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We give a lower bound for the degree of a finite cover of a hyperbolic 3-manifold which fibers over the circle, in terms of volume, the diameter of the manifold and other new invariants.

Geometric Topology · Mathematics 2021-09-23 Inkang Kim , Hongbin Sun

We develop a mesoscopic approach to model the non-equilibrium behavior of membranes at the cellular scale. Relying on lattice Boltzmann methods, we develop a solution procedure to recover the Nernst-Planck equations and Gauss's law. A…

Mesoscale and Nanoscale Physics · Physics 2023-02-22 James E. McClure , Zhe Li

This paper concerns with mesh restrictions that are needed to satisfy several important mathematical properties -- maximum principles, comparison principles, and the non-negative constraint -- for a general linear second-order elliptic…

Numerical Analysis · Computer Science 2015-02-24 M. K. Mudunuru , K. B. Nakshatrala

Achieving low thermal conductivity and good electrical properties is a crucial condition for thermal energy harvesting materials. Nanostructuring offers a very powerful tool to address both requirements: in nanostructured materials,…

Mesoscale and Nanoscale Physics · Physics 2018-09-14 Giuseppe Romano , Jesús Carrete , Alexie M. Kolpak , David Broido

Topological insulators are ideally represented as having an insulating bulk with topologically protected, spin-textured surface states. However, it is increasingly becoming clear that these surface transport channels can be accompanied by a…

Mesoscale and Nanoscale Physics · Physics 2017-07-28 E. K. de Vries , S. Pezzini , M. J. Meijer , N. Koirala , M. Salehi , J. Moon , S. Oh , S. Wiedmann , T. Banerjee

We derive a novel closed-form lower bound on the ergodic capacity of holographic multiple-input multiple-output (HMIMO) systems enhanced by stacked intelligent metasurfaces (SIMs) under Rayleigh fading conditions. The proposed expression is…

Information Theory · Computer Science 2025-12-29 Anastasios Papazafeiropoulos , Ioannis Bartsiokas , Dimitra I. Kaklamani , Iakovos S. Venieris

We perform a comprehensive study of the allowed parameter space of the Two Higgs Doublet Model of Type II (2HDM-II). Using the theoretical framework flavio we combine the most recent flavour, collider and electroweak precision observables…

High Energy Physics - Phenomenology · Physics 2022-05-26 Oliver Atkinson , Matthew Black , Alexander Lenz , Aleksey Rusov , James Wynne

Photovoltaic materials are recognized for their potential as sustainable energy sources that enable the conversion between light and electrical energy. However, solar cells have been unable to surpass the theoretical limit of 32%, known as…

Applied Physics · Physics 2024-06-18 Jeonggyu Hwang

We show that the near-field functionality of hyperbolic metamaterials (HMM), typically proposed for increasing the photonic local density of states (LDOS), can be achieved with thin metal films. Although HMMs have an infinite density of…

Optics · Physics 2015-04-07 Owen D. Miller , Steven G. Johnson , Alejandro W. Rodriguez

This letter develops an optimum beamforming method for downlink transmissions in cell-free massive multiple-input multiple-output (MIMO) systems, which employ a massive number of distributed access points to provide concurrent services to…

Signal Processing · Electrical Eng. & Systems 2020-06-11 Andong Zhou , Jingxian Wu , Erik G. Larsson , Pingzhi Fan

Here we consider the possible bulk and shear moduli of planar polycrystals built from a single crystal in various orientations. Previous work gave a complete characterization for crystals with orthotropic symmetry. Specifically, bounds were…

Analysis of PDEs · Mathematics 2021-09-22 Graeme W. Milton

Electromagnetic materials with a uniaxial effective permittivity tensor, characterized by its transverse ($\epsilon_\perp$) and axial ($\epsilon_\parallel$) components, play a central role in the design of advanced photonic and…

Optics · Physics 2025-07-15 Kshiteej J. Deshmukh , Graeme W. Milton

Recently we have described materials interface transport coupling rigorously utilizing NEGF nonequilibrium Green's functions, and have discussed the Hamiltonian terms that from Green's theorem and boundary conditions can be rewritten as…

Statistical Mechanics · Physics 2010-05-21 Fredrick Michael

Optimal embedding in the three-dimensional space of exponentially growing squeezed surfaces, like plants leaves, or 2D colonies of exponentially reproducing cells, is considered in the framework of conformal approach. It is shown that the…

Soft Condensed Matter · Physics 2016-11-01 Sergei Nechaev , Kirill Polovnikov

A method is proposed for the characterisation of the entropy of cellular structures, based on the compactivity concept for granular packings. Hamiltonian-like volume functions are constructed both in two and in three dimensions, enabling…

Soft Condensed Matter · Physics 2009-11-11 Raphael Blumenfeld , Sam F. Edwards

The paper outlines novel variational technique for finding microstructures of optimal multimaterial composites, bounds of composites properties, and multimaterial optimal designs. The translation method that is used for the exact…

Optimization and Control · Mathematics 2014-03-10 Andrej Cherkaev

Physical design problems, such as photonic inverse design, are typically solved using local optimization methods. These methods often produce what appear to be good or very good designs when compared to classical design methods, but it is…

Optics · Physics 2020-05-20 Guillermo Angeris , Jelena Vuckovic , Stephen Boyd

Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with enhanced sustainability by means of component reuse. For…

Materials Science · Physics 2022-05-25 Marek Tyburec , Martin Doškář , Jan Zeman , Martin Kružík

In cellular systems using frequency division duplex, growing Internet services cause unbalance of uplink and downlink traffic, resulting in poor uplink spectrum utilization. Addressing this issue, this paper considers overlaying an ad hoc…

Information Theory · Computer Science 2016-11-17 Kaibin Huang , Yan Chen , Bin Chen , Xia Yang , Vincent K. N. Lau

We propose a class of linear elastic three-dimensional metamaterials for which the effective parameters bulk modulus and mass density can be adjusted independently over a large range|which is not possible for ordinary materials. First, we…

Materials Science · Physics 2016-11-25 Muamer Kadic , Tiemo Buckmann , Robert Schittny , Peter Gumbsch , Martin Wegener