44 citations · 169 across the 17 of their papers we have counts for
16 papers
Quasi-potential and drift decomposition in stochastic systems by sparse identification
Leonardo Grigorio, Mnerh Alqahtani
The quasi-potential is a key concept in stochastic systems as it accounts for the long-term behavior of the dynamics of such systems. It also allows us to estimate mean exit times…
Extreme events and instantons in Lagrangian passive scalar turbulence models
Mnerh Alqahtani, Leonardo Grigorio, Tobias Grafke
The advection and mixing of a scalar quantity by fluid flow is an important problem in engineering and natural sciences. If the fluid is turbulent, the statistics of the passive sc…
Parametric Hamilton's equations for Lagrangian model for passive scalar gradients
L. S. Grigorio
In the context of instanton method for stochastic system this paper purposes a modification of the arclength parametrization of the Hamilton's equations allowing for an arbitrary i…
Instantons in a Lagrangian model of turbulence
Leonardo S. Grigorio, Freddy Bouchet, Rodrigo M. Pereira +1
The role of instantons is investigated in the Lagrangian model for the velocity gradient evolution known as the Recent Fluid Deformation approximation. After recasting the model in…
Velocity-Gradient Probability Distribution Functions in a Lagrangian Model of Turbulence
L. Moriconi, R. M. Pereira, L. S. Grigorio
The Recent Fluid Deformation Closure (RFDC) model of lagrangian turbulence is recast in path-integral language within the framework of the Martin-Siggia-Rose functional formalism.…
The Chern-Simons term in a dual Josephson junction
L. S. Grigorio, M. S. Guimaraes, R. Rougemont +2
A dual Josephson junction corresponding to a (2+1)-dimensional non-superconducting layer sandwiched between two (3+1)-dimensional dual superconducting regions constitutes a model o…