Denis S. Grebenkov, David Holcman, Ralf Metzler
This is the preface to the special issue of the Journal of Physics A: Mathematical and Theoretical, entitled "New trends in first-passage methods and applications in the life sciences and engineering"
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
继续探索
Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system under influence of fluctuations. Statistical distributions that describe the behavior of energy and lifetime are used. Entropy and obtained thermodynamic relations are compared with the results of Extended Irreversible thermodynamics, where as an additional parameter selected fluxes. Explicit expressions are obtained for average lifetime and conjugate thermodynamic quantity. It is shown that, when …
The thermodynamics is studied with the thermodynamic parameter of the lifetime, first-passage time, generalizing the equilibrium thermodynamics. Various ways of describing several stationary nonequilibrium states in the system are considered. The possibilities of increasing the lifetime of the system under external influences on it are investigated.
Lifetime of locally stable states near a phase transition in the Thirring model
本研究通过Fokker-Planck方程和蒙特卡洛模拟，揭示Thirring模型在相变附近局域稳定态的寿命随粒子数指数增长，为长程相互作用系统的亚稳定性提供了新见解。
In this paper, we investigate a Brownian motion (BM) with purely time dependent drift and difusion by suggesting and examining several Brownian functionals which characterize the lifetime and reactivity of such stochastic processes. We introduce several probability distribution functions (PDFs) associated with such time dependent BMs. For instance, for a BM with initial starting point $x_0$, we derive analytical expressions for : (i) the PDF $P(t_f|x_0)$ of the first passage time $t_f$ which specify the lifetime of such stochastic process, (ii) the PDF $P(A|x_0)$ of the area A till the first p…
Thermodynamics with thermodynamic variable first-passage time. I. From stochastic trajectories to nonlinear transport equations
探讨外部非平衡热力学等相结合的理论基础，通过纳入亚稳态随机寿命，将首次通过时间视为宏观坐标，给出微观依据与广义热力学势，推导记忆核结构，进行方法比较分析。
Search and escape of mortal random walkers
本文综述了有限寿命随机行走者在搜索、重置、反常扩散、演化域及窄逃逸等首达问题中的代表性结果，揭示寿命约束如何改变空间探索性质，并指出其数学处理可借鉴无限寿命行走者的形式体系。
We study the first-passage time to the origin of a mortal Brownian particle, with mortality rate $ μ$, diffusing in one dimension. The particle starts its motion from $ x>0 $ and it is subject to stochastic resetting with constant rate $ r $. We first unveil the relation between the probability of reaching the target and the mean first-passage time of the corresponding problem in absence of mortality, which allows us to deduce under which conditions the former can be increased by adjusting the restart rate. We then consider the first-passage time conditioned on the event that the particle reac…
Fick-Jacobs description and first passage dynamics for diffusion in a channel under stochastic resetting
本文将Fick-Jacobs理论扩展到随机重置下的通道扩散输运，推导出首通时间、逃逸概率和平均寿命的精确表达式，证明适当重置率可加速输运并使粒子在通道内的平均寿命最小化，且最优重置率随系统参数变化会发生连续和不连续转变。
Branching under First-Passage Resetting
研究提出一种框架，其中复制事件由首次通过动力学内生产生，而非外部定时器。通过精确的更新方程，展示了随机波动增强生长，且存在产率与延迟的权衡。
We investigate DNA breathing dynamics by suggesting and examining several different Brownian functionals associated with bubble lifetime and reactivity. Bubble dynamics is described as an overdamped random walk in the number of broken base pairs. The walk takes place on the Poland-Scheraga free energy landscape. We suggest several probability distribution functions that characterize the breathing process, and adopt the recently studied backward Fokker-Planck method and the path decomposition method as elegant and flexible tools for deriving these distributions. In particular, for a bubble of a…
A method is proposed to select the suitable sets of potential parameters for a one-dimensional mesoscopic Hamiltonian model, first introduced to describe the DNA melting transition and later extended to investigate thermodynamic and dynamical properties of nucleic acids. The DNA base pair fluctuations are considered as time dependent trajectories whose initial condition sets the no crossing constraint enforced in the path integral for the first-passage probability. Performing the path integration at room temperature, relations are established between the cutoff on the amplitude of the base pai…
Inference from gated first-passage times
针对观测受限或反应门控导致首次通过时间被掩盖的问题，提出无模型框架，由检测时间重建首次通过时间、物理参数及门控速率。
First-passage Fingerprints of Water Diffusion near Glutamine Surfaces
研究水分子在谷氨酰胺表面扩散的动力学，利用分子动力学和首次通过技术提取空间依赖扩散系数，揭示水分子运动与表面化学性质的关系。
Emergence of generic first-passage time distributions for large Markovian networks
研究探讨了大规模马尔可夫网络中首次通过时间分布的通用性，揭示了其与生成矩阵特征值分布的关系，并通过模拟验证了理论分析。
For a random walk on a network, the mean first-passage time from a node $i$ to another node $j$ chosen stochastically according to the equilibrium distribution of Markov chain representing the random walk is called Kemeny constant, which is closely related to the navigability on the network. Thus, the configuration of a network that provides optimal or suboptimal navigation efficiency is a question of interest. It has been proved that complete graphs have the exact minimum Kemeny constant over all graphs. In this paper, by using another method we first prove that complete graphs are the optima…
Detailed knowledge of individual income dynamics is crucial for investigating the existence of the American dream: Are we able to improve our income status during our working life? This key question simply boils down to observing individual status and how it moves between two thresholds: the current income and the desired income. Yet, our knowledge of these temporal properties of income remains limited since we rely on estimates coming from transition matrices which simplify income dynamics by aggregating the individual changes into quantiles and thus overlooking significant microscopic variat…
Before cell division, two identical copies of chromosomes are pulled apart by microtubule (MT) filaments that approach the chromosomes from the opposite poles a mitotic spindle. Connection between the MTs and the chromosomes are mediated by a molecular complex called kinetochore. An externally applied tension can lead to detachment of the MTs from the kinetochore; the mean lifetime of such an attachment is essentially a mean first-passage time. In their in-vitro pioneering single-kinetochore experiments, Akiyoshi et al. (Nature 468, 576 (2010)), observed that the mean lifetimes of reconstitute…
扫码添加微信好友，提出您的宝贵建议 👇
💡 备注请填写：网站反馈
发表机构由 AI 从论文文本抽取，如发现错误，欢迎反馈修正建议。