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- Pierre de Buyl, David Mukamel, Stefano Ruffo
- Physical review. E, Statistical, nonlinear, and…
- 2011

Long-lived quasistationary states, associated with stationary stable solutions of the Vlasov equation, are found in systems with long-range interactions. Studies of the relaxation time in a model of N globally coupled particles moving on a ring, the Hamiltonian mean-field model (HMF), have shown that it diverges as N(γ) for large N, with γ1.7 for some… (More)

- Pierre de Buyl, David Mukamel, Stefano Ruffo
- Philosophical transactions. Series A…
- 2011

We introduce a model of uncoupled pendula, which mimics the dynamical behaviour of the Hamiltonian mean-field (HMF) model. This model has become a paradigm for long-range interactions, such as Coulomb or dipolar forces. As in the HMF model, this simplified integrable model is found to obey the Vlasov equation and to exhibit quasi-stationary states (QSSs),… (More)

- Pierre de Buyl, Raymond Kapral
- Nanoscale
- 2013

The fabrication of synthetic self-propelled particles and the experimental investigations of their dynamics have stimulated interest in self-generated phoretic effects that propel nano- and micron-scale objects. Theoretical modeling of these phenomena is often based on a continuum description of the solvent for different phoretic propulsion mechanisms,… (More)

- Pierre de Buyl, Erik Nies
- The Journal of chemical physics
- 2015

Classical Molecular Dynamics (MD) simulations provide insight into the properties of many soft-matter systems. In some situations, it is interesting to model the creation of chemical bonds, a process that is not part of the MD framework. In this context, we propose a parallel algorithm for step- and chain-growth polymerization that is based on a generic… (More)

- Gabriele Martelloni, Gianluca Martelloni, Pierre de Buyl, Duccio Fanelli
- Physical review. E
- 2016

Systems with long-range interactions display a short-time relaxation towards quasistationary states (QSSs) whose lifetime increases with the system size. In the paradigmatic Hamiltonian mean-field model (HMF) out-of-equilibrium phase transitions are predicted and numerically detected which separate homogeneous (zero magnetization) and inhomogeneous (nonzero… (More)

- Pierre de Buyl, Giovanni De Ninno, +4 authors Yoshiyuki Y Yamaguchi
- Physical review. E, Statistical, nonlinear, and…
- 2013

We investigate the dynamics of a small long-range interacting system, in contact with a large long-range thermal bath. Our analysis reveals the existence of striking anomalies in the energy flux between the bath and the system. In particular, we find that the evolution of the system is not influenced by the kinetic temperature of the bath, as opposed to… (More)

- Laurens Deprez, Pierre de Buyl
- Soft matter
- 2017

Chemotaxis is the response of a particle to a gradient in the chemical composition of the environment. While it was originally observed for biological organisms, it is of great interest in the context of synthetic active particles such as nanomotors. Experimental demonstration of chemotaxis for chemically-powered colloidal nanomotors was reported in the… (More)

- Pierre de Buyl, Pierre Gaspard
- Physical review. E, Statistical, nonlinear, and…
- 2011

Relaxation processes in collisionless dynamics lead to peculiar behavior in systems with long-range interactions such as self-gravitating systems, non-neutral plasmas, and wave-particle systems. These systems, adequately described by the Vlasov equation, present quasistationary states (QSS), i.e., long lasting intermediate stages of the dynamics that occur… (More)

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