Publications related to Charge conservation

Surface Charge Boundary Condition Often Misused in CO2 Reduction Models

Sophia Haussener, Etienne Boutin, Evan Fair Johnson

The Poisson-Nernst-Planck equations have been used to model species transport in electrochemical CO2 reduction, where the surface charge boundary condition accounts for the potential drop across the Stern layer. A direct comparison of the published models ...

AMER CHEMICAL SOC2023

Semiclassical methods in conformal field theories scrutinized by the epsilon-expansion

Gil Badel

Conformal Field Theories (CFTs) are crucial for our understanding of Quantum Field Theory (QFT). Because of their powerful symmetry properties, they play the role of signposts in the space of QFTs. Any method that gives us information about their structure ...

EPFL2022

Two-point functions and bootstrap applications in quantum field theories

Denis Karateev

We study two-point functions of local operators and their spectral representation in UV complete quantum field theories in generic dimensions focusing on conserved currents and the stress-tensor. We establish the connection with the central charges of the ...

Springer Nature2022

Ionic Liquid Gating of SrTiO3 Lamellas Fabricated with a Focused Ion Beam

Amelia Emily-Kay Estry, Philip Johannes Walter Moll, Evgeny Mikheev

In this work, we combine two previously incompatible techniques for defining electronic devices: shaping three-dimensional crystals by focused ion beam (FIB), and two-dimensional electrostatic accumulation of charge carriers. The principal challenge for th ...

AMER CHEMICAL SOC2022

Pseudomomentum: origins and consequences

Harmeet Singh

The balance of pseudomomentum is discussed and applied to simple elasticity, ideal fluids, and the mechanics of inextensible rods and sheets. A general framework is presented in which the simultaneous variation of an action with respect to position, time, ...

2021

Anomalous interfacial dynamics of single proton charges in binary aqueous solutions

Aleksandra Radenovic, Evgenii Glushkov, Jean Camille Benjamin Comtet, Ahmet Avsar, Miao Zhang

Our understanding of the dynamics of charge transfer between solid surfaces and liquid electrolytes has been hampered by the difficulties in obtaining interface, charge, and solvent-specific information at both high spatial and temporal resolution. Here, w ...

AMER ASSOC ADVANCEMENT SCIENCE2021

Structure-Preserving Reduced Basis Methods For Poisson Systems

Jan Sickmann Hesthaven, Cecilia Pagliantini

We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with a Poisson manifold struc ...

AMER MATHEMATICAL SOC2021

Bootstrapping massive quantum field theories

Denis Karateev, João Miguel Augusto Penedones Fernandes

We propose a new non-perturbative method for studying UV complete unitary quantum field theories (QFTs) with a mass gap in general number of spacetime dimensions. The method relies on unitarity formulated as positive semi-definiteness of the matrix of inne ...

Springer Nature2020

Oxidation States, Thouless' Pumps, and Nontrivial Ionic Transport in Nonstoichiometric Electrolytes

Federico Grasselli

Thouless' quantization of adiabatic particle transport permits one to associate an integer topological charge with each atom of an electronically gapped material. If these charges are additive and independent of atomic positions, they provide a rigorous de ...

American Physical Society2020

Discrete Helmholtz charge distribution at liquid-liquid interfaces: Electrocapillarity, capacitance and non-linear spectroscopy studies

Hubert Girault, Grégoire Clément Gschwend

The structure of the polarised interface between two immiscible electrolyte solutions (ITIES) has usually been deduced from electrocapillarity and capacitance measurements. However, these two methods only offer an indirect access to the surface change dens ...

ELSEVIER SCIENCE SA2020

Trisubstituted geminal diazaalkene derived transient 1,2-carbodications

Shubhajit Das

The coulombic repulsion between two adjacent cation centres of 1,2-carbodications is known to decrease with pi- and/or n-donor substituents by a positive charge delocalization. Here we report the delocalization of the positive charge of transient 1,2-carbo ...

Royal Society of Chemistry2020

Detection of voltage pulse width effect on charge accumulation in PSCs EFISHG measurement

Mohammad Khaja Nazeeruddin, Sanghyun Paek, Zubair Ahmad

We report the effect of applied pulse width on charge accumulation in triple cation perovskite solar cells (PSCs) during the Electric Field Induced Second Harmonic Generation (EFISHG) measurements. The PSCs were prepared in the n-i-p structure using the la ...

ELSEVIER2020

Electrosorption at metal surfaces from first principles

Nicola Marzari

Electrosorption of solvated species at metal electrodes is a most fundamental class of processes in interfacial electrochemistry. Here, we use its sensitive dependence on the electric double layer to assess the performance of ab initio thermodynamics appro ...

NATURE PUBLISHING GROUP2020

Regularity of solutions for a fourth-order elliptic system via Conservation law

Changyu Guo

In this paper, we obtain interior Holder continuity for solutions of the fourth-order elliptic system Delta(2)u = Delta(V center dot del u) + div(w del u) + W center dot del u formulated by Lamm and Riviere [Comm. Partial Differential Equations 33 (2008) 2 ...

2020

Charge Accumulation, Recombination, and Their Associated Time Scale in Efficient (GUA)(x)(MA)(1-x)PbI3-Based Perovskite Solar Cells

Michael Graetzel, Shaik Mohammed Zakeeruddin, Pankaj Kumar Yadav, Daniel Prochowicz, Mohammad Mahdi Tavakoli, Anwar Qasem M Alanazi

Here, we study the influence of guanidinium (GUA) ions on the open-circuit voltage (V-oc) in the (GUA)(x)(MA)(1-x)PbI3 based perovskite solar cells. We demonstrate that incorporation of GUA forms electronic and ionic accumulation regions at the interface o ...

2019

Charting the space of 3D CFTs with a continuous global symmetry

João Miguel Augusto Penedones Fernandes, Alessandro Vichi

We study correlation functions of a conserved spin-1 current J in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symmetry and current conservation on the form of three point functions and the four p ...

Springer Nature2019

An artificial neural network as a troubled-cell indicator

Jan Sickmann Hesthaven, Deep Ray

High-resolution schemes for conservation laws need to suitably limit the numerical solution near discontinuities, in order to avoid Gibbs oscillations. The solution quality and the computational cost of such schemes strongly depend on their ability to corr ...

2018

Geometric Model Order Reduction

Babak Maboudi Afkham

During the past decade, model order reduction (MOR) has been successfully applied to reduce the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. S ...

EPFL2018

Atomistic simulation of bio-relevant ionic and organic species interacting with rutile - Towards the understanding of apatite formation

Azade Yazdan Yar

Atomistic simulation methods, namely molecular dynamics and well-tempered metadynamics, are used in this thesis to investigate apatite formation from different aspects. First, ions which are more abundant in SBFs under physiological conditions were identif ...

EPFL2018

Adaptive WENO methods based on radial basis functions reconstruction

Jan Sickmann Hesthaven, Caterina Bigoni

We explore the use of radial basis functions (RBF) in the weighted essentially non-oscillatory (WENO) reconstruction process used to solve hyperbolic conservation laws, resulting in a numerical method of arbitrarily high order to solve problems with discon ...

Springer Verlag2017