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Optimal transport has recently been brought forward as a tool for modeling and efficiently solving a variety of flow problems, such as origin-destination problems and multi-commodity flow problems. Although the framework has shown to be…

Optimization and Control · Mathematics 2025-07-29 Anqi Dong , Karl Henrik Johansson , Johan Karlsson

We experimentally and theoretically study the thermodynamically optimal control of interacting multiple-particle systems, focusing on collections of colloidal particles individually confined in optical traps. We investigate protocols that…

Soft Condensed Matter · Physics 2026-03-19 Samuel Monter , Lars T. Stutzer , Sarah A. M. Loos , Clemens Bechinger

Understanding the complex patterns in space-time exhibited by active systems has been the subject of much interest in recent times. Complementing this forward problem is the inverse problem of controlling active matter. Here we use optimal…

Soft Condensed Matter · Physics 2022-10-12 Suraj Shankar , Vidya Raju , L. Mahadevan

Biological molecular machines convert free energy between different forms in cells, often at high efficiency. Optimal control theory provides a framework to elucidate design principles governing energetically efficient driving. Here, we use…

Biological Physics · Physics 2025-06-12 W. Callum Wareham , David A. Sivak

It is widely spread in the literature that non-Markovianity (NM) may be regarded as a resource in quantum mechanics. However, it is still unclear how and when this alleged resource may be exploited. Here, we study the relationship between…

Quantum Physics · Physics 2019-03-19 Nicolás Mirkin , Pablo Poggi , Diego Wisniacki

We analyze a periodic optimal finite-time two-state information-driven machine that extracts work from a single heat bath exploring imperfect measurements. Two models are considered, a memory-less one that ignores past measurements and an…

Statistical Mechanics · Physics 2014-09-26 Michael Bauer , Andre C. Barato , Udo Seifert

Most interesting problems in robotics (e.g., locomotion and manipulation) are realized through intermittent contact with the environment. Due to the perception and modeling errors, assuming an exact time for establishing contact with the…

Robotics · Computer Science 2024-10-21 Haizhou Zhao , Majid Khadiv

An optimal control problem for longitudinal motions of a thin elastic rod is considered. We suppose that a normal force, which changes piecewise constantly along the rod's length, is applied to the cross-section so that the positions of…

Optimization and Control · Mathematics 2023-04-13 Georgy Kostin , Alexander Gavrikov

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

Statistical Mechanics · Physics 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

We study linear policy approximations for the risk-conscious operation of an industrial energy system with uncertain wind power, significant and variable electricity demand, and high thermal output, as found in a modern foundry. The system…

Optimization and Control · Mathematics 2025-11-24 Johannes Nicklaus , Lea Brass , Gunnar Schubert

We analyze the role of indirect quantum measurements in work extraction from quantum systems in nonequilibrium states. In particular, we focus on the work that can be obtained by exploiting the correlations shared between the system of…

Quantum Physics · Physics 2018-09-24 Gonzalo Manzano , Francesco Plastina , Roberta Zambrini

Collisional Brownian engines have recently gained attention as alternatives to conventional nanoscale engines. However, a comprehensive optimization of their performance, which could serve as a benchmark for future engine designs, is still…

Statistical Mechanics · Physics 2025-11-05 Gustavo A. L. Forão

We study an optimal stopping problem under non-exponential discounting, where the state process is a multi-dimensional continuous strong Markov process. The discount function is taken to be log sub-additive, capturing decreasing impatience…

Mathematical Finance · Quantitative Finance 2021-07-14 Yu-Jui Huang , Zhenhua Wang

Extracting energy from fluctuations has been an everlasting endeavor. An important strategy is to use information-based operation, which allows energy extraction even from thermal fluctuations. However, it remains unclear whether a blind…

Statistical Mechanics · Physics 2016-12-13 Shou-Wen Wang , Lei-Han Tang

We propose novel resource allocation algorithms that have the objective of finding a good tradeoff between resource reuse and interference avoidance in wireless networks. To this end, we first study properties of functions that relate the…

Signal Processing · Electrical Eng. & Systems 2018-01-19 Qi Liao , R. L. G. Cavalcante

Adaptive systems -- such as a biological organism gaining survival advantage, an autonomous robot executing a functional task, or a motor protein transporting intracellular nutrients -- must model the regularities and stochasticity in their…

Statistical Mechanics · Physics 2021-04-13 A. B. Boyd , J. P. Crutchfield , M. Gu

In many human-in-the-loop robotic applications such as robot-assisted surgery and remote teleoperation, predicting the intended motion of the human operator may be useful for successful implementation of shared control, guidance virtual…

Robotics · Computer Science 2018-03-28 Arun Kumar Singh , Sigal Berman , Ilana Nisky

The study of active matter has revealed novel non-equilibrium collective behaviors, illustrating their potential as a new materials platform. However, most works treat active matter as unregulated systems with uniform microscopic energy…

Soft Condensed Matter · Physics 2021-10-08 Martin J Falk , Vahid Alizadehyazdi , Heinrich Jaeger , Arvind Murugan

Self-assembly, the process by which interacting components form well-defined and often intricate structures, is typically thought of as a spontaneous process arising from equilibrium dynamics. When a system is driven by external…

Statistical Mechanics · Physics 2021-11-12 Shriram Chennakesavalu , Grant M. Rotskoff

We study the estimation of parameters pertaining to non-Markovian quantum open systems, such as the dissipation rate and environmental memory time. A key challenge is identifying the optimal measurement time, which must allow sufficient…

Quantum Physics · Physics 2026-04-21 Da-Wei Luo , Ting Yu