109 research outputs found
Logistic modelling of economic dynamics
We demonstrate the effectiveness of the logistic function to model the
evolution of two economic systems. The first is the GDP and trade growth of the
USA, and the second is the revenue and human resource growth of IBM. Our
modelling is based on the World Bank data in the case of the USA, and on the
company data in the case of IBM. The coupled dynamics of the two relevant
variables in both systems - GDP and trade for the USA, and revenue and human
resource for IBM - follows a power-law behaviour.Comment: 5 pages, 6 figures, ReVTeX double column format. arXiv admin note:
substantial text overlap with arXiv:2109.0526
Logistic forecasting of GDP competitiveness
The GDP growth of national economies is modelled by the logistic function.
Applying it on the GDP data of the World Bank till the year 2020, we forecast
the outcome of the competitive GDP growth of Japan, Germany, UK and India, all
of whose current GDPs are very close to one another. Fulfilling one of the
predictions, in 2022 the GDP of India has indeed overtaken the GDP of UK. Our
overall forecast is that by 2047, the GDP of India will be greater than that of
the other three countries. We argue that when trade saturates, large and
populous countries (like India) have the benefit of high domestic consumption
to propel their GDP growth.Comment: 5 pages, 4 figures, ReVTeX double column forma
Hydraulic Jump in One-dimensional Flow
In the presence of viscosity the hydraulic jump in one dimension is seen to
be a first-order transition. A scaling relation for the position of the jump
has been determined by applying an averaging technique on the stationary
hydrodynamic equations. This gives a linear height profile before the jump, as
well as a clear dependence of the magnitude of the jump on the outer boundary
condition. The importance of viscosity in the jump formation has been
convincingly established, and its physical basis has been understood by a
time-dependent analysis of the flow equations. In doing so, a very close
correspondence has been revealed between a perturbation equation for the flow
rate and the metric of an acoustic white hole. We finally provide experimental
support for our heuristically developed theory.Comment: 17 Pages, 8 Figures, 1 Table. To appear in European Physical Journal
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