Universality of the weak pushed-to-pulled transition in systems with repulsive interactions

DOI10.1088/1751-8121/aad147zbMath1403.80009arXiv1711.09141OpenAlexW2769971028WikidataQ59473087 ScholiaQ59473087MaRDI QIDQ4689506

Paolo Facchi, Fabio Deelan Cunden, Pierpaolo Vivo, Marilena Ligabò

Publication date: 16 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09141

zbMATH Keywords

potential theoryrandom matriceslarge deviation theoryclassical phase transitions

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Stefan problems, phase changes, etc. (80A22) Large deviations (60F10) Random matrices (algebraic aspects) (15B52) Electro- and magnetostatics (78A30)

Related Items (7)

Phase diagram of bipartite entanglement ⋮ Edge fluctuations and third-order phase transition in harmonically confined long-range systems ⋮ Extreme value statistics of correlated random variables: a pedagogical review ⋮ Third-order phase transition: random matrices and screened Coulomb gas with hard walls ⋮ Harmonically confined long-ranged interacting gas in the presence of a hard wall ⋮ Complex (super)-matrix models with external sources and q-ensembles of Chern–Simons and ABJ(M) type ⋮ Truncated linear statistics in the one dimensional one-component plasma

Cites Work

• First-order global asymptotics for confined particles with singular pair repulsion
• Large deviations of radial statistics in the two-dimensional one-component plasma
• Non-intersecting Brownian walkers and Yang-Mills theory on the sphere
• A note on the second order universality at the edge of Coulomb gases on the plane
• The longest increasing subsequence in a random permutation and a unitary random matrix model
• A note on the eigenvalue density of random matrices
• Level-spacing distributions and the Airy kernel
• Truncated linear statistics associated with the top eigenvalues of random matrices
• Thermodynamics of the six-vertex model in an L-shaped domain
• On the Douglas-Kazakov phase transition
• A Primer of Swarm Equilibria
• Phase Transitions of Bipartite Entanglement
• Large Deviations of Extreme Eigenvalues of Random Matrices
• A shortcut through the Coulomb gas method for spectral linear statistics on random matrices
• Purity distribution for generalized random Bures mixed states
• Large deviations of the maximal eigenvalue of random matrices
• A simple derivation of the Tracy–Widom distribution of the maximal eigenvalue of a Gaussian unitary random matrix
• Top eigenvalue of a random matrix: large deviations and third order phase transition
• Large deviations of spread measures for Gaussian matrices
• Universality of the third-order phase transition in the constrained Coulomb gas
• A limit theorem at the edge of a non-Hermitian random matrix ensemble
• Extremes of 2d Coulomb gas: universal intermediate deviation regime
• On the extreme value statistics of normal random matrices and 2D Coulomb gases: Universality and finiteNcorrections
• Statistical Ensembles of Complex, Quaternion, and Real Matrices
• Index distribution of the Ginibre ensemble
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