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