Response theory and phase transitions for the thermodynamic limit of interacting identical systems

V Lucarini, GA Pavliotis, N Zagli - Proceedings of the …, 2020 - royalsocietypublishing.org
We study the response to perturbations in the thermodynamic limit of a network of coupled
identical agents undergoing a stochastic evolution which, in general, describes non …

From the nonlinear fokker-planck equation to the vlasov description and back: Confined interacting particles with drag

AR Plastino, EMF Curado, FD Nobre, C Tsallis - Physical Review E, 2018 - APS
Nonlinear Fokker-Planck equations endowed with power-law diffusion terms have proven to
be valuable tools for the study of diverse complex systems in physics, biology, and other …

Balancing long-range interactions and quantum pressure: Solitons in the Hamiltonian mean-field model

R Plestid, DHJ O'Dell - Physical Review E, 2019 - APS
The Hamiltonian mean-field (HMF) model describes particles on a ring interacting via a
cosine interaction, or equivalently, rotors coupled by infinite-range XY interactions …

Passive viscoelastic response of striated muscles

F Staniscia, L Truskinovsky - Soft Matter, 2022 - pubs.rsc.org
Muscle cells with sarcomeric structure exhibit highly non trivial passive mechanical
response. The difficulty of its continuum modeling is due to the presence of long-range …

Linear and nonlinear response of the Vlasov system with nonintegrable Hamiltonian

S Ogawa - Physical Review E, 2017 - APS
Linear and nonlinear response formulas taking into account all Casimir invariants are
derived without use of angle-action variables of a single-particle (mean-field) Hamiltonian …

Stability criterion of spatially inhomogeneous solutions to the Vlasov equation

S Ogawa - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
Stability of spatially inhomogeneous stationary solutions to the Vlasov equation for multi-
dimensional systems is investigated. The formal stability criterion taking into account all of …