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):  
2021 ◽  
Vol 12 (1) ◽  
Author(s):  
A. Militaru ◽  
M. Innerbichler ◽  
M. Frimmer ◽  
F. Tebbenjohanns ◽  
L. Novotny ◽  
...  

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.


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

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

2018 ◽  
Author(s):  
Bryan C. Daniels ◽  
William S. Ryu ◽  
Ilya Nemenman

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.


2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Yan-Chao Zhang ◽  
Yue Jian ◽  
Zi-Fa Yu ◽  
Ai-Xia Zhang ◽  
Ju-Kui Xue

2011 ◽  
Vol 13 (2) ◽  
pp. 023006 ◽  
Author(s):  
C Petri ◽  
S Meyer ◽  
F Lenz ◽  
P Schmelcher

2011 ◽  
Vol 17 (1) ◽  
pp. 123-142 ◽  
Author(s):  
Michele Berardi

In his monographThe Conquest of American Inflation(Princeton, NJ: Princeton University Press, 1999), Sargent suggests that the sharp reduction in U.S. inflation that took place under Volker may vindicate the type of econometric policy evaluation famously criticized by Lucas (Carnegie–Rochester Conference Series on Public Policy, 19–46, 1976). At the core of this vindication story is the escape dynamics, recurrent sliding away from the path leading to the time-consistent suboptimal equilibrium level of inflation and toward the low-inflation, optimal, time-inconsistent Ramsey outcome: by recurrently estimating a reduced-form model, in fact, the policy maker could periodically learn an approximate version of the natural rate hypothesis and therefore be induced to disinflate the economy. Two elements seem important in this story: the type of model used by the policy maker to represent the economy, whether structural or reduced-form, and the policy specification, whether derived taking the private sector's expectations as given or as endogenous to the policy design. Although Sargent (1999) stresses the first element, we find that it is instead the second aspect that is crucial to generate recurrent periods of low inflation: the policy maker has to recognize the endogeneity of the private sector's expectations and refrain from exploiting ephemeral short-run trade-offs between inflation and unemployment.


2020 ◽  
Vol 17 (168) ◽  
pp. 20200077 ◽  
Author(s):  
Quentin Roveillo ◽  
Julien Dervaux ◽  
Yuxuan Wang ◽  
Florence Rouyer ◽  
Drazen Zanchi ◽  
...  

Massive foam formation in aquatic environments is a seasonal event that has a significant impact on the stability of marine ecosystems. Liquid foams are known to filter passive solid particles, with large particles remaining trapped by confinement in the network of liquid channels and small particles being freely advected by the gravity-driven flow. By contrast, the potential role of a similar retention effect on biologically active particles such as phytoplankton cells is still relatively unknown. To assess if phytoplankton cells are passively advected through a foam, the model unicellular motile alga Chlamydomonas reinhardtii (CR) was incorporated in a bio-compatible foam, and the number of cells escaping the foam at the bottom was measured in time. Comparing the escape dynamics of living and dead CR cells, we found that dead cells are totally advected by the liquid flow towards the bottom of the foam, as expected since the diameter of CR remains smaller than the typical foam channel diameter. By contrast, living motile CR cells escape the foam at a significantly lower rate: after 2 hours, up to 60% of the injected cells may remain blocked in the foam, while 95% of the initial liquid volume in the foam has been drained out of the foam. Microscopic observation of the swimming CR cells in a chamber mimicking the cross-section of foam internal channels revealed that swimming CR cells accumulate near channels corners. A theoretical analysis based on the probability density measurements in the micro chambers has shown that this trapping at the microscopic scale contributes to explain the macroscopic retention of the microswimmers in the foam. At the crossroads of distinct fields including marine ecology of planktonic organisms, fluid dynamics of active particles in a confined environment and the physics of foam, this work represents a significant step in the fundamental understanding of the ecological consequences of aquatic foams in water bodies.


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