Master equation versus random walk approaches to phenomena far from equilibrium

1989 ◽  
Vol 193 (1) ◽  
pp. 252
Keyword(s):  
Random Walk ◽  
Master Equation ◽  
Equation Versus ◽  
Far From Equilibrium

Random walk versus discrete master equation for nuclear heavy ions: Theoretical and experimental distinctions

1984 ◽  
Vol 424 (2) ◽  
pp. 335-364 ◽  
Author(s):  
B. Miller ◽  
A.H. Blin ◽  
M. Dworzecka ◽  
J.J. Griffin
Keyword(s):  
Random Walk ◽  
Master Equation ◽  
Heavy Ions

Bistable systems: Master equation versus Fokker-Planck modeling

1984 ◽  
Vol 29 (1) ◽  
pp. 371-378 ◽  
Author(s):  
Peter Hanggi ◽  
Hermann Grabert ◽  
Peter Talkner ◽  
Harry Thomas
Keyword(s):  
Master Equation ◽  
Bistable Systems ◽  
Equation Versus ◽  
Fokker Planck

Generalised master equation of random walk in a random medium

1982 ◽  
Vol 48 (4) ◽  
pp. 351-354 ◽  
Author(s):  
Vipin Srivastava ◽  
Meena Chaturvedi
Keyword(s):  
Random Walk ◽  
Master Equation ◽  
Random Medium

scholarly journals A master equation for spin systems far from equilibrium

2020 ◽  
Vol 310 ◽  
pp. 106645 ◽  
Author(s):  
Christian Bengs ◽  
Malcolm H. Levitt
Keyword(s):  
Master Equation ◽  
Spin Systems ◽  
Far From Equilibrium

scholarly journals Optimal Random Search, Fractional Dynamics and Fractional Calculus

2013 ◽  
Author(s):  
Caibin Zeng ◽  
YangQuan Chen
Keyword(s):  
Random Walk ◽  
Fractional Calculus ◽  
Master Equation ◽  
Continuous Time ◽  
Search Strategy ◽  
Random Search ◽  
Fractional Dynamics ◽  
Learning Abilities ◽  
Target Sites ◽  
Non Destructive

What is the most efficient search strategy for the random located target sites subject to the physical and biological constraints? Previous results suggested the Levy flight is the best option to characterize this optimal problem, however, which ignores the understanding and learning abilities of the searcher agents. In the paper we propose the Continuous Time Random Walk (C-TRW) optimal search framework and find the optimum for both of search length’s and waiting time’s distributions. Based on fractional calculus technique, we further derive its master equation to show the mechanism of such complex fractional dynamics. Numerous simulations are provided to illustrate the non-destructive and destructive cases.

Sign in / Sign up

Export Citation Format

Share Document