Experimental Realization of Diffusion with Stochastic Resetting

The Journal of Physical Chemistry Letters, Год журнала: 2020, Номер 11(17), С. 7350 - 7355

Опубликована: Авг. 12, 2020

Stochastic resetting is prevalent in natural and man-made systems, giving rise to a long series of nonequilibrium phenomena. Diffusion with stochastic serves as paradigmatic model study these phenomena, but the lack well-controlled platform by which this process can be studied experimentally has been major impediment research field. Here, we report experimental realization colloidal particle diffusion via holographic optical tweezers. We provide first corroboration central theoretical results go on measure energetic cost steady-state first-passage scenarios. In both cases, show that cannot made arbitrarily small because fundamental constraints realistic protocols. The methods developed herein open door future phenomena beyond diffusion.

Язык: Английский

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Patterning of the cell cortex by Rho GTPases

Nature Reviews Molecular Cell Biology, Год журнала: 2024, Номер 25(4), С. 290 - 308

Опубликована: Янв. 3, 2024

Язык: Английский

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Resetting processes with noninstantaneous return

Physical review. E, Год журнала: 2020, Номер 101(5)

Опубликована: Май 20, 2020

We consider a random two-phase process which we call reset-return one. The particle starts its motion at the origin. first, displacement, phase corresponds to stochastic of and is finished resetting event. second, return, particle's toward origin from position it attained end displacement phase. This takes place according given equation motion. whole renewal provide general expressions for stationary probability density function mean hitting time in one dimension. perform explicit analysis Brownian during three different types return motion: constant speed, acceleration with zero initial under action harmonic force. assume that waiting times events follow an exponential distribution or after fixed period. For first two resetting, invariant speed (acceleration), while no such invariance found deterministic discuss necessary conditions PDF positions respect properties process, demonstrate some additional examples when this does not take place.

Язык: Английский

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Work Fluctuations and Jarzynski Equality in Stochastic Resetting

Physical Review Letters, Год журнала: 2020, Номер 124(11)

Опубликована: Март 20, 2020

We consider the paradigm of an overdamped Brownian particle in a potential well, which is modulated through external protocol, presence stochastic resetting. Thus, addition to short range diffusive motion, also experiences intermittent long jumps that reset back at preferred location. Due modulation trap, work done on system and we investigate statistical properties fluctuations. find distribution function typically, asymptotic times, converges universal Gaussian form for any protocol as renewed after each resetting event. When observed finite time, show does not generically obey Jarzynski equality connects time fluctuations difference free energy. Nonetheless, identify herein restricted set protocols embraces relation. In stark contrast, always fulfilled when continue evolve without being reset. present exactly solvable models, demonstrate validation our theory carry out numerical simulations illustrate these findings. Finally, have pointed possible realistic implementations experiments using so-called engineered swift equilibration.

Язык: Английский

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Diffusion with resetting in a logarithmic potential

The Journal of Chemical Physics, Год журнала: 2020, Номер 152(23)

Опубликована: Июнь 17, 2020

We study the effect of resetting on diffusion in a logarithmic potential. In this model, particle diffusing potential $U(x) = U_0\log|x|$ is reset, i.e., taken back to its initial position, with constant rate $r$. show that analytically tractable model system exhibits series phase transitions as function single parameter, $\beta U_0$, ratio strength thermal energy. For U_0<-1$ strongly repulsive, preventing from reaching origin. Resetting then generates non-equilibrium steady state which characterized exactly and thoroughly analyzed. contrast, for U_0>-1$ either weakly repulsive or attractive eventually reaches case, we provide closed form expression subsequent first-passage time distribution transition occurs at U_0=5$. Namely, find can expedite arrival origin when $-1<\beta U_0<5$, but not U_0>5$. The results presented herein generalize simple -- widely applicable obtained ours by setting $U_0=0$. Extending general strengths, our work opens door theoretical experimental investigation plethora problems bring together

Язык: Английский

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The inspection paradox in stochastic resetting

Journal of Physics A Mathematical and Theoretical, Год журнала: 2021, Номер 55(2), С. 021001 - 021001

Опубликована: Ноя. 24, 2021

Abstract The remaining travel time of a plane shortens with every minute that passes from its departure, and flame diminishes candle second it burns. Such everyday occurrences bias us to think processes which have already begun will end before those just started. Yet, the inspection paradox teaches converse can also happen when randomness is at play. comes probability theory, where often illustrated by measuring how long passengers wait upon arriving bus stop random time. Interestingly, such may on average longer than mean between arrivals—a counter-intuitive result, since one expects less coming some after previous departed. In this viewpoint , we review origins. insight gained then used explain why, under conditions, stochastic resetting expedites completion processes. Importantly, done elementary mathematical tools help develop probabilistic intuition for works. This thus be as an accessible introduction subject.

Язык: Английский

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Landau-like expansion for phase transitions in stochastic resetting

Physical Review Research, Год журнала: 2019, Номер 1(3)

Опубликована: Окт. 7, 2019

This paper unveils a connection between stochastic resetting and the canonical phase transitions in equilibrium statistical physics. Adopting Landau-like expansion for mean completion time of first passage process, authors characterize order transitions, critical points exponents. A relation criterion benefits restart emerges as corollary.

Язык: Английский

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Distinct RhoGEFs Activate Apical and Junctional Contractility under Control of G Proteins during Epithelial Morphogenesis

Current Biology, Год журнала: 2019, Номер 29(20), С. 3370 - 3385.e7

Опубликована: Сен. 12, 2019

Small RhoGTPases direct cell shape changes and movements during tissue morphogenesis. Their activities are tightly regulated in space time to specify the desired pattern of actomyosin contractility that supports This is expected stem from polarized surface stimuli signaling processing inside cells. We examined this general problem context intercalation drives extension Drosophila ectoderm. In ectoderm, G protein-coupled receptors (GPCRs) their downstream heterotrimeric proteins (Gα Gβγ) activate Rho1 both medial-apically, where it exhibits pulsed dynamics, at junctions, its activity planar polarized. However, mechanisms responsible for polarizing unclear. report distinct guanine exchange factors (GEFs) these two cellular compartments. RhoGEF2 acts uniquely medial-apical but recruited medial-apically junctions by Gα12/13-GTP, also called Concertina (Cta) Drosophila. On other hand, Dp114RhoGEF (Dp114), a newly characterized RhoGEF, required extending activates specifically junctions. Its localization restricted adherens under Gβ13F/Gγ1 control. Furthermore, junctional exerts quantitative control over polarization Rho1. Finally, we found absent mesoderm, arguing tissue-specific activity. These results clarify different compartments reveal GEFs sensitive tuning parameters remodeling epithelia.

Язык: Английский

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First passage under restart for discrete space and time: Application to one-dimensional confined lattice random walks

Physical review. E, Год журнала: 2021, Номер 103(5)

Опубликована: Май 24, 2021

First passage under restart has recently emerged as a conceptual framework to study various stochastic processes mechanism. Emanating from the canonical diffusion problem by Evans and Majumdar, been shown outperform completion of many first which otherwise would take longer time finish. However, most studies so far assumed continuous underlying moreover considered resetting restricting out broken up into synchronized steps. To bridge this gap, in paper, we discrete space general set-up. We sketch steps compute moments probability density function is often intractable restarted process. A criterion that dictates when remains beneficial then derived. apply our results symmetric biased random walker (RW) one dimensional lattice confined within two absorbing boundaries. Numerical simulations are found be excellent agreement with theoretical results. Our method can useful understand effect on spatiotemporal dynamics walks arbitrary dimensions.

Язык: Английский

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Mechanotransduction activates RhoA in the neighbors of apoptotic epithelial cells to engage apical extrusion

Current Biology, Год журнала: 2021, Номер 31(6), С. 1326 - 1336.e5

Опубликована: Фев. 15, 2021

Язык: Английский

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