We consider the current operators of one dimensional integrable models. These describe flow conserved charges models, and they play a central role in Generalized Hydrodynamics. present key statements about mean currents finite volume thermodynamic limit, we review various proofs exact formulas. also few new results this review. New contributions include computation Heisenberg spin chains using ...

We consider the quark–anti-quark potential on the three sphere or the generalized cusp anomalous dimension in planar N = 4 SYM. We concentrate on the vacuum potential in the near BPS limit with L units of R-charge. Equivalently, we study the anomalous dimension of a super-Wilson loop with L local fields inserted at a cusp. The system is described by a recently proposed infinite set of non-linea...

Abstract In Bayesian inference, we are usually interested in the numerical approximation of integrals that posterior expectations or marginal likelihoods (a.k.a., evidence). this paper, focus on computation expectation a function $$f(\textbf{x})$$ f ( x ) </mm...

Knowledge of lattice anharmonicity is essential to elucidate distinctive thermal properties in crystalline solids. Yet, accurate \textit{ab initio} investigations encounter difficulties owing the cumbersome computations. Here we introduce phonon quasiparticle approach and review its application various materials. This method efficiently reliably addresses by combining molecular dynamics calcula...

We performed Bayesian model comparison on mass spectra from CH 4 rf process plasmas to detect radicals produced in the plasma. The key ingredient for its implementation is the highdimensional evidence integral. We apply Gauss approximation to evaluate the evidence. The results were compared with those calculated by the thermodynamic integration method using Markov Chain Monte Carlo technique. I...

This manuscript present my research activities in the field of statistical mechanics ofdisordered systems, in particular mean-field models with finite connectivity. These modelsexhibit several phase transitions in the thermodynamic limit, with applications both for thephysics of glasses and for their links with optimization problems from theoretical computerscience. Their behavi...

We derive, using the entropy maximum principle, an expression for the distribution function of carriers as a function of a set of macroscopic quantities ~density, velocity, energy, deviatoric stress, heat flux!. Given the distribution function, we can obtain a hydrodynamic model in which all the constitutive functions ~fluxes and collisional productions! are explicitly computed starting from th...

We present a novel quantum Monte Carlo method based on a path integral in Fock space, which allows the computation of finite-temperature properties of a many-body nuclear system with a monopole pairing interaction in the canonical ensemble. It enables an exact calculation of the thermodynamic variables such as the internal energy, the entropy, or the specific heat, from the measured moments of ...