Escape dynamics and equilibria selection by iterative cycle decomposition

2010 ◽  
Vol 46 (6) ◽  
pp. 1015-1029 ◽  
Author(s):  
Zhiwei Cui ◽  
Jian Zhai
Keyword(s):  
Cycle Decomposition ◽  
Escape Dynamics

scholarly journals Escape dynamics of active particles in multistable potentials

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
A. Militaru ◽  
M. Innerbichler ◽  
M. Frimmer ◽  
F. Tebbenjohanns ◽  
L. Novotny ◽  
...  
Keyword(s):  
Transition State Theory ◽  
Silica Nanoparticle ◽  
State Theory ◽  
Biological Processes ◽  
Correlated Noise ◽  
Stochastic Force ◽  
Escape Dynamics ◽  
Active Particles ◽  
Bistable Potential ◽  
Quantitative Understanding

AbstractRare transitions between long-lived metastable states underlie a great variety of physical, chemical and biological processes. Our quantitative understanding of reactive mechanisms has been driven forward by the insights of transition state theory and in particular by Kramers’ dynamical framework. Its predictions, however, do not apply to systems that feature non-conservative forces or correlated noise histories. An important class of such systems are active particles, prominent in both biology and nanotechnology. Here, we study the active escape dynamics of a silica nanoparticle trapped in a bistable potential. We introduce activity by applying an engineered stochastic force that emulates self-propulsion. Our experiments, supported by a theoretical analysis, reveal the existence of an optimal correlation time that maximises the transition rate. We discuss the origins of this active turnover, reminiscent of the much celebrated Kramers turnover. Our work establishes a versatile experimental platform to study single particle dynamics in non-equilibrium settings.

scholarly journals Entrance and escape dynamics for the typical set

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Schuyler B. Nicholson ◽  
Jonah S. Greenberg ◽  
Jason R. Green
Keyword(s):  
Escape Dynamics

scholarly journals Escape dynamics through a continuously growing leak

2017 ◽  
Vol 95 (6) ◽  
Author(s):  
Tamás Kovács ◽  
József Vanyó
Keyword(s):  
Escape Dynamics

scholarly journals Escape dynamics of many hard disks

2014 ◽  
Vol 90 (5) ◽  
Author(s):  
Tooru Taniguchi ◽  
Hiroki Murata ◽  
Shin-ichi Sawada
Keyword(s):  
Hard Disks ◽  
Escape Dynamics

scholarly journals Automated, predictive, and interpretable inference of C. elegans escape dynamics

2018 ◽  
Author(s):  
Bryan C. Daniels ◽  
William S. Ryu ◽  
Ilya Nemenman
Keyword(s):  
Artificial Intelligence ◽  
Escape Response ◽  
Escape Behavior ◽  
Dynamical Variable ◽  
Motor Systems ◽  
Natural Systems ◽  
C Elegans ◽  
Escape Dynamics ◽  
Functional Logic ◽  
Interpretable Models

AbstractThe roundworm C. elegans exhibits robust escape behavior in response to rapidly rising temperature. The behavior lasts for a few seconds, shows history dependence, involves both sensory and motor systems, and is too complicated to model mechanistically using currently available knowledge. Instead we model the process phenomenologically, and we use the Sir Isaac dynamical inference platform to infer the model in a fully automated fashion directly from experimental data. The inferred model requires incorporation of an unobserved dynamical variable, and is biologically interpretable. The model makes accurate predictions about the dynamics of the worm behavior, and it can be used to characterize the functional logic of the dynamical system underlying the escape response. This work illustrates the power of modern artificial intelligence to aid in discovery of accurate and interpretable models of complex natural systems.

scholarly journals On the Correspondence between Data Revision and Trend-Cycle Decomposition

2012 ◽  
Author(s):  
Mardi H. Dungey ◽  
Jan P. A. M. Jacobs ◽  
Jing Tian ◽  
Simon van Norden
Keyword(s):  
Cycle Decomposition ◽  
Data Revision

Environment-Based Life Cycle Decomposition (eLCD): Adaptation of EBD to Sustainable Design

2021 ◽  
pp. 1-24
Author(s):  
Jiami Yang ◽  
Yong Zeng ◽  
Stephen Ekwaro-Osire ◽  
Abraham Nispel ◽  
Hua Ge
Keyword(s):  
Decision Making ◽  
Life Cycle ◽  
Sustainable Design ◽  
Storage System ◽  
Energy Storage System ◽  
Three Dimensions ◽  
Analysis Tool ◽  
Design Decision ◽  
Cycle Decomposition ◽  
Efficient Tool

As sustainability becomes increasingly important, product design is taking a proactive role in producing products that are both useful and sustainable. This paper introduces and discusses a tool named Environment-based life cycle decomposition (eLCD) to adapt the Environment-based Design (EBD) methodology to sustainable design. The eLCD brings to EBD three major features: 1) a holistic environment structure for sustainable conceptual design, 2) an effective and efficient tool for collecting information for sustainability decision-making, and 3) an analysis tool that takes sustainability as an integral part of the design rather than as a burden. The environment of a product is everything except the product itself, which can be defined in three dimensions, namely, environment types, life cycle events, and life cycle time. The environment types are designated as natural, built (including physical artifact and digital artifact), economic, and social environment. The eLCD provides an effective template for information collection to support the design decision-making process. The effectiveness of eLCD is demonstrated by its application to the upscaling of a wind turbine, where an energy storage system is introduced to make full use of wind energy with the least waste in serving the electricity demand.

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