Universality of stretched Gaussian asymptotic diffusion behavior on biased heterogeneous fractal structure in external force fields☆

2005 ◽  
Vol 24 (1) ◽  
pp. 273-278 ◽  
Author(s):  
F REN ◽  
Y XU ◽  
W QIU ◽  
J LIANG
Keyword(s):  
External Force ◽  
Fractal Structure ◽  
Force Fields ◽  
Diffusion Behavior

Fractional Giona-Roman Equation on Heterogeneous Fractal Structures in External Force Fields and Its Solutions

2003 ◽  
Author(s):  
Fu-Yao Ren ◽  
Jin-Rong Liang ◽  
Wei-Yuan Qiu ◽  
Yun Xu
Keyword(s):  
Stationary Solution ◽  
External Force ◽  
Fractal Structure ◽  
Force Fields ◽  
Boltzmann Distribution ◽  
Einstein Relation ◽  
Fractal Structures ◽  
Similarity Variable ◽  
Dimensionless Similarity ◽  
Generalized Einstein Relation

We introduce a heterogeneous fractional Giona-Roman equation (HFGRE) on heterogeneous fractal structure media describing systems involving external force fields. The HFGRE is shown to obey generalized Einstein relation, and its stationary solution is the Boltzmann distribution. It is proved that the asyrnptotic shape of its solution is a stretched Gaussian and that its solution can be expressed in the form of a function of a dimensionless similarity variable for the case of constant potentials, linear potentials, harmonic potentials, analytic potentials, logarithm potentials and generic potentials.

Heterogeneous Memorized Continuous Time Random Walks in an External Force Fields

2014 ◽  
Vol 156 (6) ◽  
pp. 1111-1124 ◽  
Author(s):  
Jun Wang ◽  
Ji Zhou ◽  
Long-Jin Lv ◽  
Wei-Yuan Qiu ◽  
Fu-Yao Ren
Keyword(s):  
Random Walks ◽  
External Force ◽  
Continuous Time ◽  
Force Fields ◽  
Continuous Time Random Walks

Kinetics of Particle Transport to a Solid Surface from an Impinging Jet under Surface and External Force Fields

1998 ◽  
Vol 208 (1) ◽  
pp. 226-240 ◽  
Author(s):  
Chun Yang ◽  
Tadeusz Dabros ◽  
Dongqing Li ◽  
Jan Czarnecki ◽  
Jacob H. Masliyah
Keyword(s):  
External Force ◽  
Solid Surface ◽  
Particle Transport ◽  
Force Fields ◽  
Impinging Jet ◽  
Kinetics Of

Normal Mode Spectrum of Fe(PPIX)Cl in the Presence of External Force Fields

2010 ◽  
Author(s):  
Alexander Demidov ◽  
Paul M. Champion ◽  
P. M. Champion ◽  
L. D. Ziegler
Keyword(s):  
Normal Mode ◽  
External Force ◽  
Force Fields ◽  
Mode Spectrum

scholarly journals Comparison and maximum principles for a class of flux-limited diffusions with external force fields

2016 ◽  
Vol 5 (2) ◽  
Author(s):  
Manh Hong Duong
Keyword(s):  
Maximum Principle ◽  
External Force ◽  
Force Fields ◽  
Gradient Flow ◽  
Strong Maximum Principle ◽  
Maximum Principles ◽  
Finite Speed Of Propagation ◽  
Finite Speed ◽  
Transportation Theory ◽  
Speed Of Propagation

AbstractIn this paper, we are interested in a general equation that has finite speed of propagation compatible with Einstein's theory of special relativity. This equation without external force fields has been derived recently by means of optimal transportation theory. We first provide an argument to incorporate the external force fields. Then, we are concerned with comparison and maximum principles for this equation. We consider both stationary and evolutionary problems. We show that the former satisfies a comparison principle and a strong maximum principle while the latter fulfils weaker ones. The key technique is a transformation that matches well with the gradient flow structure of the equation.

Sign in / Sign up

Export Citation Format

Share Document