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Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts of heat, work and entropy production for individual stochastic trajectories of mesoscopic systems. Remarkably, this approach, relying on stochastic…

Stochastic methods are ubiquitous to a variety of fields, ranging from Physics to Economy and Mathematics. In many cases, in the investigation of natural processes, stochasticity arises every time one considers the dynamics of a system in…

统计力学 · 物理学 2012-08-02 Robert Biele , Roberto D'Agosta

The Onsager principle provides a variational route to the phenomenological equations of dissipative dynamics through the minimization of the Rayleighian. We develop a covariant formulation of the Onsager principle for active systems,…

Stochastic reaction network models arise in intracellular chemical reactions, epidemiological models and other population process models, and are a class of continuous time Markov chains which have the nonnegative integer lattice as state…

数值分析 · 数学 2024-07-26 Muruhan Rathinam , Mingkai Yu

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

混沌动力学 · 物理学 2018-08-15 Nathan Perchikov , O. V. Gendelman

Statistical spin dynamics plays a key role to understand the working principle for novel optical Ising machines. Here we propose the gauge transformations for spatial photonic Ising machine, where a single spatial phase modulator…

无序系统与神经网络 · 物理学 2021-07-28 Yisheng Fang , Junyi Huang , Zhichao Ruan

We consider diffusion-like paths that are explored by a particle moving via a conservative force while being in thermal equilibrium with its surroundings. To probe rare transitions, we use the Onsager-Machlup (OM) functional as a path…

统计力学 · 物理学 2016-01-01 Patrick Malsom , Frank Pinski

Tropical cyclones (TCs), driven by heat exchange between the air and sea, pose a substantial risk to many communities around the world. Accurate characterization of the subsurface ocean thermal response to TC passage is crucial for accurate…

应用统计 · 统计学 2024-03-18 Addison J. Hu , Mikael Kuusela , Ann B. Lee , Donata Giglio , Kimberly M. Wood

Markov community models have been applied to sessile organisms because such models facilitate estimation of transition probabilities by tracking species occupancy at many fixed observation points over multiple periods of time. Estimation of…

应用统计 · 统计学 2017-06-12 Keiichi Fukaya , J. Andrew Royle , Takehiro Okuda , Masahiro Nakaoka , Takashi Noda

Biological sensory systems, from \textit{E.~coli} chemotaxis to sensory neurons in \textit{C.~elegans}, achieve reliable adaptation over wide dynamic ranges despite operating in strongly noisy and overdamped regimes. Here, we present a…

统计力学 · 物理学 2026-02-12 Gunn Kim

A large variety of complex systems in ecology, climate science, biomedicine and engineering have been observed to exhibit tipping points, where the internal dynamical state of the system abruptly changes. For example, such critical…

物理与社会 · 物理学 2015-03-06 Christian Kuehn , Erik A. Martens , Daniel Romero

Current early warning signs for tipping points often fail to distinguish between catastrophic shifts and less dramatic state changes, such as spatial pattern formation. This paper introduces a novel method that addresses this limitation by…

动力系统 · 数学 2025-10-03 Paul A. Sanders , Robbin Bastiaansen

In ecology, climate and other fields, (sub)systems have been identified that can transition into a qualitatively different state when a critical threshold or tipping point in a driving process is crossed. An understanding of those tipping…

地球物理 · 物理学 2020-09-16 Ann Kristin Klose , Volker Karle , Ricarda Winkelmann , Jonathan F. Donges

Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

统计力学 · 物理学 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

Robot navigation around humans can be a challenging problem since human movements are hard to predict. Stochastic model predictive control (MPC) can account for such uncertainties and approximately bound the probability of a collision to…

机器人学 · 计算机科学 2024-07-22 Yunfan Gao , Florian Messerer , Niels van Duijkeren , Moritz Diehl

We consider the control of a Markov decision process (MDP) that undergoes an abrupt change in its transition kernel (mode). We formulate the problem of minimizing regret under control-switching based on mode change detection, compared to a…

系统与控制 · 电气工程与系统科学 2022-10-11 Nathan Dahlin , Subhonmesh Bose , Venugopal V. Veeravalli

Depending on energy sources and demand, the carbon intensity of the public power grid fluctuates over time. Exploiting this variability is an important factor in reducing the emissions caused by data centers. However, regional differences…

分布式、并行与集群计算 · 计算机科学 2021-10-27 Philipp Wiesner , Ilja Behnke , Dominik Scheinert , Kordian Gontarska , Lauritz Thamsen

Simulations with an adaptive time-dependent bias, such as metadynamics, enable an efficient exploration of the conformational space of a system. However, the dynamic information of the system is altered by the bias. With infrequent…

For oscillating time series, the prediction is often focused on the turning points. In order to predict the turning point magnitudes and times it is proposed to form the state space reconstruction only from the turning points and modify the…

混沌动力学 · 物理学 2009-11-13 D. Kugiumtzis

Transition State Theory is a central cornerstone in reaction dynamics. Its key step is the identification of a dividing surface that is crossed only once by all reactive trajectories. This assumption is often badly violated, especially when…

化学物理 · 物理学 2015-05-07 F. Revuelta , Thomas Bartsch , R. M. Benito , F. Borondo