Nonlinear walkers and efficient exploration of congested networks
نویسندگان
چکیده
منابع مشابه
Exploration and trapping of mortal random walkers.
Exploration and trapping properties of random walkers that may evanesce at any time as they walk have seen very little treatment in the literature, and yet a finite lifetime is a frequent occurrence, and its effects on a number of random walk properties may be profound. For instance, whereas the average number of distinct sites visited by an immortal walker grows with time without bound, that o...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولAnalysis of Congested Networks
Transport systems are full of interactions between the demand for travel and the supply costs. As the demand increases, congestion builds up in the network and the costs of travel increases. In response to increased costs of travel, people may alter their demand for travel in terms of change of route, departure-time, mode, or choose not to travel. This demand/supply interaction enables an econo...
متن کاملMaze Exploration with Molecular-Scale Walkers
Molecular spiders are nanoscale walkers made with catalytic DNA legs attached to a rigid body. They move in a matrix of DNA substrates, cleaving them and leaving behind product DNA strands. Unlike a self-avoiding walker, a spider is able to revisit the products. However, the legs cleave and detach from substrates more slowly than they detach from products. This difference in residence time and ...
متن کاملArrival Statistics and Exploration Properties of Mortal Walkers
We study some of the salient features of the arrival statistics and exploration properties of mortal random walkers, that is, walkers that may die as they move, or as they wait to move. Such evanescence or death events have profound consequences for quantities such as the number of distinct sites visited which are relevant for the computation of encountercontrolled rates in chemical kinetics. W...
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ژورنال
عنوان ژورنال: Physical Review Research
سال: 2020
ISSN: 2643-1564
DOI: 10.1103/physrevresearch.2.033012