Persistent random walks of charged particles across magnetic field lines

Baquero-Ruiz, M.; Fasoli, A.; Furno, I.; Manke, F.; Ricci, Paolo

doi:10.1103/physreve.102.053206

Cited by 2 publications

(1 citation statement)

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“…In biology, random walks were used to describe the movement, the dispersal and the population redistribution of animals and micro-organisms [20]. In chemistry, particle diffusions with the presence of reactions in crowded media were studied by random walk models as well [21], and in physics persistent random walks of charged particles across magnetic field lines have been discussed recently [22].…”

Section: Random Walks 1historymentioning

confidence: 99%

Random walks on quasi-1d infinite structures

Sasom

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In the present thesis a random walk on quasi-1d lattices as a model for transport processes on quasi-1d materials is analytically investigated. The scope of the present work is to shed light on the asymptotic behavior of basic statistical properties of the random walk on such structures�including the first and the second moments of the walker location along the structure axis, the probability of return to the starting site, the probability of ever reach a given site, the conditional mean first-passage time to a given site and the expected number of distinct sites visited. The first part of the thesis deals with developing a method for�obtaining these basic properties by employing the concepts of generating functions and the Fourier-Laplace transform. Based on this developed method, in the remaining parts, the random walks on different quasi-1d lattices, i.e., a perfect-1d lattice,�branched lattices, ladder lattices and�cylindrical lattices, and their feasible applications�are discussed.

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Section: Random Walks 1historymentioning

confidence: 99%