A MULTIREGION MULTISECTOR MODEL OF EQUILIBRIUM GROWTH

2005 ◽  
Vol 21 (1) ◽  
pp. 53-75 ◽  
Author(s):  
KOICHI MERA
Keyword(s):  
Multisector Model ◽  
Equilibrium Growth

“Analytical Techniques for Development Planning” (A Review Of Tims' Multisector Model For Pakistan'S Third Plan (1965-70))

1968 ◽  
Vol 8 (2) ◽  
pp. 240-263
Author(s):  
Azizur Rahman Khan
Keyword(s):  
Analytical Techniques ◽  
Development Planning ◽  
General Idea ◽  
Relative Prices ◽  
Scarce Resources ◽  
Sectoral Output ◽  
Consistency Model ◽  
Present Decade ◽  
Optimizing Model ◽  
Multisector Model

In the present decade there has been a great proliferation of multisectoral models for planning. Part of the incentive has certainly been the potentiality of their application in formulating the actual plans. By now there have been so many different types of multisectoral models that it is useful to attempt some kind of classification according as whether or not they embody certain well-known features. The advantage of such a classification is that one gets a general idea about the structure of the model simply by knowing where it belongs in the list of classification. One broad principle of classification is based on whether the model simply provides a consistent plan or whether it also satisfies some criteria of optimality. A multisectoral consistency model provides an allocation of the scarce resources (e.g., investment and foreign exchange) in such a way that the sectoral output levels are consistent with some given consumption or income target, consistency in this context meaning that the supply of each sector's output is matched by demand generated by intersectoral and final use at base-year relative prices. To the extent that the targets are flexible, there may be many such feasible plans. An optimizing model finds the "best" possible allocation of resources among sectors, the "best" being understood in the sense of maximiz¬ing > a given preference function subject to the constraints that ensure that the plan is also feasible.

The Theory of Equilibrium Growth. A. K. Dixit

1977 ◽  
Vol 85 (6) ◽  
pp. 1311-1312
Author(s):  
A. Asimakopulos
Keyword(s):  
Equilibrium Growth

Equilibrium Growth Morphologies of SiC Polytypes

1998 ◽  
Vol 264-268 ◽  
pp. 425-428 ◽  
Author(s):  
Stephan G. Müller ◽  
Robert Eckstein ◽  
R.F.P. Grimbergen ◽  
Dieter Hofmann ◽  
B. Rexer
Keyword(s):  
Equilibrium Growth

scholarly journals On radial stationary solutions to a model of non-equilibrium growth

2013 ◽  
Vol 24 (3) ◽  
pp. 437-453 ◽  
Author(s):  
CARLOS ESCUDERO ◽  
ROBERT HAKL ◽  
IRENEO PERAL ◽  
PEDRO J. TORRES
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Stationary Solutions ◽  
Parabolic Partial Differential Equation ◽  
Radial Solutions ◽  
Variational Techniques ◽  
Existence And Multiplicity ◽  
Equilibrium Growth ◽  
Non Equilibrium

We present the formal geometric derivation of a non-equilibrium growth model that takes the form of a parabolic partial differential equation. Subsequently, we study its stationary radial solutions by means of variational techniques. Our results depend on the size of a parameter that plays the role of the strength of forcing. For small forcing we prove the existence and multiplicity of solutions to the elliptic problem. We discuss our results in the context of non-equilibrium statistical mechanics.

scholarly journals Fractal and Dendritic Growth of Surface Aggregates

1995 ◽  
Vol 407 ◽  
Author(s):  
H. Brune ◽  
K. Bromann ◽  
K. Kern ◽  
J. Jacobsen ◽  
P. Stoltze ◽  
...  
Keyword(s):  
Dendritic Growth ◽  
Kinetic Monte Carlo ◽  
Variable Temperature ◽  
Two Dimensions ◽  
Present System ◽  
Diffusion Limited Aggregation ◽  
Microscopic Mechanism ◽  
Diffusion Limited ◽  
Kinetic Monte Carlo Simulations ◽  
Equilibrium Growth

ABSTRACTThe similarity of patterns formed in non-equilibrium growth processes in physics, chemistry and biology is conspicuous and many attempts have been made to discover common mechanisms underlying their growth. The central question in this context is what causes some patterns to be dendritic, as e.g. snowflakes, while others grow fractal (randomly ramified). Here we report a crossover from fractal to dendritic patterns for growth in two dimensions: the diffusion limited aggregation of Ag atoms on a Pt(111) surface as observed by means of variable temperature STM. The microscopic mechanism of dendritic growth can be analyzed for the present system. It originates from the anisotropy of the diffusion of adatoms at corner sites which is linked to the trigonal symmetry of the substrate. This corner diffusion is observed to be active as soon as islands form, therefore, the classical DLA clusters with the hit and stick mechanism do not form. The ideas on the mechanism for dendritic growth have been verified by kinetic Monte-Carlo simulations which are in excellent agreement with experiment.

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