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In olfactory search an immobile target emits chemical molecules at constant rate. The molecules are transported by the medium which is assumed to be turbulent. Considering a searcher able to detect such chemical signals and whose motion…

Statistical Mechanics · Physics 2014-02-12 Juan Duque-Rodríguez , David Gómez-Ullate , Carlos Mejía-Monasterio

The use of autonomous vehicles for chemical source localisation is a key enabling tool for disaster response teams to safely and efficiently deal with chemical emergencies. Whilst much work has been performed on source localisation using…

Robotics · Computer Science 2022-10-05 Callum Rhodes , Cunjia Liu , Paul Westoby , Wen-Hua Chen

Locating the source of odor in a turbulent environment - a common behavior for living organisms - is non-trivial because of the random nature of mixing. Here we analyze the statistical physics aspects of the problem and propose an efficient…

Chaotic Dynamics · Physics 2009-11-07 Eugene Balkovsky , Boris I. Shraiman

We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels -- single-files, comb-like structures and quasi-one-dimensional…

Statistical Mechanics · Physics 2018-11-14 O. Benichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez

We study diffusive lattice gases with local injection of particles, namely we assume that whenever the origin becomes empty, a new particle is immediately injected into the origin. We consider two lattice gases: a symmetric simple exclusion…

Statistical Mechanics · Physics 2014-11-18 P. L. Krapivsky , Darko Stefanovic

The problem of tracking the source of a passive scalar in a turbulent flow is relevant to flying insect behavior and several other applications. Extensive previous work has shown that certain Bayesian strategies, such as "infotaxis," can be…

Fluid Dynamics · Physics 2025-03-07 Robin A. Heinonen , Luca Biferale , Antonio Celani , Massimo Vergassola

Locating and intercepting a moving target from possibly delayed, intermittent sensory signals is a paradigmatic problem in decision-making under uncertainty, and a fundamental challenge for, e.g., animals seeking prey or mates and…

Navigation tasks often cannot be defined in terms of a target, either because global position information is unavailable or unreliable or because target location is not explicitly known a priori. This task is then often defined indirectly…

Optimization and Control · Mathematics 2019-09-18 Bruno A. Angélico , Luiz F. O. Chamon , Santiago Paternain , Alejandro Ribeiro , George J. Pappas

We calculate the diffusion coefficient of an active tracer in a schematic crowded environment, represented as a lattice gas of passive particles with hardcore interactions. Starting from the master equation of the problem, we put forward a…

Statistical Mechanics · Physics 2022-02-02 Pierre Rizkallah , Alessandro Sarracino , Olivier Bénichou , Pierre Illien

This paper proposes an optimal autonomous search framework, namely Dual Control for Exploration and Exploitation (DCEE), for a target at unknown location in an unknown environment. Source localisation is to find sources of atmospheric…

Robotics · Computer Science 2021-06-18 Wen-Hua Chen , Callum Rhodes , Cunjia Liu

We study a two-dimensional diffusive motion of a tracer particle in restricted, crowded anisotropic geometries. The underlying medium is the same as in our previous work [J. Chem. Phys. 140, 044706 (2014)] in which standard, gaussian…

Chemical Physics · Physics 2020-03-17 Michał Cieśla , Bartłomiej Dybiec , Ewa Gudowska-Nowak , Igor Sokolov

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

Statistical Mechanics · Physics 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto

A Bayesian approach is presented for detecting and characterising the signal from discrete objects embedded in a diffuse background. The approach centres around the evaluation of the posterior distribution for the parameters of the discrete…

Astrophysics · Physics 2009-11-07 M. P. Hobson , C. McLachlan

We use a lattice model to study first-passage time distributions of target finding events through complex environments with elongated fibers distributed with different anisotropies and volume occupation fractions. For isotropic systems and…

Statistical Mechanics · Physics 2020-09-10 David Gomez , Eial Teomy , Ayelet Lesman , Yair Shokef

Despite having been studied for decades, first passage processes remain an active area of research. In this contribution we examine a particle diffusing in an annulus with an inner absorbing boundary and an outer reflective boundary. We…

Statistical Mechanics · Physics 2022-10-05 Charles Antoine , Julian Talbot

We study an adaptive source seeking problem, in which a mobile robot must identify the strongest emitter(s) of a signal in an environment with background emissions. Background signals may be highly heterogeneous and can mislead algorithms…

Machine Learning · Computer Science 2020-06-25 Esther Rolf , David Fridovich-Keil , Max Simchowitz , Benjamin Recht , Claire Tomlin

In turbulent flows, tracking the source of a passive scalar cue requires exploiting the limited information that can be gleaned from rare, stochastic encounters with the cue. When crafting a search policy, the most challenging and important…

Fluid Dynamics · Physics 2025-04-10 Robin A. Heinonen , Luca Biferale , Antonio Celani , Massimo Vergassola

The article addresses the problem of detecting presence and location of a small low emission source inside of an object, when the background noise dominates. This problem arises, for instance, in some homeland security applications. The…

Statistics Theory · Mathematics 2015-05-28 Xiaolei Xun , Bani Mallick , Raymond J. Carroll , Peter Kuchment

A diffusive lattice gas is characterized by the diffusion coefficient depending only on the density. The Green-Kubo formula for diffusivity can be represented as a variational formula, but even when the equilibrium properties of a lattice…

Statistical Mechanics · Physics 2017-03-10 Chikashi Arita , P. L. Krapivsky , Kirone Mallick

We study analytically the dynamics and the micro-structural changes of a host medium caused by a driven tracer particle moving in a confined, quiescent molecular crowding environment. Imitating typical settings of active micro-rheology…

Statistical Mechanics · Physics 2016-03-17 O. Bénichou , P. Illien , G. Oshanin , A. Sarracino , R. Voituriez
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