We identify these boundaries as families of (di)graph configurations which we name US and UL networks, summarised in Fig. 1; see Methods and Supplementary Notes 1–3 for details. These families arise from a few simple building blocks, Fig. 1. The sparsest connected graphs that can be ...
we need to perform some explicit computations of superpotential terms to 5th or 6th order which is highly non-trivial. the challenging part involves correlation functions of several primary operators in the ising model for which we concentrate a dedicated section of this paper. obviously, one of ...
heisenberg interaction in the remainder of the paper we prove universality for some families of interactions where we are not assisted by free 1-local terms. we consider interactions that generalise the familiar heisenberg interaction \(h = x \otimes x + y \otimes y + z \otimes z\) for ...
I managed to understand concepts I used to find difficult much easily due to the concise notes and lectures. I was also able to learn the fastest approach and methods to solve certain questions which will make a difference during the paper itself! The examples in the notes and other materials...
Fig. 1. Overview of ARC 3.0. Only the class names are listed here; a full list of the implemented methods can be found in Appendix C. The range of divalent atom data currently included in ARC 3.0 is summarised in Table 1 and discussed in Appendix B. New species/series may easily be ...
observed in our RIXS experiments, harden in energy by about 45 meV between the parent (x = 0.0) compound and the most doped compound (x = 0.52) at (0.44, 0). The hardening for the same doping levels at (0.32, 0.32) is on the order of 65 meV as summarised in Fig.3....
Fig. 1. Overview of ARC 3.0. Only the class names are listed here; a full list of the implemented methods can be found in Appendix C. The range of divalent atom data currently included in ARC 3.0 is summarised in Table 1 and discussed in Appendix B. New species/series may easily be ...
Abstract This paper is a broad overview and a summary of the recent progress achieved in Ion Cyclotron Range of Frequency (ICRF) systems, experiments and modelling during the last 20 years in magnetic confinement fusion experiments. It has been written mainly for students or newcomers in this exc...
In this paper, to be on the safer side, we have aimed for a generalised solution, i.e., we sampled a large number of points. Specific details can be found in Sect. 4.5. 2.2.6 Parametric PINNs PINNs can predict the variation in the solution for a range of parameters such as density...
The parameters, whose sole influences on the electric behaviour cannot be separated at the cell level, are summarised to derive a model with purely electrical quantities. We significantly reduce the model order compared to a physicochemical model while ensuring a minimal approximation error. Utilising ...