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Journal Article
Journal of Statistical Physics, ISSN 0022-4715, 2/2000, Volume 98, Issue 3, pp. 667 - 684
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 01/2015, Volume 48, Issue 3, pp. 35001 - 12
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 10/2004, Volume 356, Issue 10, pp. 3899 - 3937
We study the Ginzburg-Landau system for a superconductor occupying a 3-dimensional bounded domain, and improve the estimate of the upper critical field H_{C_{3}} obtained by K. Lu and X. Pan in J. Diff. Eqns., {\bf 168} (2000), 386-452... 
Nucleation | Superconductivity | Vector fields | Eigenvalues | Eigenfunctions | Coordinate systems | Mathematics | Mathematical surfaces | Magnetic fields | Unit vectors | Schrödinger operator with a magnetic field | Upper critical field | Ginzburg-Landau system | Schrodinger operator with a magnetic field | superconductivity | EIGENVALUE PROBLEMS | DECREASING FIELDS | NEUMANN PROBLEM | MAGNETIC BOTTLES | MATHEMATICS | nucleation | UPPER CRITICAL-FIELD | GINZBURG-LANDAU MODEL | BOUNDED DOMAINS | upper critical field | OPERATORS | ONSET
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2014, Volume 90, Issue 4, p. 042111
Although the fully connected Ising model does not have a length scale, we show that the critical exponents for thermodynamic quantities such as the mean magnetization and the susceptibility... 
INFINITELY COORDINATED SYSTEMS | NUCLEATION | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | UPPER CRITICAL DIMENSION | Physics - Statistical Mechanics
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 02/2011, Volume 83, Issue 2, p. 020103
Extensive kinetic Monte Carlo simulations are presented for ballistic deposition (BD) in (1 + 1) dimensions... 
EXPONENTS | PHYSICS, MATHEMATICAL | PHYSICS, FLUIDS & PLASMAS | UPPER CRITICAL DIMENSION | GROWTH
Journal Article
The Annals of probability, ISSN 0091-1798, 2017, Volume 45, Issue 1, pp. 278 - 376
Journal Article
Asymptotic Analysis, ISSN 0921-7134, 2011, Volume 72, Issue 1-2, pp. 77 - 123
In this paper we give a detailed asymptotic formula for the lowest eigenvalue of the magnetic Neumann Schrodinger operator in the ball in three dimensions with constant magnetic field, as the strength... 
Ginzburg-Landau functional | eigenvalue asymptotics | large magnetic field | unit ball | surface superconductivity | MATHEMATICS, APPLIED | SUPERCONDUCTIVITY | MAGNETIC-FIELDS | GENERAL DOMAINS | DECREASING FIELDS | SURFACE NUCLEATION | MODEL | UPPER CRITICAL-FIELD | ONSET | SCHRODINGER-OPERATORS
Journal Article
Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 03/2018, Volume 2018, Issue 3, p. 33208
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 03/2019, Volume 390, pp. 1 - 8
Extensive Monte Carlo simulations are carried out in one, two and three dimensions for dynamic local load-sharing fiber bundle models following a power-law breaking rule with exponent ρ... 
Time-dependent failure | Failure of disordered materials | Monte Carlo simulations | Upper critical dimension | Local load-sharing | Fiber-bundle models | Monte Carlo method | Analysis | Models
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 12/2012, Volume 391, Issue 23, pp. 5908 - 5917
Starting from correlation identities for the Blume–Capel spin 1 systems and using correlation inequalities, we obtain rigorous upper bounds for the critical temperature... 
Critical temperature upper bounds | Correlation equalities | Blume–Capel model | Blume-Capel model | RENORMALIZATION-GROUP | ISING FERROMAGNETS | PHYSICS, MULTIDISCIPLINARY | CRITICAL-BEHAVIOR | CORRELATION INEQUALITIES | DIAGRAM | 2 DIMENSIONS | Correlation | Critical temperature | Statistical mechanics | Upper bounds | Inequalities | Physics - Statistical Mechanics
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2016, Volume 49, Issue 50, p. 505001
.... In addition, the effect of spatial dimensions on the PDF tail scaling is discussed. This gives a novel approach to understand the rightmost PDF tail of the interface width... 
non-linear system | PDF | KPZ | instanton | DRIVEN INTERFACES | PHYSICS, MULTIDISCIPLINARY | UPPER CRITICAL DIMENSION | DEPOSITION | INSTANTONS | DIRECTED POLYMERS | PHYSICS, MATHEMATICAL | WIDTH DISTRIBUTION | GROWTH | BURGERS-EQUATION | Fysik | Physical Sciences | Naturvetenskap | Other Physics Topics | Annan fysik | Natural Sciences
Journal Article
Combinatorics, probability & computing, ISSN 0963-5483, 11/2019, Volume 28, Issue 6, pp. 936 - 960
.... When the elements of A are chosen independently with some probability p, it is natural to study the critical probability pc(G, r... 
Paper | MATHEMATICS | STATISTICS & PROBABILITY | COMPUTER SCIENCE, THEORY & METHODS | MODELS | SHARP METASTABILITY THRESHOLD | Percolation | Graph theory | Apexes | Upper bounds
Journal Article
PHYSICA D-NONLINEAR PHENOMENA, ISSN 0167-2789, 03/2019, Volume 390, pp. 1 - 8
Extensive Monte Carlo simulations are carried out in one, two and three dimensions for dynamic local load-sharing fiber bundle models following a power-law breaking rule with exponent rho... 
Time-dependent failure | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | BEHAVIOR | PROBABILITY MODEL | STRENGTH | COMPOSITE-MATERIALS | PHYSICS, MATHEMATICAL | Local load-sharing | Fiber-bundle models | DISTRIBUTIONS | FIBROUS MATERIALS | Monte Carlo simulations | STATISTICAL-THEORY | Upper critical dimension | FATIGUE FAILURE | BOUNDS | Failure of disordered materials
Journal Article
Acta Physica Polonica A, ISSN 0587-4246, 06/2016, Volume 129, Issue 6, pp. 1100 - 1104
The five-dimensional ferromagnetic Ising model is simulated on the Creutz cellular automaton algorithm using finite-size lattices with linear dimension 4 <= L <= 8... 
HEAT | EXTERNAL MAGNETIC-FIELD | EXPONENTS | NUMBER | PHYSICS, MULTIDISCIPLINARY | CREUTZ CELLULAR-AUTOMATON | UPPER CRITICAL DIMENSION | BINDER PARAMETER | ALGORITHM | CRITICAL-BEHAVIOR | SIMULATION
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 12/2014, Volume 889, Issue C, pp. 249 - 260
There has been a long running debate on the finite size scaling for the Ising model with free boundary conditions above the upper critical dimension, where the standard picture gives an L2 scaling... 
TORUS | UPPER CRITICAL DIMENSION | PHASE-TRANSITIONS | ERASED RANDOM-WALK | SPANNING TREE | RANDOM GRAPH | PHYSICS, PARTICLES & FIELDS | Nuclear and particle physics. Atomic energy. Radioactivity | Condensed Matter - Statistical Mechanics | Annan fysik | High Energy Physics - Lattice | Other Physics Topics | Nuclear and High Energy Physics
Journal Article
International Journal of Modern Physics C, ISSN 0129-1831, 10/1998, Volume 9, Issue 7, pp. 1073 - 1105
We present a perturbative calculation of finite-size effects near Tc of the φ4 lattice model in a d-dimensional cubic geometry of size L with periodic boundary... 
Five-Dimensional Ising Model | Theory | Finite-Size Effects | Upper Critical Dimension
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 2004, Volume 334, Issue 3, pp. 307 - 311
The number of spanning clusters in four to nine dimensions does not fully follow the expected size dependence for random percolation. 
Spanning cluster multiplicity | Upper critical dimension | spanning cluster multiplicity | ISING-MODEL | upper critical dimension | PHYSICS, MULTIDISCIPLINARY | Physics - Statistical Mechanics
Journal Article
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