Coulomb gases and Ginzburg-Landau vortices
From MaRDI portal
Publication:2017879
DOI10.4171/152zbMath1335.82002arXiv1403.6860OpenAlexW1738603105MaRDI QIDQ2017879
Publication date: 23 March 2015
Published in: Zurich Lectures in Advanced Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.6860
asymptotic expansionHamiltonianvorticesboundssuperconductivityGinzburg-Landau modelrenormalized energyCoulomb gases
Classical equilibrium statistical mechanics (general) (82B05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Statistical mechanics of superconductors (82D55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics (82B21) Ginzburg-Landau equations (35Q56) PDEs in connection with statistical mechanics (35Q82)
Related Items (60)
Generic regularity of free boundaries for the obstacle problem ⋮ Systems of points with Coulomb interactions ⋮ Quantitative stability of the free boundary in the obstacle problem ⋮ Phase transitions in the one-dimensional Coulomb gas ensembles ⋮ Large deviations in the quantum quasi-1D jellium ⋮ Concentration for Coulomb gases and Coulomb transport inequalities ⋮ Hyperuniform states of matter ⋮ A branched transport limit of the Ginzburg-Landau functional ⋮ Anticipation breeds alignment ⋮ On large deviations for Gibbs measures, mean energy and gamma-convergence ⋮ Large deviation principles for hypersingular Riesz gases ⋮ Local microscopic behavior for 2D Coulomb gases ⋮ Large deviations for configurations generated by Gibbs distributions with energy functionals consisting of singular interaction and weakly confining potentials ⋮ A nonlocal free boundary problem with Wasserstein distance ⋮ Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation ⋮ Large deviation principle for empirical fields of log and Riesz gases ⋮ Stability of the Laughlin phase against long-range interactions ⋮ Local uniqueness of the magnetic Ginzburg-Landau equation ⋮ Gaussian fluctuations and free energy expansion for Coulomb gases at any temperature ⋮ Law of large numbers for the maximum of the two-dimensional Coulomb gas potential ⋮ Log-Coulomb gases in the projective line of a \(p\)-field ⋮ The Dyson and Coulomb games ⋮ Macroscopic and edge behavior of a planar jellium ⋮ Crystallization for Coulomb and Riesz interactions as a consequence of the Cohn-Kumar conjecture ⋮ Equidistribution of jellium energy for Coulomb and Riesz interactions ⋮ Analysis of the viscosity of dilute suspensions beyond Einstein's formula ⋮ Propagation of Chaos for a Class of First Order Models with Singular Mean Field Interactions ⋮ Remarks on a constrained optimization problem for the Ginibre ensemble ⋮ Local incompressibility estimates for the Laughlin phase ⋮ Simulating Coulomb and log-gases with hybrid Monte Carlo algorithms ⋮ Local laws and rigidity for Coulomb gases at any temperature ⋮ Introduction ⋮ Large deviations for the two-dimensional two-component plasma ⋮ Fluctuations of two dimensional Coulomb gases ⋮ Low temperature asymptotics of spherical mean field spin glasses ⋮ NEXT ORDER ASYMPTOTICS AND RENORMALIZED ENERGY FOR RIESZ INTERACTIONS ⋮ Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler-Einstein metrics ⋮ Ginzburg-Landau vortices, Coulomb gases, and renormalized energies ⋮ Fast sampling from \(\beta \)-ensembles ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Obstacle problems for integro-differential operators: higher regularity of free boundaries ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ From Boltzmann to random matrices and beyond ⋮ On the diffusive-mean field limit for weakly interacting diffusions exhibiting phase transitions ⋮ On the Morse index of branched Willmore spheres in 3-space ⋮ Passing from Discrete to Continuum Models of Electrostatic Energy ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry ⋮ The fractional obstacle problem with drift: higher regularity of free boundaries ⋮ Derivation of the Batchelor-Green formula for random suspensions ⋮ Non-Archimedean Coulomb gases ⋮ On the Laughlin function and its perturbations ⋮ Coulomb Gases Under Constraint: Some Theoretical and Numerical Results ⋮ Discrepancy of minimal Riesz energy points ⋮ log-Coulomb gas with norm-density in \(p\)-fields ⋮ Infinitely many multi-vortex solutions of the magnetic Ginzburg–Landau equation with external potentials in R2 ⋮ Rigidity of the three-dimensional hierarchical Coulomb gas ⋮ Concentration inequality around the thermal equilibrium measure of Coulomb gases ⋮ Harmonically confined long-ranged interacting gas in the presence of a hard wall ⋮ Thermal approximation of the equilibrium measure and obstacle problem ⋮ 2D Coulomb gases and the renormalized energy
This page was built for publication: Coulomb gases and Ginzburg-Landau vortices
