Self-avoiding random walk: A Brownian motion model with local time drift

1987 ◽  
Vol 74 (2) ◽  
pp. 271-287 ◽  
Author(s):  
J. R. Norris ◽  
L. C. G. Rogers ◽  
David Williams
2018 ◽  
Vol 867 (2) ◽  
pp. 163 ◽  
Author(s):  
Mario Pasquato ◽  
Paolo Miocchi ◽  
Suk-Jin Yoon

1989 ◽  
Vol 03 (14) ◽  
pp. 1093-1099 ◽  
Author(s):  
H. DEKKER

Kramers' Brownian motion model for escape from a metastable potential well is reconsidered in terms of the particle's energy and the action variable near the peak of the barrier. The pertinent phase space density ρ(ε, s) is uniquely determined (i) by means of a spectral analysis and (ii) upon specifying the energy distribution of (re-)entering particles. The ensuing decay rate Γ goes to zero in the low as well as in the high friction limit according to Kramers' original formulae. The nature of the intermediate turnover regime is critically discussed — and a comparison with related recent work by Büttiker, Harris and Landauer, Mel'nikov and Meshkov, and Grabert is made — while a problem with the underlying density is pointed out.


2019 ◽  
Vol 72 (1 suppl 1) ◽  
pp. 9-15 ◽  
Author(s):  
André Lubene Ramos ◽  
Douglas Batista Mazzinghy ◽  
Viviane da Silva Borges Barbosa ◽  
Michel Melo Oliveira ◽  
Gilberto Rodrigues da Silva

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