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This paper introduces a multi-timescale stochastic programming framework designed to address decision-making challenges in power systems, particularly those with high renewable energy penetration. The framework models interactions across…

Optimization and Control · Mathematics 2025-08-13 Yihang Zhang , Suvrajeet Sen

Stochastic systems often exhibit multiple viable metastable states that are long-lived. Over very long timescales, fluctuations may push the system to transition between them, drastically changing its macroscopic configuration. In realistic…

Statistical Mechanics · Physics 2023-04-14 Tobias Grafke , Alessandro Laio

Energy landscapes play a crucial role in shaping dynamics of many real-world complex systems. System evolution is often modeled as particles moving on a landscape under the combined effect of energy-driven drift and noise-induced diffusion,…

Computational Engineering, Finance, and Science · Computer Science 2025-03-04 Ruikun Li , Huandong Wang , Qingmin Liao , Yong Li

Neural network models have been used to construct energy landscapes for modeling biological phenomena, in which the minima of the landscape correspond to memory patterns stored by the network. Here, we show that dynamic properties of those…

Disordered Systems and Neural Networks · Physics 2016-11-21 Sai Teja Pusuluri , Alex Hunter Lang , Pankaj Mehta , Horacio Emilio Castillo

In a living system composed of interacting components such as molecules, cells, and tissues, each component often adaptively changes its internal states in response to interactions with its surrounding components. For example, individual…

Biological Physics · Physics 2025-10-28 Ryunosuke Suzuki , Taiji Adachi

Nonreciprocity can be passively achieved by harnessing material nonlinearities. In particular, networks of nonlinear bistable elements with asymmetric energy landscapes have recently been shown to support unidirectional transition waves.…

Applied Physics · Physics 2021-07-14 Gabriele Librandi , Eleonora Tubaldi , Katia Bertoldi

Evolution in time-varying environments naturally leads to adaptable biological systems that can easily switch functionalities. Advances in the synthesis of environmentally-responsive materials therefore open up the possibility of creating a…

A hallmark of living systems is the ability to employ a common set of versatile building blocks that can self-organize into a multitude of different structures, in a way that can be controlled with minimal cost. This capability can only be…

Statistical Mechanics · Physics 2022-01-26 Saeed Osat , Ramin Golestanian

We present a simple model system with four hard disks moving in a circular region for which free energy landscapes can be directly calculated and visualized in two and three dimensions. We construct several energy landscapes for our system…

Disordered Systems and Neural Networks · Physics 2021-04-06 Eric R. Weeks , Keely Criddle

Air-land bimodal vehicles provide a promising solution for navigating complex environments by combining the flexibility of aerial locomotion with the energy efficiency of ground mobility. However, planning dynamically feasible, smooth,…

Robotics · Computer Science 2025-09-18 Shaoting Liu , Wenshuai Yu , Bo Zhang , Shoubin Chen , Fei Ma , Zhou Liu , Qingquan Li

Free energy landscapes encode the kinetics, intermediates, and transition states that govern molecular processes and are thus a key target of single biomolecule research. Typical approaches to deriving optimal, error-minimizing,…

Biological Physics · Physics 2025-11-25 Oliver Cheng , Zosia Adamska , Michael P. Brenner , Megan C. Engel

Biomolecular machines transduce between different forms of energy. These machines make directed progress and increase their speed by consuming free energy, typically in the form of nonequilibrium chemical concentrations. Machine dynamics…

Statistical Mechanics · Physics 2018-10-05 Aidan I Brown , David A Sivak

The transport of motile entities across modulated energy landscapes plays an important role in a range of phenomena in biology, colloidal science and solid-state physics. Here, an easily implementable strategy that allows for the collective…

Soft Condensed Matter · Physics 2020-03-11 Fernando Martínez-Pedrero , Francisco Ortega , Ramón G. Rubio , Carles Calero

An analysis of instability dynamics in a stochastic magnetic field is presented for the tractable case of the resistive interchange. Externally prescribed static magnetic perturbations convert the eigenmode problem to a stochastic…

Plasma Physics · Physics 2023-06-14 Mingyun Cao , P. H. Diamond

We present experiments on the collective dynamics of macroscopic photoactive self-propelled particles subjected to spatiotemporally varying excitation. The particles move within an arena divided into two regions with different illumination…

Soft Condensed Matter · Physics 2026-03-19 Sára Lévay , Axel Katona , Raúl Cruz Hidalgo , Iker Zuriguel

Reconfigurable metasurfaces are potent platforms to control the propagation properties of light dynamically. Among different reconfiguration mechanisms available at optical frequencies, using non-volatile phase change materials is one of…

Optics · Physics 2024-12-03 Luis Manuel Máñez-Espina , Ana Díaz-Rubio

Multistable structures are objects with more than one stable conformation, exemplified by the simple switch. Continuum versions are often elastic composite plates or shells, such as the common measuring tape or the slap bracelet, both of…

Soft Condensed Matter · Physics 2012-01-31 L. Giomi , L. Mahadevan

This paper presents a mechanically bistable mechanism of the compressed pre-curved beam. A governing equation is proposed which can be used to predict and explain the bistability of the compressed pre-curved beam. FE simulations and…

Applied Physics · Physics 2022-11-02 Fan Liu , Zian Jia , Xihang Jiang , Lifeng Wang

We present a new multiphase-field theory for describing pattern formation in multi-domain and/or multi-component systems. The construction of the free energy functional and the dynamic equations is based on criteria that ensure mathematical…

Materials Science · Physics 2015-12-09 Gyula I. Toth , Tamas Pusztai , Laszlo Granasy

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

Physics and Society · Physics 2022-05-27 Hillel Sanhedrai , Shlomo Havlin