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We study the non-equilibrium dynamics, thermalisation and attractor behaviour of charm quarks in a longitudinally expanding Quark-Gluon Plasma within the Relativistic Boltzmann Transport approach in 1+1D Bjorken expansion. Considering both…

High Energy Physics - Phenomenology · Physics 2026-04-06 Shile Chen , Vincenzo Nugara , Maria Lucia Sambataro , Salvatore Plumari , Vincenzo Greco

We show that classical many-particle systems interacting with certain soft pair interactions in two dimensions exhibit novel low-temperature behaviors. Ground states span from disordered to crystalline. At some densities, a large fraction…

Statistical Mechanics · Physics 2009-07-03 Robert D. Batten , Frank H. Stillinger , Salvatore Torquato

Consider the complete graph on $n$ vertices. To each vertex assign an Ising spin that can take the values $-1$ or $+1$. Each spin $i \in [n]=\{1,2,\dots, n\}$ interacts with a magnetic field $h \in [0,\infty)$, while each pair of spins $i,j…

Probability · Mathematics 2022-04-28 Anton Bovier , Frank den Hollander , Saeda Marello

We investigate the impact of rigid rotation on the spontaneous breaking of U(1) symmetry in a Bose gas, which is described by a self-interacting complex scalar field Lagrangian. Rigid rotation is introduced through a specific metric that…

High Energy Physics - Phenomenology · Physics 2025-08-26 E. Siri , N. Sadooghi

We determine exactly the fixed point Hamiltonian of the one dimensional multichannel Kondo-Heisenberg lattice model for any number of channels N>=2. An anomalous singlet with non trivial internal dynamics is generated. We compute the…

Strongly Correlated Electrons · Physics 2009-10-31 N. Andrei , E. Orignac

A 1D model of interacting particles moving over a periodic substrate and in a position dependent temperature profile is considered. When the substrate and the temperature profile are spatially asymmetric a center-of-mass velocity develops,…

Statistical Mechanics · Physics 2021-03-03 A. Imparato

Systems with long-range interactions often relax towards statistical equilibrium over timescales that diverge with $N$, the number of particles. A recent work [S. Gupta and D. Mukamel, J. Stat. Mech.: Theory Exp. P03015 (2011)] analyzed a…

Statistical Mechanics · Physics 2014-07-11 Julien Barré , Shamik Gupta

We apply microcanonical ensemble considerations to suggest that, whenever it may thermalize, a general disorder-free many-body Hamiltonian of a typical atomic system has solid-like eigenstates at low energies and fluid-type (and gaseous,…

Statistical Mechanics · Physics 2016-12-16 Zohar Nussinov

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

We explore the chaotic dynamics of the mass-deformed Aharony-Bergman-Jafferis-Maldacena model. To do so, we first perform a dimensional reduction of this model from $2+1$ to $0+1$ dimensions, considering that the fields are spatially…

High Energy Physics - Theory · Physics 2023-03-21 K. Başkan , S. Kürkçüoğlu , C. Taşcı

The decay rate for a particle in a metastable cubic potential is investigated in the quantum regime by the Euclidean path integral method in semiclassical approximation. The imaginary time formalism allows one to monitor the system as a…

Statistical Mechanics · Physics 2008-04-22 Marco Zoli

An ultracold gas of heteronuclear alkali dimer molecules with hyperfine structure loaded into a one-dimensional optical lattice is investigated. The \emph{Hyperfine Molecular Hubbard Hamiltonian} (HMHH), an effective low-energy lattice…

Quantum Gases · Physics 2015-03-13 M. L. Wall , L. D. Carr

The long-term dynamics of long-range interacting $N$-body systems can generically be described by the Balescu-Lenard kinetic equation. However, for ${1D}$ homogeneous systems, this collision operator exactly vanishes by symmetry. These…

Statistical Mechanics · Physics 2019-12-04 Jean-Baptiste Fouvry , Ben Bar-Or , Pierre-Henri Chavanis

Experiments show that isochoric (constant-volume) conditions enhance supercooling stability relative to isobaric (constant-pressure) conditions. Here, combining Helmholtz equilibrium thermodynamics with a first-order perturbation…

Soft Condensed Matter · Physics 2026-04-30 Boris Rubinsky

We revisit a two-temperature Nos\'e-Hoover wanderer particle embedded in a two-dimensional periodic 2x2 cell with four smooth repulsive corners at $(x,y) = (\pm 1, \pm 1)$ to explore chaos with anisotropic thermostatting. The model employs…

Statistical Mechanics · Physics 2025-09-04 Hesam Arabzadeh , Carol Griswold Hoover , William Graham Hoover , Brad Lee Holian

Strong changes in bulk properties, such as modulus and viscosity, are observed near the glass transition temperature, T_{g}, of amorphous materials. For more than a century, intense efforts have been made to define a microscopic origin for…

Disordered Systems and Neural Networks · Physics 2024-04-24 Joseph B. Schlenoff , Khalil Akkaoui

Simple classical thermodynamic approach to the general description of metastable states is presented. It makes possible to calculate the explicit dependence of the Gibbs free energy on temperature, to calculate the heat capacity, the…

Materials Science · Physics 2007-05-23 Yuri Kornyushin

One-dimensional systems, such as nanowires or electrons moving along strong magnetic field lines, have peculiar thermalization physics. The binary collision of point-like particles, typically the dominant process for reaching thermal…

Atomic Physics · Physics 2024-07-10 M. Eltohfa , Xinghan Wang , Colton M. Griffin , F. Robicheaux

A generic lattice model for systems containing particles interacting with short-range attraction long-range repulsion (SALR) potential that can be solved exactly in one dimension is introduced. We assume attraction J_1 between the first…

Soft Condensed Matter · Physics 2015-06-12 J. Pekalski , A. Ciach , N. G. Almarza

In this paper, we show the orbital instability of the solitary waves $Q_{\Omega}e^{i\Omega t}$ of the 1d NLS with an attractive delta potential ($\gamma>0$) \begin{equation*} \i u_t+u_{xx}+\gamma\delta u+\abs{u}^{p-1}u=0, \; p>5,…

Analysis of PDEs · Mathematics 2024-04-25 Xingdong Tang , Guixiang Xu
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