Hohenberg-mermin-wagner-type theorems for equilibrium models of flocking

H Tasaki - Physical Review Letters, 2020 - APS
We study a class of two-dimensional models of classical hard-core particles with Vicsek type
“exchange interaction” that aligns the directions of motion of nearby particles. By extending …

Velocity and speed correlations in Hamiltonian flocks

M Casiulis, M Tarzia, LF Cugliandolo, O Dauchot - Physical Review Letters, 2020 - APS
We study a 2D Hamiltonian fluid made of particles carrying spins coupled to their velocities.
At low temperatures and intermediate densities, this conservative system exhibits phase …

Thermostatting of active Hamiltonian systems via symplectic algorithms

A Bhattacharya, J Horbach, S Karmakar - Physical Review E, 2025 - APS
We consider a class of nonstandard, two-dimensional Hamiltonian models that may show
features of active particle dynamics, and therefore, we refer to these models as active …

Origin of long-range order in a two-dimensional nonequilibrium system under laminar flows

Y Minami, H Nakano - arXiv preprint arXiv:2212.06390, 2022 - arxiv.org
We study long-range order in two dimensions where an order parameter is advected by
linear laminar flows. The linear laminar flows include three classes: rotational, shear, and …

[HTML][HTML] The BKT transition and its dynamics in a spin fluid

T Bissinger, M Fuchs - The Journal of Chemical Physics, 2023 - pubs.aip.org
We study the effect of particle mobility on phase transitions in a spin fluid in two dimensions.
The presence of a phase transition of the BKT universality class is shown in an off-lattice …

The Berezinskii-Kosterlitz-Thouless Transition in a Mobile XY Model

T Bissinger - 2023 - kops.uni-konstanz.de
The past years saw a rising interest in classical magnets with two-dimensional unit spins
moving in two spatial dimensions. That interest is partially due to the fact that such mobile …

Study of a non-Galilean Hamiltonian liquid: collective motion without activity

M Casiulis - 2019 - theses.hal.science
Collective motion, the spontaneous ordering of the velocities across a macroscopic system,
is a hallmark of living systems like flocks of birds. It is captured by models of self-propelled …