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A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known to be typically in competition, but it is not known how to…

Soft Condensed Matter · Physics 2021-07-01 Anthony Trubiano , Miranda Holmes-Cerfon

Optimization problems have been the subject of statistical physics approximations. A specially relevant and general scenario is provided by optimization methods considering tradeoffs between cost and efficiency, where optimal solutions…

Statistical Mechanics · Physics 2015-09-16 Luís F. Seoane , Ricard V. Solé

Rational design strategies for self-assembly require a detailed understanding of both the equilibrium state and the assembly kinetics. While the former is starting to be well understood, the latter remains a major theoretical challenge,…

Soft Condensed Matter · Physics 2026-03-03 Maximilian C. Hübl , Carl P. Goodrich

This article reviews recent inverse statistical-mechanical methodologies that we have devised to optimize interaction potentials in soft matter systems that correspond to stable "target" structures. We are interested in finding the…

Soft Condensed Matter · Physics 2008-11-05 Salvatore Torquato

Many complex systems obey to optimality conditions that are usually not simple. Conflicting traits often interact making a Multi Objective Optimization (MOO) approach necessary. Recent MOO research on complex systems report about the Pareto…

Physics and Society · Physics 2015-09-16 Luís F. Seoane , Ricard Solé

The design of mobile autonomous robots is challenging due to the limited on-board resources such as processing power and energy. A promising approach is to generate intelligent schedules that reduce the resource consumption while…

We formulate statistical-mechanical inverse methods in order to determine optimized interparticle interactions that spontaneously produce target many-particle configurations. Motivated by advances that give experimentalists greater and…

Soft Condensed Matter · Physics 2007-05-23 Mikael C. Rechtsman , Salvatore Torquato , Frank H. Stillinger

Addressable self-assembly is the formation of a target structure from a set of unique molecular or colloidal building-blocks, each of which occupies a defined location in the target. The requirement that each type of building-block appears…

Soft Condensed Matter · Physics 2019-12-03 Jim Madge , David Bourne , Mark A. Miller

Autonomous robots are increasingly utilized in realistic scenarios with multiple complex tasks. In these scenarios, there may be a preferred way of completing all of the given tasks, but it is often in conflict with optimal execution.…

Robotics · Computer Science 2023-06-26 Peter Amorese , Morteza Lahijanian

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidate (possibly anisotropic) materials inside a reference…

Numerical Analysis · Mathematics 2018-07-04 Francesco Regazzoni , Nicola Parolini , Marco Verani

The conflict between stiffness and toughness is a fundamental problem in engineering materials design. However, the systematic discovery of microstructured composites with optimal stiffness-toughness trade-offs has never been demonstrated,…

Materials Science · Physics 2024-01-05 Beichen Li , Bolei Deng , Wan Shou , Tae-Hyun Oh , Yuanming Hu , Yiyue Luo , Liang Shi , Wojciech Matusik

The promise of self-assembly to enable bottom-up formation of materials with prescribed architectures and functions has driven intensive efforts to uncover rational design principles for maximizing the yield of a target structure. Yet,…

Soft Condensed Matter · Physics 2023-01-04 Anthony Trubiano , Michael F. Hagan

Directional design of functional materials with multi-objective constraints is a big challenge, whose performance and stability are determined by different physics factors entangled with each other complicatedly. In this work, we apply the…

Materials Science · Physics 2021-03-08 Shenshen Yan , Yi Wang , Zhibin Gao , Yang Long , Jie Ren

Thermal machines are physical systems that, when fueled by input energy, perform output tasks such as heat pumping or the production of work. Their performance is characterized with several, often competing quantities, such as power,…

Statistical Mechanics · Physics 2026-03-23 José A. Almanza-Marrero , Édgar Roldán , Gonzalo Manzano

In multi-objective optimization, a single decision vector must balance the trade-offs between many objectives. Solutions achieving an optimal trade-off are said to be Pareto optimal: these are decision vectors for which improving any one…

Optimization and Control · Mathematics 2023-08-07 Abhishek Roy , Geelon So , Yi-An Ma

This paper addresses the dimensional synthesis of an adaptive mechanism of contact points ie a leg mechanism of a piping inspection robot operating in an irradiated area as a nuclear power plant. This studied mechanism is the leading part…

Robotics · Computer Science 2014-06-19 Renaud Henry , Damien Chablat , Mathieu Porez , Frédéric Boyer , Daniel Kanaan

Within the last 20 years, wind turbines have reached matured and the growing worldwide wind energy market will allow further improvements. In the recent decades, the numbers of research papers that have applied optimization techniques in…

Optimization and Control · Mathematics 2016-10-05 Adam Chehouri , Rafic Younes , Adrian Ilinca , Jean Perron

Balancing safety, efficiency, and operational costs in highway driving poses a challenging decision-making problem for heavy-duty vehicles. A central difficulty is that conventional scalar reward formulations, obtained by aggregating these…

Machine Learning · Computer Science 2026-01-27 Deepthi Pathare , Leo Laine , Morteza Haghir Chehreghani

The rapid uptake of renewable energy sources in the electricity grid leads to a demand in load shaping and flexibility. Energy storage devices such as batteries are a key element to provide solutions to these tasks. However, typically a…

Optimization and Control · Mathematics 2019-07-16 Philipp Sauerteig , Karl Worthmann

In alloy design, the search for candidate materials is often framed as an optimization problem, with the goal of identifying Pareto-optimal solutions across multiple objectives. However, Pareto-optimal solutions do not necessarily satisfy…

Materials Science · Physics 2025-10-24 Cayden Maguire , Christofer Hardcastle , Trevor Hastings , Raymundo Arróyave , Brent Vela
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