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The combination of the compactness of networks, featuring small diameters, and their complex architectures results in a variety of critical effects dramatically different from those in cooperative systems on lattices. In the last few years,…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , A. V. Goltsev , J. F. F. Mendes

Zero-range processes, in which particles hop between sites on a lattice, are closely related to equilibrium networks, in which rewiring of links take place. Both systems exhibit a condensation transition for appropriate choices of the…

Statistical Mechanics · Physics 2009-11-11 A. G. Angel , M. R. Evans , E. Levine , D. Mukamel

Quantum criticality is the intriguing possibility offered by the laws of quantum mechanics when the wave function of a many-particle physical system is forced to evolve continuously between two distinct, competing ground states. This…

Mesoscale and Nanoscale Physics · Physics 2008-09-18 Nicolas Roch , Serge Florens , Vincent Bouchiat , Wolfgang Wernsdorfer , Franck Balestro

The large-scale circulation of planetary atmospheres like that of the Earth is traditionally thought of in a dynamical framework. Here, we apply the statistical mechanics theory of turbulent flows to a simplified model of the global…

Fluid Dynamics · Physics 2012-05-17 Corentin Herbert , Bérengère Dubrulle , Pierre-Henri Chavanis , Didier Paillard

It has been proposed that the number of tropical cyclones as a function of the energy they release is a decreasing power-law function, up to a characteristic energy cutoff determined by the spatial size of the ocean basin in which the storm…

Atmospheric and Oceanic Physics · Physics 2011-03-25 A. Corral

Percolation is the simplest fundamental model in statistical mechanics that exhibits phase transitions signaled by the emergence of a giant connected component. Despite its very simple rules, percolation theory has successfully been applied…

Statistical Mechanics · Physics 2015-06-09 Abbas Ali Saberi

In a changing climate, a key role may be played by the response of convective-type cloud and precipitation to temperature changes. Yet, it is unclear if precipitation intensities will increase mainly due to modified thermodynamic forcing or…

Atmospheric and Oceanic Physics · Physics 2016-10-12 Christopher Moseley , Cathy Hohenegger , Peter Berg , Jan O. Haerter

We consider systems whose steady-states exhibit a nonequilibrium phase transition from an active state to one -among an infinite number- absorbing state, as some control parameter is varied across a threshold value. The pair contact…

Statistical Mechanics · Physics 2009-11-07 F. van Wijland

The instability with respect to global glaciation is a fundamental property of the climate system caused by the positive ice-albedo feedback. The atmospheric carbon dioxide concentration at which this Snowball bifurcation occurs changes…

Earth and Planetary Astrophysics · Physics 2023-10-12 Georg Feulner , Mona Bukenberger , Stefan Petri

Climate response metrics are used to quantify the Earth's climate response to anthropogenic changes of atmospheric CO2. Equilibrium Climate Sensitivity (ECS) is one such metric that measures the equilibrium response to CO2 doubling.…

Atmospheric and Oceanic Physics · Physics 2023-01-11 Robbin Bastiaansen , Peter Ashwin , Anna S. von der Heydt

This paper looks at the early theory of phase transitions. It considers a group of related concepts derived from condensed matter and statistical physics. The key technical ideas here go under the names of "singularity", "order parameter",…

History and Philosophy of Physics · Physics 2009-09-14 Leo P. Kadanoff

Mesoscale convective systems (MCSs) are crucial components of the hydrological cycle and often produce flash floods. Given their impact, it is crucial to understand how they will change under a warming climate. This study uses a satellite-…

Atmospheric and Oceanic Physics · Physics 2024-06-18 Wenjun Cui , Thomas Galarneau , Kimberly Hoogewind

In recent years a fashion has grown up to ascribe great importance to ``quantum critical points'' at T=0, at the boundary between the basins of attraction to the stable fixed points of ordered ground states. I argue that more physical…

Strongly Correlated Electrons · Physics 2009-11-07 Philip W. Anderson

The critical behavior in an important class of excited state quantum phase transitions is signaled by the presence of a new constant of motion only at one side of the critical energy. We study the impact of this phenomenon in the…

Quantum Physics · Physics 2022-02-04 Ángel L. Corps , Rafael A. Molina , Armando Relaño

We show that phase separation in ordered polar active fluids belongs to a new universality class. This describes large collections of self-propelled entities (``flocks"), all spontaneously moving in the same direction, in which attractive…

Soft Condensed Matter · Physics 2024-01-12 Maxx Miller , John Toner

The avalanche properties of models that exhibit 'self-organized criticality' (SOC) are still mostly awaiting theoretical explanations. A recent mapping (Europhys. Lett.~53, 569) of many sandpile models to interface depinning is presented…

Statistical Mechanics · Physics 2009-11-07 Mikko Alava

Fluctuation-induced forces, such as the Critical Casimir Effect (CCE), are fundamental mechanisms driving organization and self-assembly near second-order phase transitions. The existence of a comparable, universal force for systems…

Statistical Mechanics · Physics 2026-01-21 O. D. Lunn , J. G. Downs , K. K. Mandadapu , J. P. Garrahan , M. I. Smith

Atmospheric flows exhibit long-range spatiotemporal correlations manifested as the fractal geometry to the global cloud cover pattern concomitant with inverse power law form for spectra of temporal fluctuations. Such non-local connections…

chao-dyn · Physics 2015-06-24 A. M. Selvam , Suvarna Fadnavis

Critical phenomena arise ubiquitously in various context of physics, from condensed matter, high energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point.…

Statistical Mechanics · Physics 2020-07-15 Ryo Hanai , Peter B. Littlewood

The concept of percolation is combined with a self-consistent treatment of the interaction between the dynamics on a lattice and the external drive. Such a treatment can provide a mechanism by which the system evolves to criticality without…

Statistical Mechanics · Physics 2007-11-29 A. V. Milovanov , K. Rypdal , J. J. Rasmussen
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