Establishing the kinetics of ballistic-to-diffusive transition using directional statistics

Physical Review. E
Pai LiuRajan K Chakrabarty

Abstract

We establish the kinetics of ballistic-to-diffusive (BD) transition observed in two-dimensional random walk using directional statistics. Directional correlation is parameterized using the walker's turning angle distribution, which follows the commonly adopted wrapped Cauchy distribution (WCD) function. During the BD transition, the concentration factor (ρ) governing the WCD shape is observed to decrease from its initial value. We next analytically derive the relationship between effective ρ and time, which essentially quantifies the BD transition rate. The prediction of our kinetic expression agrees well with the empirical datasets obtained from correlated random walk simulation. We further connect our formulation with the conventionally used scaling relationship between the walker's mean-square displacement and time.

References

Dec 13, 1993·Physical Review Letters·T H SolomonH L Swinney
Nov 28, 1994·Physical Review Letters·R N Mantegna, H E Stanley
Dec 9, 2008·Proceedings of the National Academy of Sciences of the United States of America·Wayne M Getz, David Saltz
May 22, 2010·Science·Tongcang LiMark G Raizen
Mar 17, 2011·Physical Review Letters·Jae-Hyung JeonRalf Metzler
May 14, 2011·Science·Peter N Pusey
Mar 14, 2013·Reports on Progress in Physics·Felix Höfling, Thomas Franosch
Nov 20, 2013·Proceedings of the National Academy of Sciences of the United States of America·Stanislav BurovAaron R Dinner
Oct 30, 2015·Reports on Progress in Physics·Carlo Manzo, Maria F Garcia-Parajo

❮ Previous
Next ❯

Citations

May 6, 2019·Journal of Colloid and Interface Science·Pai LiuRajan K Chakrabarty

❮ Previous
Next ❯

Related Concepts

Related Feeds

Blood And Marrow Transplantation

The use of hematopoietic stem cell transplantation or blood and marrow transplantation (bmt) is on the increase worldwide. BMT is used to replace damaged or destroyed bone marrow with healthy bone marrow stem cells. Here is the latest research on bone and marrow transplantation.

B-Cell Lymphoma

B-cell lymphomas include lymphomas that affect B cells. This subtype of cancer accounts for over 80% of non-Hodgkin lymphomas in the US. Here is the latest research.

Bipolar Disorder

Bipolar disorder is characterized by manic and/or depressive episodes and associated with uncommon shifts in mood, activity levels, and energy. Discover the latest research this illness here.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Marco DentzJesus Carrera
Hospital Management
O MOHR
© 2022 Meta ULC. All rights reserved