scholarly journals Exponential decay of spatial correlation in driven diffusive system: A universal feature of macroscopic homogeneous state

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Qing-Yi Hao ◽  
Rui Jiang ◽  
Mao-Bin Hu ◽  
Bin Jia ◽  
Wen-Xu Wang
Keyword(s):  
Spatial Correlation ◽  
Exponential Decay ◽  
Homogeneous State ◽  
System A ◽  
Driven Diffusive System ◽  
Universal Feature ◽  
Diffusive System

Renormalization-group study of a hybrid driven diffusive system

1994 ◽  
Vol 49 (5) ◽  
pp. 3614-3618 ◽  
Author(s):  
K. E. Bassler ◽  
B. Schmittmann
Keyword(s):  
Renormalization Group ◽  
Driven Diffusive System ◽  
Diffusive System

EFFECT OF CROSS-DIFFUSION ON A DIFFUSIVE PREY-PREDATOR SYSTEM—A NONLINEAR ANALYSIS

1996 ◽  
Vol 04 (02) ◽  
pp. 159-169 ◽  
Author(s):  
J. CHATTOPADHYAY ◽  
A.K. SARKAR ◽  
P.K. TAPASWI
Keyword(s):  
Nonlinear Analysis ◽  
Dissipative Structure ◽  
Wave Length ◽  
Liapunov Function ◽  
Local Instability ◽  
Cross Diffusion ◽  
Global Behaviour ◽  
System A ◽  
Predator System ◽  
Diffusive System

In this paper, we show that a simple prey-predator diffusive system may give rise to spontaneous emergence of dissipative structure (patchiness) only in the presence of cross-diffusion. The critical wave-length just sufficient to drive the system to local instability has been worked out. Moreover, by constructing a suitable Liapunov function, we have also investigated the global behaviour of the dissipative structure.

scholarly journals Onset of criticality and transport in a driven diffusive system

1997 ◽  
Vol 55 (3) ◽  
pp. R2085-R2088 ◽  
Author(s):  
Mária Markosová ◽  
Mogens H. Jensen ◽  
Kent B Lauritsen ◽  
Kim Sneppen
Keyword(s):  
Driven Diffusive System ◽  
Diffusive System
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