEMATICS | MATHEMATICS, APPLIED | CONTINUUM-LIMIT

MATHEMATICS | MATHEMATICS, APPLIED | CONTINUUM-LIMIT

Journal Article

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2014, Volume 90, Issue 4, p. 042903

We present a family of exact solutions describing discrete solitary waves in a nonintegrable Fermi-Pasta-Ulam chain. The family is sufficiently rich to cover...

SOLITONS | PHYSICS, MATHEMATICAL | APPROXIMATIONS | PHYSICS, FLUIDS & PLASMAS | CONTINUUM-LIMIT | DISCRETE LATTICES | Models, Theoretical | Motion

SOLITONS | PHYSICS, MATHEMATICAL | APPROXIMATIONS | PHYSICS, FLUIDS & PLASMAS | CONTINUUM-LIMIT | DISCRETE LATTICES | Models, Theoretical | Motion

Journal Article

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, ISSN 1364-5021, 07/2019, Volume 475, Issue 2227, p. 20180838

Mechanical heterogeneity in biological tissues, in particular stiffness, can be used to distinguish between healthy and diseased states. However, it is often...

CANCER-CELLS | MIGRATION | INVASION | STIFFNESS | continuum-limit | multi-scale | cell-basedmodel | MULTIDISCIPLINARY SCIENCES | partial differential equation | SKIN | discrete model

CANCER-CELLS | MIGRATION | INVASION | STIFFNESS | continuum-limit | multi-scale | cell-basedmodel | MULTIDISCIPLINARY SCIENCES | partial differential equation | SKIN | discrete model

Journal Article

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, ISSN 0218-2025, 11/2019, Volume 29, Issue 12, pp. 2359 - 2376

We demonstrate the validity of Murray's law, which represents a scaling relation for branch conductivities in a transportation network, for discrete and...

MATHEMATICS, APPLIED | Murray's law | Biological transportation networks | PRINCIPLE | continuum limit | PDE SYSTEM

MATHEMATICS, APPLIED | Murray's law | Biological transportation networks | PRINCIPLE | continuum limit | PDE SYSTEM

Journal Article

Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 11/2017, Volume 114, Issue 46, pp. E9767 - E9774

The low-frequency vibrational and low-temperature thermal properties of amorphous solids are markedly different from those of crystalline solids. This...

Amorphous solids | Continuum limit | Soft localized modes | Non-Debye law | Phonons | ACOUSTIC EXCITATIONS | LOCALIZATION | MULTIDISCIPLINARY SCIENCES | VITREOUS SILICA | amorphous solids | non-Debye law | GLASSES | ELASTICITY | SOFT MODES | continuum limit | phonons | soft localized modes | SCATTERING | BREAKDOWN | Mechanical properties | Amorphous substances | Vibration | Observations | Physical Sciences | PNAS Plus

Amorphous solids | Continuum limit | Soft localized modes | Non-Debye law | Phonons | ACOUSTIC EXCITATIONS | LOCALIZATION | MULTIDISCIPLINARY SCIENCES | VITREOUS SILICA | amorphous solids | non-Debye law | GLASSES | ELASTICITY | SOFT MODES | continuum limit | phonons | soft localized modes | SCATTERING | BREAKDOWN | Mechanical properties | Amorphous substances | Vibration | Observations | Physical Sciences | PNAS Plus

Journal Article

SIAM Journal on Applied Mathematics, ISSN 0036-1399, 2018, Volume 78, Issue 2, pp. 921 - 941

Nondominated sorting, also called Pareto depth analysis (PDA), is widely used in multiobjective optimization and has recently found important applications in...

Continuum limits | Partial differential equations | Classification | Nondominated sorting | Pareto depth analysis | Streaming data | Upwind finite difference schemes | Anomaly detection | Longest chain problem | Viscosity solutions | MATHEMATICS, APPLIED | streaming data | CONTINUUM-LIMIT | anomaly detection | classification | HAMILTON-JACOBI EQUATION | longest chain problem | nondominated sorting | upwind finite difference schemes | partial differential equations | viscosity solutions | continuum limits

Continuum limits | Partial differential equations | Classification | Nondominated sorting | Pareto depth analysis | Streaming data | Upwind finite difference schemes | Anomaly detection | Longest chain problem | Viscosity solutions | MATHEMATICS, APPLIED | streaming data | CONTINUUM-LIMIT | anomaly detection | classification | HAMILTON-JACOBI EQUATION | longest chain problem | nondominated sorting | upwind finite difference schemes | partial differential equations | viscosity solutions | continuum limits

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2010, Volume 300, Issue 1, pp. 95 - 145

We study the stability of the equilibrium states and the rate of convergence of solutions towards them for the continuous kinetic version of the Cucker-Smale...

SYSTEM | TORUS | MOTION | BEHAVIOR | CONTINUUM-LIMIT | EQUILIBRIUM | BOLTZMANN-EQUATION | DYNAMICS | CONVERGENCE | PHYSICS, MATHEMATICAL | SELF-DRIVEN PARTICLES | Animal behavior | Analysis | Models

SYSTEM | TORUS | MOTION | BEHAVIOR | CONTINUUM-LIMIT | EQUILIBRIUM | BOLTZMANN-EQUATION | DYNAMICS | CONVERGENCE | PHYSICS, MATHEMATICAL | SELF-DRIVEN PARTICLES | Animal behavior | Analysis | Models

Journal Article

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, ISSN 0036-1410, 2019, Volume 51, Issue 5, pp. 3694 - 3713

We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill-Whitham-Richards model where the...

Lighthill-Whitham-Richards model | MATHEMATICS, APPLIED | WAVES | continuum limit | multilane traffic flow | FLOW | HIERARCHY

Lighthill-Whitham-Richards model | MATHEMATICS, APPLIED | WAVES | continuum limit | multilane traffic flow | FLOW | HIERARCHY

Journal Article

SIAM Journal on Mathematical Analysis, ISSN 0036-1410, 2010, Volume 42, Issue 1, pp. 218 - 236

In this paper, we analyze the asymptotic behavior of solutions of the continuous kinetic version of flocking by Cucker and Smale [IEEE Trans. Automat. Control,...

Mass transportation methods | Nonlinear friction equations | Flocking | MATHEMATICS, APPLIED | PARTICLE | mass transportation methods | BEHAVIOR | CONTINUUM-LIMIT | EQUATIONS | flocking | nonlinear friction equations | Studies | Nonlinear equations | Kinetics | Asymptotic methods | Velocity

Mass transportation methods | Nonlinear friction equations | Flocking | MATHEMATICS, APPLIED | PARTICLE | mass transportation methods | BEHAVIOR | CONTINUUM-LIMIT | EQUATIONS | flocking | nonlinear friction equations | Studies | Nonlinear equations | Kinetics | Asymptotic methods | Velocity

Journal Article

Networks and Heterogeneous Media, ISSN 1556-1801, 2018, Volume 13, Issue 1, pp. 95 - 118

The aim of this work is to provide further insight into the qualitative behavior of mechanical systems that are well described by Lennard-Jones type...

Variational fracture | Γ-convergence | Discrete-to-continuum limits | Cauchy-Born rule | Atomistic models | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | variational fracture | CONTINUUM LIMITS | DISCRETE | BEHAVIOR | atomistic models | Gamma-convergence

Variational fracture | Γ-convergence | Discrete-to-continuum limits | Cauchy-Born rule | Atomistic models | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | variational fracture | CONTINUUM LIMITS | DISCRETE | BEHAVIOR | atomistic models | Gamma-convergence

Journal Article

Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 02/2017, Volume 10, Issue 1, pp. 101 - 117

We study by Gamma-convergence the stochastic homogenization of discrete energies on a class of random lattices as the lattice spacing vanishes. We consider...

F-convergence | Discrete systems | Continuum limit | Stochastic homogenization | Calculus of variations | SUPERLINEAR GROWTH | MATHEMATICS, APPLIED | continuum limit | CONTINUUM LIMITS | discrete systems | Gamma-convergence | ENERGIES | stochastic homogenization

F-convergence | Discrete systems | Continuum limit | Stochastic homogenization | Calculus of variations | SUPERLINEAR GROWTH | MATHEMATICS, APPLIED | continuum limit | CONTINUUM LIMITS | discrete systems | Gamma-convergence | ENERGIES | stochastic homogenization

Journal Article

No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.