We consider a new type of anomalous transport in the particular type of continuous time random walk
(CTRW) in the stochastic process where the particle have interaction with its environment and may behave
unexpectedly more random or more stable. The process that was utilized in this study uses the integrated
Brownian motion subordinated by an inverse α-stable subordinator. The proposed new process has
external field which causes the two most probable points to have another point between them and we
termed it as anomalous jump. We compute the time-scale for the mean squared displacement of the usual
continuous time random walk (CTRW) and the anomalous jump. Furthermore, as expected, the time scale
for the anomalous jump exhibits an interaction with its environment when there is an imposed memory
kernel function. Lastly, using the time scale obtained for the MSD of the anomalous jump, we have
generalized the external drift force field on the coupled Langevin equation obtained by Fogedby.
%0 Journal Article
%1 noauthororeditor
%A Rangaig Norodin A, Peñonal Grema Fe I, Convicto Vernie C
%D 2018
%J International Journal of Modelling, Simulation and Applications (IJMSA)
%K Anomalous Brownian Caputo Derivative. Fractional Integrated Motion Processes Stochastic diffusions
%N Number 1
%P 01-08
%T MODELLING ANOMALOUS TRANSPORT WITH
EXTERNAL FIELD BY INTEGRATED
SUBORDINATED BROWNIAN MOTION
%U http://airccse.com/ijmas/papers/2118ijmsa01.pdf
%V Volume 2
%X We consider a new type of anomalous transport in the particular type of continuous time random walk
(CTRW) in the stochastic process where the particle have interaction with its environment and may behave
unexpectedly more random or more stable. The process that was utilized in this study uses the integrated
Brownian motion subordinated by an inverse α-stable subordinator. The proposed new process has
external field which causes the two most probable points to have another point between them and we
termed it as anomalous jump. We compute the time-scale for the mean squared displacement of the usual
continuous time random walk (CTRW) and the anomalous jump. Furthermore, as expected, the time scale
for the anomalous jump exhibits an interaction with its environment when there is an imposed memory
kernel function. Lastly, using the time scale obtained for the MSD of the anomalous jump, we have
generalized the external drift force field on the coupled Langevin equation obtained by Fogedby.
@article{noauthororeditor,
abstract = {We consider a new type of anomalous transport in the particular type of continuous time random walk
(CTRW) in the stochastic process where the particle have interaction with its environment and may behave
unexpectedly more random or more stable. The process that was utilized in this study uses the integrated
Brownian motion subordinated by an inverse α-stable subordinator. The proposed new process has
external field which causes the two most probable points to have another point between them and we
termed it as anomalous jump. We compute the time-scale for the mean squared displacement of the usual
continuous time random walk (CTRW) and the anomalous jump. Furthermore, as expected, the time scale
for the anomalous jump exhibits an interaction with its environment when there is an imposed memory
kernel function. Lastly, using the time scale obtained for the MSD of the anomalous jump, we have
generalized the external drift force field on the coupled Langevin equation obtained by Fogedby.
},
added-at = {2018-08-06T07:36:50.000+0200},
author = {{Rangaig Norodin A, Peñonal Grema Fe I}, Convicto Vernie C},
biburl = {https://www.bibsonomy.org/bibtex/2115132d3c6aada3d0c13444ac1e0192a/sarin},
interhash = {7a10aba2433f2cda9688301cb3eef04e},
intrahash = {115132d3c6aada3d0c13444ac1e0192a},
journal = {International Journal of Modelling, Simulation and Applications (IJMSA)},
keywords = {Anomalous Brownian Caputo Derivative. Fractional Integrated Motion Processes Stochastic diffusions},
language = {english},
month = {july},
number = { Number 1},
pages = {01-08},
timestamp = {2018-08-06T07:36:50.000+0200},
title = {MODELLING ANOMALOUS TRANSPORT WITH
EXTERNAL FIELD BY INTEGRATED
SUBORDINATED BROWNIAN MOTION},
url = {http://airccse.com/ijmas/papers/2118ijmsa01.pdf},
volume = {Volume 2},
year = 2018
}