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Temperature inversions occur in nature, e.g., in the solar corona and in interstellar molecular clouds: somewhat counterintuitively, denser parts of the system are colder than dilute ones. We propose a simple and appealing way to…

Statistical Mechanics · Physics 2015-08-04 Tarcisio N. Teles , Shamik Gupta , Pierfrancesco Di Cintio , Lapo Casetti

What happens when one of the parameters governing the dynamics of a long-range interacting system of particles in thermal equilibrium is abruptly changed (quenched) to a different value? While a short-range system, under the same…

Statistical Mechanics · Physics 2016-11-23 Shamik Gupta , Lapo Casetti

The temperature of the solar atmosphere increases from thousands to millions of degrees moving from the lower layer (chromosphere) to the outermost one (corona), while the density drops accordingly. The mechanism behind this phenomenon,…

Solar and Stellar Astrophysics · Physics 2023-12-27 Luca Barbieri , Lapo Casetti , Andrea Verdini , Simone Landi

The problem of solar corona heating remains one of key puzzles in astrophysics for a few decades; but none of the proposed mechanisms can give a definitive answer to this question. As a result, the novel scenarios are still suggested. Here,…

Solar and Stellar Astrophysics · Physics 2020-05-15 Yurii V. Dumin

A generic feature of systems with long-range interactions is the presence of {\it quasi-stationary} states with non-Gaussian single particle velocity distributions. For the case of the Hamiltonian Mean Field (HMF) model, we demonstrate that…

Prompted by the relevant problem of temperature inversion (i.e. gradient of density anti-correlated to the gradient of temperature) in astrophysics, we introduce a novel method to model a gravitationally confined multi-component…

We study energy transport in the paradigmatic Hamiltonian mean-field (HMF) model and other related long-range interacting models using molecular dynamics simulations. We show that energy diffusion in the HMF model is subdiffusive in nature,…

Statistical Mechanics · Physics 2017-10-13 Debarshee Bagchi

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

Statistical Mechanics · Physics 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

The thermodynamics and the dynamics of particle systems with infinite-range coupling display several unusual and new features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model represents a…

Statistical Mechanics · Physics 2009-09-29 Thierry Dauxois , Vito Latora , Andrea Rapisarda , Stefano Ruffo , Alessandro Torcini

Many-body long-range interacting systems can remain approximately in a quasi-stationary state far-from-thermodynamic equilibrium. These states are typically characterized by a pair of counter-propagating density clusters, or by a single…

Pattern Formation and Solitons · Physics 2022-12-20 Danilo M. Rivera , Roberto E. Navarro

Long-range interacting systems such as nitrogen vacancy centers in diamond and trapped ions serve as useful experimental setups to probe a range of nonequilibrium many-body phenomena. In particular, via driving, various effective…

Disordered Systems and Neural Networks · Physics 2018-05-16 Wen Wei Ho , Ivan Protopopov , Dmitry A. Abanin

Diluted mean-field models are graphical models in which the geometry of interactions is determined by a sparse random graph or hypergraph. Based on a nonrigorous but analytic approach called the "cavity method", physicists have predicted…

Combinatorics · Mathematics 2016-06-23 Victor Bapst , Amin Coja-Oghlan , Felicia Raßmann

We discuss the dynamics and thermodynamics of systems with long-range interactions. We contrast the microcanonical description of an isolated Hamiltonian system to the canonical description of a stochastically forced Brownian system. We…

Statistical Mechanics · Physics 2009-11-10 Pierre-Henri Chavanis

The Hamiltonian Mean-Field model has been investigated, since its introduction about a decade ago, to study the equilibrium and dynamical properties of long-range interacting systems. Here we study the long-time behavior of long-lived,…

Statistical Mechanics · Physics 2009-11-13 Alessandro Campa , Andrea Giansanti , Gianluca Morelli

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

We study heat transport in the context of Hamiltonian and related stochastic models with nearest-neighbor coupling, and derive a universal law for the temperature profiles of a large class of such models. This law contains a parameter…

Statistical Mechanics · Physics 2009-11-10 Jean-Pierre Eckmann , Lai-Sang Young

We investigate a coupled atmosphere-ocean model including the mechanical and thermodynamical interaction between the two fluids for the mid-latitudes. The formulation combines a multilayer quasi-geostrophic dynamical framework with…

Analysis of PDEs · Mathematics 2025-12-23 Federico Fornasaro , Tobias Kuna , Giulia Carigi

The distribution of temperature and emission measure in the stationary heated solar atmosphere was obtained for the limiting cases of slow and fast heating, when either the gas pressure or the concentration are constant throughout the layer…

Solar and Stellar Astrophysics · Physics 2010-04-16 O. Ptitsyna , B. Somov

We study theoretically layered spin systems where long-range dipolar interactions play a relevant role. By choosing a specific sample shape, we are able to reduce the complex Hamiltonian of the system to that of a much simpler coupled…

Statistical Mechanics · Physics 2009-11-11 Alessandro Campa , Ramaz Khomeriki , David Mukamel , Stefano Ruffo

The Hamiltonian Mean Field model describes a system of N fully-coupled particles showing a second-order phase transition as a function of the energy. The dynamics of the model presents interesting features in a small energy region below the…

Statistical Mechanics · Physics 2008-11-26 Vito Latora , Andrea Rapisarda
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