LABORATOIRE DE PHYSIQUE THEORIQUE DE LA MATIERE CONDENSEE

 

 

Attention : désormais les séminaires ont lieu tous les lundis à 10h45 en salle  523 du LPTMC - Tour 12-13 


 

Séminaire commun avec le LPTHE. Lieu: BIBLIOTHEQUE DU LPTHE (13-14, 4ème étage)

Convergence of Non-Perturbative Approximations to the Renormalization Group

Nicolás Wschebor (Universidad de la República, Montevideo, Uruguay)

We provide analytical arguments showing that a non-perturbative approximation scheme known as the derivative expansion is controlled by a small parameter for very generic model at thermodynanical equilibrium. This approximation must be implemented within the Non-Perturbative Renormalisation Group (a modern version of Wilson's renormalisation group) with a regulator profile properly chosen. We employ the Ising model in three dimensions as a testing ground of the general analysis. In this case the derivative expansion has been recently pushed at order fourth order. We find fast convergence of critical exponents to their exact values, in full agreement with our general arguments. We also analyze preliminary results by employing the same techniques for O(N) models.

De la recherche sur le climat aux pratiques de la recherche pour le climat

Juliette Mignot (IPSL-LOCEAN Jussieu )

Le changement climatique est un sujet de recherche en soit, et nous en évoquerons les bases scientifiques. C'est aussi devenu une réalité sociétale et un enjeu pour notre futur. Comment les climatologues se positionnent-ils par rapport à cette évolution de leur objet scientifique? Plus généralement, quelle réflexion peuvent avoir les scientifiques par rapport à leurs pratiques de recherche. Des initiatives émergent dans toute la France et dans tous les domaines. Quelles sont-elles, comment s'organisent elles, où vont-elles?

 

Persistent correlations in colloidal suspension

Thomas Franosch (Univ. Innsbruck)

Transport properties  of a hard-sphere colloidal fluid are investigated by Brownian dynamics simulations. We implement a novel algorithm for the time-dependent velocity-autocorrelation function (VACF) essentially eliminating the noise of the bare random motion. The measured VACF reveals  persistent  anti-correlations manifested by a negative algebraic power-law tail $t^{-5/2}$ at all densities. At small packing fractions the simulations fully agree with the analytic low-density prediction, yet  the amplitude of the tail becomes dramatically suppressed as the  packing fraction is increased. The mode-coupling theory of the glass transition provides a qualitative explanation for the strong variation   in terms of the static compressibility as well as the  slowing down of the structural relaxation.

In the second part of the presentation, I will discuss a microrheological set-up where a single probe particle is immersed in a complex fluid and exposed to a strong external force driving the system out of equilibrium. The time-dependent response of a probe particlein a dilute suspension of Brownian particles to a large step-force is derived analytically, exact in first order of the density of the bath particles. The time-dependent drift velocity approaches its stationary state value exponentially fast for arbitrarily small driving in striking contrast to the power-law prediction of linear response encoded in the long-time tails of the velocity autocorrelation function. We show that the stationary-state behavior depends nonanalytically on the driving force and connect this behavior to the persistent correlations in the equilibrium state.

A tale of Pfaffian persistence tails told by a Painlevé VI transcendent

 

Ivan Dornic (SPEC CEA Saclay)

 

We identify the persistence probability for the zero-temperature non-equilibrium Glauber dynamics of the half-space Ising chain as a particular Painlevé VI transcendent, with monodromy exponents (1/2,1/2,0,0). Among other things, this characterization a la Tracy-Widom permits to relate our specific Bonnet-Painlevé VI to the one found by Jimbo & Miwa and characterizing the lattice diagonal correlation functions at all temperatures for the planar static Ising model. In particular, in terms of the standard critical exponents eta=1/4 and beta=1/8 for the latter, this implies that the probability that the limiting Gaussian real Kac's polynomial has no real root decays with an exponent 4(eta+beta)=3/4.

Pressure and forces in active matter

Alexandre Solon (LPTMC)

Active matter, composed of self-propelling entities, is found across scales in nature, from cellular tissues to animal groups. Such systems, as well as engineered active materials, exhibit many types of collective behaviors and unusual mechanical properties. In this talk, I will focus on different aspects of the interactions between active fluids and boundaries or passive objects, and show that they lead to intriguing effects, specific to active systems. In particular, I will discuss the absence of equation of state for the pressure of active fluids, the instability of a filament in an active bath, long-range interactions mediated by an active fluid and the localization of active particles in a random potential.