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cond-mat.stat-mech2026
Critical Scaling of Finite-Size Fluctuations around Marginal Stability in Long-Range Hamiltonian Systems
Yoshiyuki Y. Yamaguchi, Julien Barré
Finite size fluctuations are a crucial ingredient in kinetic theory of long-range interacting collisionless systems. In this Letter, we introduce a phenomenological theory which pr…
cond-mat.stat-mech2015★ 8 cited
Trapping scaling for bifurcations in Vlasov systems
J. Barré, D. Métivier, Y. Y. Yamaguchi
We study non oscillating bifurcations of non homogeneous steady states of the Vlasov equation, a situation occurring in galactic models, or for Bernstein-Greene-Kruskal modes in pl…
cond-mat.stat-mech2004★ 272 cited
Stability criteria of the Vlasov equation and quasi-stationary states of the HMF model
Y. Y. Yamaguchi, J. Barr'e, F. Bouchet +2
We perform a detailed study of the relaxation towards equilibrium in the Hamiltonian Mean-Field (HMF) model, a prototype for long-range interactions in -particle dynamics. In pa…