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7 papers · 2 filters
Frustration -- Exactly Solved Frustrated Models
H. T. Diep, H. Giacomini
After a short introduction on frustrated spin systems, we study in this chapter several two-dimensional frustrated Ising spin systems which can be exactly solved by using vertex mo…
The convex hull of the run-and-tumble particle in a plane
Alexander K Hartmann, Satya N Majumdar, Hendrik Schawe +1
We study the statistical properties of the convex hull of a planar run-and-tumble particle (RTP), also known as the "persistent random walk", where the particle/walker runs ballist…
Entanglement front generated by an impurity travelling in an isolated many-body quantum system
Andrea De Luca, Alvise Bastianello
We investigate the effect on the entanglement dynamics of an impurity moving at constant velocity in a closed quantum system. We focus on one-dimensional strongly-correlated lattic…
Asymptotic behavior of the length of the longest increasing subsequences of random walks
J. Ricardo G. Mendonça, Hendrik Schawe, Alexander K. Hartmann
We numerically estimate the leading asymptotic behavior of the length of the longest increasing subsequence of random walks with step increments following Student's -dis…
Spectral statistics and many-body quantum chaos with conserved charge
Aaron J. Friedman, Amos Chan, Andrea De Luca +1
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a conserved charge. We compute the spectral form factor analytically for a m…
A particle-field representation unifies paradigms in active matter
Robert Großmann, Igor S. Aranson, Fernando Peruani
Active matter research focuses on the emergent behavior among interacting self-propelled particles. Unification of seemingly disconnected paradigms -- active phase-separation of re…