# Scaling exponents and phase separation in a nonlinear network model inspired by the gravitational accretion

@article{Bogojevic2013ScalingEA, title={Scaling exponents and phase separation in a nonlinear network model inspired by the gravitational accretion}, author={Aleksandar Bogojevic and Antun Balaz and Aleksandar Belic}, journal={Physica D: Nonlinear Phenomena}, year={2013}, volume={255}, pages={52-57} }

Abstract We study dynamics and scaling exponents in a nonlinear network model inspired by the formation of planetary systems. Dynamics of this model leads to phase separation to two types of condensate, light and heavy, distinguished by how they scale with mass. Light condensate distributions obey power laws given in terms of several identified scaling exponents that do not depend on initial conditions. The analyzed properties of heavy condensates have been found to be scale-free. Calculated… Expand

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#### References

SHOWING 1-10 OF 87 REFERENCES

Formation of the Cores of the Outer Planets

- Geology
- 2005

AbstractThe formation of the giant planets seems to be best explained by accretion of planetesimals
to form massive cores, which in the case of Jupiter and Saturn were able to capture nebular gas.… Expand

Topology of evolving networks: local events and universality

- Physics, Computer Science
- Physical review letters
- 2000

A continuum theory is proposed that predicts the connectivity distribution of the network describing the professional links between movie actors as well as the scaling function and the exponents, in good agreement with numerical results. Expand

Computer simulations of planetary accretion dynamics: sensitivity to initial conditions. [Implications and limitations of ACRETE]

- Physics
- 1976

The implications and limitations of program ACRETE were tested. The program is a scheme based on Newtonian physics and accretion with unit sticking efficiency, devised to simulate the origin of the… Expand

Mean-field theory for scale-free random networks

- Computer Science, Mathematics
- 1999

A mean-field method is developed to predict the growth dynamics of the individual vertices of the scale-free model, and this is used to calculate analytically the connectivity distribution and the scaling exponents. Expand

Maximum entropy in a nonlinear system with a 1/f power spectrum

- Mathematics
- 2012

An analysis of master–slave hierarchy has been made in a system of nonlinear stochastic equations describing fluctuations with a 1/f spectrum at coupled nonequilibrium phase transitions. It is shown… Expand

Computer simulation of the formation of planetary systems

- Physics
- 1970

Abstract One of the many hypotheses about the formation of the solar system postulates that the planets were formed by the aggregation of particulate matter within a cloud of dust and gas surrounding… Expand

Formation of the Outer Planets

- Physics
- 2004

Models of the origins of gas giant planets and ‘ice’ giant planets are discussed and related to formation theories of both smaller objects (terrestrial planets) and larger bodies (stars). The most… Expand

Critical phenomena in complex networks

- Physics, Computer Science
- ArXiv
- 2007

A wide range of critical phenomena in equilibrium and growing networks including the birth of the giant connected component, percolation, $k$-core percolations, phenomena near epidemic thresholds, condensation transitions,critical phenomena in spin models placed on networks, synchronization, and self-organized criticality effects in interacting systems on networks are mentioned. Expand

Extrasolar Planets: Constraints for Planet Formation Models

- Physics, Medicine
- Science
- 2005

Since 1995, more than 150 extrasolar planets have been discovered, most of them in orbits quite different from those of the giant planets in the authors' own solar system, demonstrating that planetary systems are common but also that they may possess a large variety of properties. Expand

Oligarchic growth of protoplanets

- Physics
- 1996

We investigate the growth and the orbital evolution of protoplanets embedded in a swarm of planetesimals using three-dimensionalN-body simulations. We find that among protoplanets, larger ones grow… Expand