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I introduce a novel mathematical framework integrating topological dynamics, operator algebras, and ergodic geometry to study lattices of asynchronous metric dynamical systems. Each node in the lattice carries an internal flow represented…

General Mathematics · Mathematics 2025-05-29 Faruk Alpay

The morphing of 3D structures is suitable for i) future tunable material design for customizing material properties and ii) advanced manufacturing tools for fabricating 3D structures on a 2D plane. However, there is no inverse design method…

Materials Science · Physics 2023-10-24 Kai Xiao , Yuhao Wang , Chao Song , Bihui Zou , Zihe Liang , Heeseung Han , Yilin Du , Hanqing Jiang , Jaehyung Ju

Inspired by the quest for shape-shifting structures in a range of applications, we show how to create morphable structural materials using a neutrally stable unit cell as a building block. This unit cell is a self-stressed hinged structure…

Soft Condensed Matter · Physics 2021-10-18 Gaurav Chaudhary , S Ganga Prasath , Edward Soucy , L Mahadevan

This is the user manual for CosmoLattice, a modern package for lattice simulations of the dynamics of interacting scalar and gauge fields in an expanding universe. CosmoLattice incorporates a series of features that makes it very versatile…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-09 Daniel G. Figueroa , Adrien Florio , Francisco Torrenti , Wessel Valkenburg

We propose a novel approach for efficient tuning of the transmission characteristics of metamaterials through a continuous adjustment of the lattice structure, and confirm it experimentally in the microwave range. The concept is rather…

Aligning lattices based on local stress distribution is crucial for achieving exceptional structural stiffness. However, this aspect has primarily been investigated under a single load condition, where stress in 2D can be described by two…

Computational Engineering, Finance, and Science · Computer Science 2025-01-20 Junpeng Wang , Rüdiger Westermann , Xifeng Gao , Jun Wu

Adapting pre-trained foundation models for various downstream tasks has been prevalent in artificial intelligence. Due to the vast number of tasks and high costs, adjusting all parameters becomes unfeasible. To mitigate this, several…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Chongjie Si , Xuehui Wang , Xue Yang , Zhengqin Xu , Qingyun Li , Jifeng Dai , Yu Qiao , Xiaokang Yang , Wei Shen

With the growing maturity of additive manufacturing, the fabrication of architected or lattice-based metamaterials has become a reality for industrial applications. These materials combine lightweight design with tailored mechanical…

Numerical Analysis · Mathematics 2026-03-12 Clément Guillet , Thibaut Hirschler , Pierre Jolivet , Pablo Antolin , Robin Bouclier

Lattice-type structures can provide a combination of stiffness with light weight that is desirable in a variety of applications. Design optimization of these structures must rely on approximations of the governing physics to render solution…

Numerical Analysis · Mathematics 2021-05-05 Sean McBane , Youngsoo Choi

Inverse design algorithms are the basis for realizing high-performance, freeform nanophotonic devices. Current methods to enforce geometric constraints, such as practical fabrication constraints, are heuristic and not robust. In this work,…

Applied Physics · Physics 2020-07-28 Mingkun Chen , Jiaqi Jiang , Jonathan Fan

Flat optics foresees a new era of ultra-compact optical devices, where metasurfaces serve as the foundation. Conventional designs of metasurfaces start with a certain structure as the prototype, followed by an extensive parametric sweep to…

Applied Physics · Physics 2020-07-02 Dayu Zhu , Zhaocheng Liu , Lakshmi Raju , Andrew S. Kim , Wenshan Cai

Coherent control of motional degrees of freedom of ultracold atoms in optical lattices offers a promising route towards programmable quantum dynamics with massive particles. We propose and analyze a scheme for implementing coherent…

Quantum Physics · Physics 2026-03-05 Alexander Roth , Liyang Qiu , Timon Hilker , Titus Franz , Philipp M. Preiss

Robots often need to be reconfigurable$-$to customize, calibrate, or optimize robots operating in varying environments with different hardware). A particular challenge in robotics is the automated and dynamic reconfiguration to load and…

Robotics · Computer Science 2025-04-10 Sven Peldszus , Davide Brugali , Daniel Strüber , Patrizio Pelliccione , Thorsten Berger

Metamaterials can enable peculiar static and dynamic behavior (such as negative effective mass density, dynamical stiffness, and Poisson's ratio) due to their geometry rather than their chemical composition. The geometry of these…

Soft Condensed Matter · Physics 2022-01-03 Audrey A. Watkins , Austin Eichelberg , Osama R. Bilal

Previous mechanical meta-structures used for mechanical memory storage, computing and information processing are severely constrained by low information density and/or non-robust structural stiffness to stably protect the maintained…

Applied Physics · Physics 2024-02-28 Yanbin Li , Shuangyue Yu , Haitao Qing , Yaoye Hong , Yao Zhao , Fangjie Qi , Hao Su , Jie Yin

Robot manipulation in cluttered environments often requires complex and sequential rearrangement of multiple objects in order to achieve the desired reconfiguration of the target objects. Due to the sophisticated physical interactions…

Robotics · Computer Science 2022-08-05 Kejia Ren , Lydia E. Kavraki , Kaiyu Hang

Robotic surfaces traditionally use materials with a positive Poisson's ratio to push and pull on a manipulation interface. Auxetic materials with a negative Poisson's ratio may expand in multiple directions when stretched and enable…

Robotics · Computer Science 2025-12-02 Jacob Miske , Ahyan Maya , Ahnaf Inkiad , Jeffrey Ian Lipton

Geometric modelling has been a crucial component of the design process ever since the introduction of the first Computer-Aided Design (CAD) systems. Additive Manufacturing (AM) pushes design freedom to previously unachievable limits. AM…

Computational Geometry · Computer Science 2026-05-22 Nikita Letov , Yaoyao Fiona Zhao

We present a new algorithm for the design of the connection region between different lattice materials. We solve a Stokes-type topology optimization problem on a narrow morphing region to smoothly connect two different unit cells. The…

Computational Engineering, Finance, and Science · Computer Science 2022-06-03 Nicola Ferro , Simona Perotto , Matteo Gavazzoni

In this work, we study lattice structures that exhibit a bistable behavior, i. e., they can snap from one stable state to another, and are also completely reversible, capable of reverting back to its original state through a heat treatment.…

Classical Physics · Physics 2022-07-19 Aditya Vasudevan , José A. Rodríguez-Martínez , Ignacio Romero