Theoretical study of the field-induced pattern formation in magnetic liquids

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
J. Richardi ◽  
D. Ingert ◽  
M. P. Pileni
Keyword(s):  
Pattern Formation ◽  
Theoretical Study ◽  
Magnetic Liquids

scholarly journals Theoretical Study on Self-Organization of Vegetation Patterns Triggered by Water Resource in Deposited Sediment Layer

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Tousheng Huang ◽  
Huayong Zhang ◽  
Zhao Liu ◽  
Ge Pan ◽  
Xiumin Zhang ◽  
...  
Keyword(s):  
Pattern Formation ◽  
Water Resource ◽  
Theoretical Study ◽  
Turing Instability ◽  
The Self ◽  
Self Organization ◽  
Vegetation Patterns ◽  
Sediment Layer ◽  
Spatiotemporal Model ◽  
Parameter Values

This research focuses on the self-organization of vegetation patterns on severely degraded eroding lands, triggered by water resource in the deposited sediment layer on which the vegetation patterns are formed. A nonlinear spatiotemporal model is developed with the consideration of the interactions between vegetation biomass and water resource stored in the sediment layer. With employment of the model, the conditions for pattern formation of the considered ecological system are determined via Turing instability analysis. Numerical simulations of the research demonstrate the formation of banded, labyrinth, and gapped vegetation patterns, with the parameter values taken from the literature. The characteristics of the vegetation patterns are analyzed. Comparing the characteristics of the vegetation patterns of this research with that available in literature, great similarity of pattern formation is shown. The results obtained provide a theoretical comprehension on natural vegetation restoration of severely degraded eroding lands.

scholarly journals Theoretical study of pattern formation during the catalytic oxidation of CO on Pt{100} at low pressures

2007 ◽  
Vol 127 (16) ◽  
pp. 164711 ◽  
Author(s):  
Alexandra T. Anghel ◽  
Rebecca B. Hoyle ◽  
Isabel M. Irurzun ◽  
Michael R. E. Proctor ◽  
David A. King
Keyword(s):  
Pattern Formation ◽  
Catalytic Oxidation ◽  
Theoretical Study ◽  
Oxidation Of Co ◽  
Catalytic Oxidation Of Co ◽  
Low Pressures

Formal Derivation of Lotka–Volterra–Haken Amplitude Equations of Task-Related Brain Activity in Multiple, Consecutively Performed Tasks

2016 ◽  
Vol 26 (10) ◽  
pp. 1650164 ◽  
Author(s):  
T. D. Frank
Keyword(s):  
Pattern Formation ◽  
Theoretical Study ◽  
Brain Activity ◽  
Activity Patterns ◽  
Causality Principle ◽  
Amplitude Equations ◽  
Circular Causality ◽  
Choice Tasks ◽  
Formation Systems ◽  
Formation System

The Lotka–Volterra–Haken equations have been frequently used in ecology and pattern formation. Recently, the equations have been proposed by several research groups as amplitude equations for task-related patterns of brain activity. In this theoretical study, the focus is on the circular causality aspect of pattern formation systems as formulated within the framework of synergetics. Accordingly, the stable modes of a pattern formation system inhibit the unstable modes, whereas the unstable modes excite the stable modes. Using this circular causality principle it is shown that under certain conditions the Lotka–Volterra–Haken amplitude equations can be derived from a general model of brain activity akin to the Wilson–Cowan model. The model captures the amplitude dynamics for brain activity patterns in experiments involving several consecutively performed multiple-choice tasks. This is explicitly demonstrated for two-choice tasks involving grasping and walking. A comment on the relevance of the theoretical framework for clinical psychology and schizophrenia is given as well.

PATTERN FORMATION IN NONEQUILIBRIUM LIPID MEMBRANES: FROM MEMBRANE UNDULATIONS TO LIPID RAFTS

2010 ◽  
Vol 05 (01) ◽  
pp. 1-34 ◽  
Author(s):  
RAMON REIGADA ◽  
JORDI GÓMEZ ◽  
JAVIER BUCETA ◽  
KATJA LINDENBERG ◽  
FRANCESC SAGUÉS
Keyword(s):  
Pattern Formation ◽  
Lipid Bilayers ◽  
Chemical Reactions ◽  
Lipid Membranes ◽  
Theoretical Study ◽  
Self Organization ◽  
Membrane Systems ◽  
Nonequilibrium Conditions ◽  
Lateral Organization ◽  
Biological Context

Lipid membranes, particularly under nonequilibrium conditions, have recently been investigated ever more vigorously because of their relevance in the biological context. We survey our recent approaches to the theoretical study of lipid bilayers that are perturbed in different ways. Self-organization phenomena involving curvature and/or composition spatiotemporal organization are investigated in membrane systems subjected to externally induced chemical reactions, transversal mass transport and insertion of proteins. The outcomes of these studies are expected to be applicable to different curvature and lateral organization phenomena in synthetic lipid bilayers and also in plasmatic cell membranes.

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