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The width of the distribution of species in a polydisperse system is employed in a small-variable expansion, to obtain a well-controlled and compact scheme by which to calculate phase equilibria in multi-phase systems. General and universal…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

Multiple systems play an important role in the evolution of star clusters. First we discuss several formation mechanisms which depend on the presence of binaries, either primordial or of dynamical origin. Hierarchical configurations are…

Astrophysics · Physics 2007-05-23 Sverre J. Aarseth , Rosemary A. Mardling

The dynamics leading to extinction or coexistence of competing species is of great interest in ecology and related fields. Recently a model of intra- and interspecific competition between two species was proposed by Gabel et al. [Phys. Rev.…

Populations and Evolution · Quantitative Biology 2015-06-15 Renato Vieira dos Santos , Ronald Dickman

Determining planetary habitability is a complex matter, as the interplay between a planet's physical and atmospheric properties with stellar insolation has to be studied in a self consistent manner. Standardized atmospheric models for…

Earth and Planetary Astrophysics · Physics 2015-07-15 Siegfried Eggl , Nikolaos Georgakarakos , Elke Pilat-Lohinger

The oldest forms of living organisms on Earth are about 3.5 billion years old, and they are found in hydrothermal deposits, and it is often hypothesized that life originated there. But the hydrothermal systems with a fairly strong flow of…

Biological Physics · Physics 2023-01-10 Søren Toxvaerd

Rotation has a number of important effects on the evolution of stars. Apart from structural changes because of the centrifugal force, turbulent mixing and meridional circulation caused by rotation can dramatically affect a star's chemical…

Solar and Stellar Astrophysics · Physics 2015-06-04 Adrian T. Potter , Christopher A. Tout , Ines Brott

The known extrasolar multiple-planet systems share a surprising dynamical attribute: they cluster just beyond the Hill stability boundary. Here we show that the planet-planet scattering model, which naturally explains the observed exoplanet…

Earth and Planetary Astrophysics · Physics 2011-02-11 Sean N. Raymond , Rory Barnes , Dimitri Veras , Philip J. Armitage , Noel Gorelick , Richard Greenberg

The existence of plate tectonics on the Earth is directly dependent on the internal viscosity contrast, mass of the planet, availability of liquid water and an internal heat source. However, the initial conditions of rotational velocity and…

Earth and Planetary Astrophysics · Physics 2022-02-24 Rajagopal Anand

In sustained growth with random dynamics stationary distributions can exist without detailed balance. This suggests thermodynamical behavior in fast growing complex systems. In order to model such phenomena we apply both a discrete and a…

Statistical Mechanics · Physics 2017-03-22 Tamás Biró , Zoltán Néda

A planetary system may undergo significant radial rearrangement during the early part of its lifetime. Planet migration can come about through interaction with the surrounding planetesimal disk and the gas disk--while the latter is still…

Astrophysics · Physics 2007-05-23 Edward W. Thommes , Jack J. Lissauer

A balanced ratio of ocean to land is believed to be essential for an Earth-like biosphere and one may conjecture that plate-tectonics planets should be similar in geological properties. After all, the volume of continental crust evolves…

Earth and Planetary Astrophysics · Physics 2023-04-12 Dennis Höning , Tilman Spohn

A fully self-contained model of homochirality is presented that contains the effects of both polymerization and dissociation. The dissociation fragments are assumed to replenish the substrate from which new monomers can grow and undergo new…

Biomolecules · Quantitative Biology 2007-05-23 A. Brandenburg , A. C. Andersen , M. Nilsson

Heterogeneous systems of active matter exhibit a range of complex emergent dynamical patterns. In particular, it is difficult to predict the properties of the mixed system based on its constituents. These considerations are particularly…

Soft Condensed Matter · Physics 2021-04-07 Shlomit Peled , Shawn D. Ryan , Sebastian Heidenreich , Markus Bar , Gil Ariel , Avraham Be'er

This article reviews the emerging field of exo-geoscience, focusing on the geological and geophysical processes thought to influence the evolution and (eu)habitability of rocky exoplanets. We examine the possible roles of planetary…

Earth and Planetary Astrophysics · Physics 2026-01-21 Tilman Spohn , Akli Roberge , M. J. Way , João C. Duarte , Francesca Miozzi , Philipp Baumeister , Paul Byrne , Charles Lineweaver

We study an individual-based model in which two spatially-distributed species, characterized by different diffusivities, compete for resources. We consider three different ecological settings. In the first, diffusing faster has a cost in…

Populations and Evolution · Quantitative Biology 2016-01-27 Simone Pigolotti , Roberto Benzi

A new model for the description of the behaviour of strangelets in the Earth's atmosphere is presented. Strangelet fission induced by collision with air nuclei is included. It is shown that strangelets with certain parameters of initial…

Nuclear Theory · Physics 2008-11-26 Fei Wu , Ren-Xin Xu , Bo-Qiang Ma

How does molecular complexity emerge and evolve during the process leading to the formation of a planetary system? Astrochemistry is experiencing a golden age, marked by significant advancements in the observation and understanding of the…

Solar and Stellar Astrophysics · Physics 2024-07-16 E. Bianchi , M. De Simone , G. Sabatini , J. Frediani , L. Podio , C. Codella

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time- dependent…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Hajnalka Gergely , Beata Oborny

For a parabolic surface partial differential equation coupled to surface evolution, convergence of the spatial semidiscretization is studied in this paper. The velocity of the evolving surface is not given explicitly, but depends on the…

Numerical Analysis · Mathematics 2017-02-08 Balázs Kovács , Buyang Li , Christian Lubich , Christian Andreas Power Guerra

The rise of oxygen in Earth's atmosphere that occurred 2.4 to 2.2 billion years ago is known as the Earth's Great Oxidation, and its impact on the development of life on Earth has been profound. Thereafter, the increase in Earth's oxygen…

Chaotic Dynamics · Physics 2023-07-19 Satish Kumar , Manfred Cuntz , Zdzislaw E. Musielak