TY - JOUR
T1 - A heavy ion in a fluid in presence of an electromagnetic field seen as an ordinary Brownian motion
AU - Jiménez-Aquino, J. I.
AU - Romero-Bastida, M.
N1 - Funding Information:
Financial support from Consejo Nacional de Ciencia y Tecnología (CONACYT) México is acknowledged. One of the authors (J.I.J.A.) wishes to thank Coloma, Colomita and Cheney for their valuable support.
PY - 2007/12/1
Y1 - 2007/12/1
N2 - An alternative method of how to characterize, at equilibrium, the diffusion process of a Brownian charged particle (heavy ion) in a fluid in presence of an electromagnetic field is presented. The theory is formulated via a Langevin equation associated with the ion's velocity vector, which is transformed to another velocity-space in which the diffusion process is quite similar to that of the ordinary Brownian motion. The diffusion process is characterized, in absence and in presence of the electric field, through the mean square displacement in the transformed configuration-space and then returned to the original variables, by means of the corresponding transformation. Under the action of the electric field, the diffusion process is studied for a general time-dependent electric field. Explicit results are obtained for a constant and oscillating electric field.
AB - An alternative method of how to characterize, at equilibrium, the diffusion process of a Brownian charged particle (heavy ion) in a fluid in presence of an electromagnetic field is presented. The theory is formulated via a Langevin equation associated with the ion's velocity vector, which is transformed to another velocity-space in which the diffusion process is quite similar to that of the ordinary Brownian motion. The diffusion process is characterized, in absence and in presence of the electric field, through the mean square displacement in the transformed configuration-space and then returned to the original variables, by means of the corresponding transformation. Under the action of the electric field, the diffusion process is studied for a general time-dependent electric field. Explicit results are obtained for a constant and oscillating electric field.
KW - Brownian motion
KW - Langevin equation
KW - Mean square displacements
KW - Stochastic processes
UR - http://www.scopus.com/inward/record.url?scp=35148883377&partnerID=8YFLogxK
U2 - 10.1016/j.physa.2007.08.008
DO - 10.1016/j.physa.2007.08.008
M3 - Artículo
SN - 0378-4371
VL - 386
SP - 63
EP - 72
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1
ER -