Séminaire du LPTMS: Nicola Bartolo & Mathieu Hemery


11:00 - 12:00

LPTMS, salle 201, 2ème étage, Bât 100, Campus d'Orsay
15 Rue Georges Clemenceau, Orsay, 91405
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Exact results for non-equilibrium phase transitions

Nicola Bartolo (Laboratoire Matériaux et Phénomènes Quantiques, Université Paris Diderot et CNRS)

In out-of-equilibrium systems, the competition between Hamiltonian evolution and dissipation can result in dissipative phase transitions. We investigate this kind of phenomena in the steady state of a general class of driven-dissipative systems, consisting of a nonlinear Kerr resonator in the presence of both coherent (one-photon) and parametric (two-photon) driving and dissipation.
We analytically derive the exact steady-state solution via the formalism of the complex P-representation. The exact solution applies to any photon density regime, allowing to investigate the thermodynamic limit of large photon densities. In this regime, we point out and characterise the emergence of dissipative phase transitions of both first and second order.

φ-evo: from function to network

Mathieu Hemery (McGill University, Montréal, Canada)

Molecular networks are at the core of most cellular decisions, but there architecture is often intricate and difficult to grasp. Starting from the putative function of a network and using an evolutionnary algorithm (EA) to explore the possible architectures seems however to gives good predictions. After a brief introduction to EA and regulatory network, I will present my own work with \phievo: the lac-operon that show its validity and a logarithmic network that highlight its possibilities.

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