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We give a notion of entropy for general gemetric structures, which generalizes well-known notions of topological entropy of vector fields and geometric entropy of foliations, and which can also be applied to singular objects, e.g. singular…

Differential Geometry · Mathematics 2011-09-27 Nguyen Tien Zung

The electronic structure of heavy elements, when described in a space-time which the metric is affected by the electromagnetic interaction, presents instabilities. These instabilities increase with the atomic number, and above a critical…

General Physics · Physics 2007-05-23 C. C. Barros

Clusters of galaxies are often embedded in larger-scale superclusters with dimensions of tens or perhaps even hundreds of Mpc. Observational and theoretical evidence suggest an important connection between cluster properties and their…

Astrophysics · Physics 2009-09-25 Michael J. West

Solar system small bodies come in a wide variety of shapes and sizes, which are achieved following very individual evolutional paths through billions of years. This paper focuses on the reshaping process of rubble-pile asteroids driven by…

Earth and Planetary Astrophysics · Physics 2017-08-03 Yang Yu , Derek C. Richardson , Patrick Michel

The role of saturation for cluster formation in finite systems such as atomic nuclei is analyzed by considering three length-scale ratios, and performing deformation-constrained self-consistent mean-field calculations. The effect of…

Nuclear Theory · Physics 2015-06-18 Jean-Paul Ebran , Elias Khan , Tamara Niksic , Dario Vretenar

We simulate the dynamics of fractal star clusters, in order to investigate the evolution of substructure in recently formed clusters. The velocity dispersion is found to be the key parameter determining the survival of substructure. In…

Astrophysics · Physics 2009-11-10 Simon P. Goodwin , A. P. Whitworth

We propose a unifying, analytical theory accounting for the self-organization of colloidal systems in nano- or micro-cluster phases. We predict the distribution of cluter sizes with respect to interaction parameters and colloid…

Soft Condensed Matter · Physics 2009-11-13 Nicolas Destainville , Lionel Foret

We investigate the ordering properties of vertically-vibrated monolayers of granular cylinders in a circular container at high packing fraction. In line with previous works by other groups, we identify liquid-crystalline ordering behaviour…

Soft Condensed Matter · Physics 2017-05-16 Miguel Gonzalez-Pinto , Florentino Borondo , Yuri Martinez-Raton , Enrique Velasco

The entropy of the intracluster medium at large radii has been shown recently to deviate from the self-similar scaling with temperature. Using N-body/hydrodynamic simulations of the LCDM cosmology, we demonstrate that this deviation is…

Astrophysics · Physics 2009-11-10 Scott T. Kay

Many active matter systems, mostly on the microscopic scale, are well approximated as overdamped, meaning that any inertial momentum is immediately dissipated by the environment. On the other hand, especially for macroscopic active systems…

Soft Condensed Matter · Physics 2020-07-13 Dominic Arold , Michael Schmiedeberg

Non-equilibrium cluster-cluster aggregation of particles diffusing in or at the cell membrane has been hypothesized to lead to domains of finite size in different biological contexts such as lipid rafts, cell adhesion complexes, or…

Soft Condensed Matter · Physics 2023-08-30 Renaud Baillou , Jonas Ranft

Cluster growth in a coagulating system of active particles (such as microswimmers in a solvent) is studied by theory and simulation. In contrast to passive systems, the net velocity of a cluster can have various scalings dependent on the…

Soft Condensed Matter · Physics 2014-03-21 P. Cremer , H. Löwen

The weak correlation between spatiotemporal fluctuations in nonequilibrium complex systems is shown to govern the fluctuation distribution, maximizing the conditional entropy associated with such fluctuations. The result is illustrated in…

Statistical Mechanics · Physics 2024-03-05 Yuichi Itto

In nonequilibrium thermodynamics macroscopic entropy creation plays an important role. Here we study, from various viewpoints, its relation with the phase space contraction, which has been recently proposed as an apparently alternative…

Statistical Mechanics · Physics 2007-05-23 Giovanni Gallavotti

Formation of the nonequilibrium subsystem in dynamical processes during defect generation is simulated by means of molecular dynamics. A particular process of dissipation of the low-frequency acoustic emission into high-frequency…

Computational Physics · Physics 2009-12-11 Leonid S. Metlov

Observations show that (i) multiple gas phases can coexist in the atmospheres of galaxies and clusters; (ii) these atmospheres may be significantly rotating in the inner parts, with typical velocities that approach or even exceed the local…

Astrophysics of Galaxies · Physics 2019-03-27 Emanuele Sobacchi , Mattia Sormani

Singularities in macroscopic systems at discontinuous phase transitions are replaced in finite systems by sharp but continuous changes. Both the energy differences between metastable and stable phases and the energy barriers separating…

Statistical Mechanics · Physics 2009-11-13 Alexander Patashinski , Mark Ratner

Understanding the relationship between complexity and stability in large dynamical systems -- such as ecosystems -- remains a key open question in complexity theory which has inspired a rich body of work developed over more than fifty…

Populations and Evolution · Quantitative Biology 2021-07-14 Yvonne Krumbeck , Qian Yang , George W. A. Constable , Tim Rogers

Firstly, we calculate quantitatively decrease of entropy by the known formulas in the ordering phenomena and nucleation of thermodynamics of microstructure. They show again that a necessary condition of decrease of entropy in isolated…

General Physics · Physics 2009-05-04 Yi-Fang Chang

We investigate the geometry of a critical system undergoing a second order thermal phase transition. Using a local description for the dynamics characterizing the system at the critical point T=Tc, we reveal the formation of clusters with…

High Energy Physics - Phenomenology · Physics 2009-10-31 N. G. Antoniou , Y. F. Contoyiannis , F. K. Diakonos