Diffusive transport on networks with stochastic resetting to multiple nodes

نویسندگان

چکیده

We study the diffusive transport of Markovian random walks on arbitrary networks with stochastic resetting to multiple nodes. deduce analytical expressions for stationary occupation probability and mean global first passage times. This general approach allows us characterize effect capacity walk strategies reach a particular target or explore network. Our formalism holds ergodic can be implemented from spectral properties without resetting, providing tool analyze efficiency search apply methods developed here dynamics two reset nodes derive results normal L\'evy flights rings. also comb graph, that visit specific locations in continuous space, Google strategy regular networks.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Diffusion with stochastic resetting.

We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r*. Resetting ...

متن کامل

Route selection for mobile sensor nodes on public transport networks

The sensing range of a sensor is spatially limited. Thus, achieving a good coverage of a large area of interest requires installation of a huge number of sensors which is cost and labor intensive. For example, monitoring air pollution in a city needs a high density of measurement stations installed throughout the area of interest. As alternative, we install a smaller number of mobile sensing no...

متن کامل

Stochastic Networks with Multiple Stable Points

This paper analyzes stochastic networks consisting of a set of finite capacity sites where different classes of individuals move according to some routing policy. The associated Markov jump processes are analyzed under a thermodynamic limit regime, that is, when the networks have some symmetry properties and when the number of nodes goes to infinity. An intriguing stability property is proved: ...

متن کامل

RAWSN: A Routing Algorithm Based on Auxiliary Nodes to Reduce Energy Consumption in Wireless Sensor Networks

In this paper, an algorithm , based on genetics and auxiliary nodes, to reduce energy consumption in wireless sensor networks has been presented. In this research, by considering some parameters as energy and distance, a target function has been created, which is more optimum comparing to other methods. In this research cluster head is selected by genetic algorithm. In RAWSN algorithm a new tec...

متن کامل

Reconstruction of stochastic temporal networks through diffusive arrival times

Temporal networks have opened a new dimension in defining and quantification of complex interacting systems. Our ability to identify and reproduce time-resolved interaction patterns is, however, limited by the restricted access to empirical individual-level data. Here we propose an inverse modelling method based on first-arrival observations of the diffusion process taking place on temporal net...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physical Review E

سال: 2021

ISSN: ['1550-2376', '1539-3755']

DOI: https://doi.org/10.1103/physreve.103.062126