Exact diagonalization, matrix product states and conformal perturbation theory study of a 3D Ising fuzzy sphere model

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A search for nonresonant new physics phenomena in high-mass dilepton events produced in association with b-tagged jets is performed using proton-proton collision data collected in 2016–2018 by the CMS experiment at the CERN LHC, at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 138 fb−1. The analysis considers two effective field theory models with dimension-six operators; involving four-fermion contact interactions between two leptons (ℓℓ, electrons or muons) and b or s quar

We revisit the lore establishing the allowed space of field redefinitions and show that there are essentially no restrictions. Our conclusions hold to all orders in perturbation theory and for any dispersion relation. Field redefinitions can be nonlocal, symmetry breaking, or in certain cases have explicit dependence on spacetime. We address field redefinitions that can be resummed into the propagator, which demonstrates how to perform perturbative calculations away from the minimum in field space. Field re

Coupled 1D-3D Computational Fluid Dynamics (CFD) co-simulation is an emerging technique that enables the integration of upstream or downstream components into CFD domains with minimal computational cost by using 1D modeling. Dynamic data exchange at the 1D-3D interface enables time-varying boundary conditions, essential for resolving complex hydraulic phenomena. This work presents 1D-3D CFD co-simulations of full-load instability in a prototype Francis turbine, coupling ANSYS CFX and SIMSEN through the Func

We study PBW bases of the untwisted quantum loop group Uq(L𝔤) (in the Drinfeld new presentation) using the combinatorics of loop words, by generalizing the treatment of [29,30,43] in the finite type case. As an application, we prove that Enriquez' homomorphism [11] from the positive half of the quantum loop group to the trigonometric degeneration of Feigin-Odesskii's elliptic algebra [15] associated to 𝔤 is an isomorphism.

We consider radially symmetric, energy critical wave maps from (1 + 2)-dimensional Minkowski space into the unit sphere

\mathbf{S}^m

, m≥1, and prove global regularity and scattering for classical smooth data of finite energy. In addition, we establish a priori bounds on a suitable scattering norm of the radial wave maps and exhibit concentration compactness properties of sequences of radial wave maps with uniformly bounded energies. This extends and complements the beautiful classical work of Christodoulo

The gas bubble laden layer under the anodes during the electrolysis of alumina plays an important role in the hydrodynamics and the voltage balance of the reduction cells. Under certain geometrical and operational conditions, very large gas pockets, in the order of hundred cubic centimeters can be formed. The particular shape of these large gas bubbles was first described by Fortin et al in 1984 [1]. In the present paper the results of a combined experimental and numerical approach are described. In the exp

Isogeometric Analysis (IGA) is a computational methodology for the numerical approximation of Partial Differential Equations (PDEs). IGA is based on the isogeometric concept, for which the same basis functions, usually Non-Uniform Rational B-Splines (NURBS), are used both to represent the geometry and to approximate the unknown solutions of PDEs. Compared to the standard Finite Element method, NURBS-based IGA offers several advantages: ideally a direct interface with CAD tools, exact geometrical representat

We investigate a finite element approximation of an initial boundary value problem associated with parabolic Partial Differential Equations endowed with mixed time varying boundary conditions, switching from essential to natural and viceversa. The switching occurs both in time and in different portions of the boundary. For this problem, we apply and extend the Nitsche’s method presented in [Juntunen and Stenberg, Mathematics of Computation, 2009] to the case of mixed time varying boundary conditions. After

This paper, as the sequel to previous work, develops numerical schemes for fractional diffusion equations on a two-dimensional finite domain with tri- angular meshes. We adopt the nodal discontinuous Galerkin methods for the full spatial discretization by the use of high-order nodal basis, employ- ing multivariate Lagrange polynomials defined on the triangles. Stability analysis and error estimates are provided, which shows that if polynomials of degree N are used, the methods are (N+1)-th order accurate fo

The computational fluid dynamics of the heart represents a challenging task both in terms of mathematical and numerical modeling; this is mainly due to the pulsatile nature of the blood flow, to its complex interaction with the valves, and, more in general, to the reciprocal action of the components responsible for the heart functioning. Even if one focuses on the study of the left ventricle, the blood flow patterns result to be significantly dependent on the mechanical contraction and relaxation of the mus

This project is developed within the scope of HydroContest which is an inter-school competition for the design of a racing boat with a high focus on energetic efficiency; the goal is to maximize the speed of the boat under the constraint of a limited power source. Hydrofoils are especially interesting since they offer an important reduction of drag at high speeds while remaining cost efficient. Within the contest, this project aims at delivering a prediction tool for the hydrofoil performance using numerica

Tensegrity structures are self-stressed pin-jointed structures composed of cables and struts. They are advantageous systems for transformable applications since structural elements and active elements can be combined. A transformable “hollow-rope” tensegrity system that has been found viable for a deployable footbridge application is explored in this paper. Its deployment requires employing active cables to simultaneously adjust several degrees of freedom. However, active elements can also be used to enhanc

Numerical simulations using the finite element method (FEM) verify the light confinement effect observed in nano-scale solid immersion lenses (SILs). As observed in experiments, a strong light confinement occurs on the bottom surface of the SILs in simulation. The numerical spot size is comparable to the experimental spot size, and provides some insight into the deviation from the analytical expectation of the spot size reduction.

We study the single-phase flow in a saturated, bounded heterogeneous porous medium. We model the permeability as a log-normal random field. We perform a perturbation analysis, expanding the solution in Taylor series. The series is directly computable in the case of a random field parametrized by a finite number of random variables. On the other hand, in the case of an infinite dimensional random field, suitable equations satisfied by the derivatives of the stochastic solution can be derived. We give a theor

Emergent phenomena occur due to the pattern of non-linear and distributed local interactions between the elements of a system over time. An example of such phenomena is the spontaneous self-organisation of drinking parties in the squares of cities in Spain, also known as

El Botellon". The emergence of self-organisation was shown to depend critically on the chat-probability, i.e. the probability that a person finds someone to chat with in a square of the city. We consider a variant of

El Botellon" in whi

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This technical report is organized as follows: In the first section we develop the Laplacian operator on non-Euclidean manifolds. First we start by derivation of Laplacian operator on Riemannian manifolds and than we derive it explicitly for each of the non-Euclide

A multiphase-field model for the description of coalescence in a binary alloy is solved numerically using adaptive finite elements with high aspect ratio. The unknown of the multiphase-field model are the three phase fields (solid phase 1, solid phase 2, and liquid phase), a Lagrange multiplier and the concentration field. An Euler implicit scheme is used for time discretization, together with continuous, piecewise linear finite elements. At each time step, a linear system corresponding to the three phases

Mathematical and numerical aspects of free surface flows are investigated. On one hand, the mathematical analysis of some free surface flows is considered. A model problem in one space dimension is first investigated. The Burgers equation with diffusion has to be solved on a space interval with one free extremity. This extremity is unknown and moves in time. An ordinary differential equation for the position of the free extremity of the interval is added in order to close the mathematical problem. Local exi

This paper presents the modeling strategy developed for the design of a planar solid oxide fuel cell repeat element. Design goal are to reach good performance (power density) and reliability (ie. limit risk of failure and degradation). This challenging problem, involving multiple physical phenomena, different scales (from the pores of the catalyst to the interaction of the fuel cell with the system), is addressed with a multi-scale modeling approach. Handling the complexity of the problem (including kinetic

The thermotropic phase diagram of 1:1 co-crystals of hexamethylenetetramine and pimelic acid (heptanedioic acid) is investigated. Three crystalline phases are identified at ambient pressure. Phase I is disordered, as revealed by diffuse rods in its diffraction pattern. When the temperature is lowered the diffuse streaks disappear in Phase II, but superstructure reflections emerge indicating an ordering process of the structure through a non-ferroic, or at least non-ferroelastic, phase transition. Phase II i

Exact diagonalization, matrix product states and conformal perturbation theory study of a 3D Ising fuzzy sphere model

Chattez avec Graph Search

Search for nonresonant new physics signals in high-mass dilepton events produced in association with b-tagged jets in proton-proton collisions at TeV

Field redefinitions can be nonlocal

Coupled 1D-3D CFD analysis of full-load instability in a prototype Francis turbine

Quantum loop groups and shuffle algebras via Lyndon words

Concentration compactness for critical radial wave maps

Large Gas Bubbles under the Anodes of Aluminum Electrolysis Cells

Reduced Basis method for Isogeometric Analysis: application to structural problems

MATHICSE Technical Report : Nitsche’s method for parabolic Partial Differential Equations with mixed time varying boundary conditions

Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes

Modeling the fluid dynamics of the heart: from blood flows in idealized left ventricles to patient-specific aortic valve simulations

Hydrocontest: Computational Fluid Dynamics of hydrofoils

A transformable tensegrity-footbridge system

Numerical verification of light confinement in a nano solid immersion lens

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Revisiting the Limit Behaviour of ``El Botellon"

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Adaptive finite elements with high aspect ratio for the computation of coalescence using a phase-field model

Analysis and numerical simulation of free surface flows

Multi-scale modeling methodology for computer aided design of a Solid Oxide fuel cell stack

Structural phases of hexamethylenetetramine-pimelic acid (1/1): a unified description based on a stacking model