Inequivalence of ensembles in a system with long-range interactions

J Barré, D Mukamel, S Ruffo - Physical Review Letters, 2001 - APS
We study the global phase diagram of the infinite-range Blume-Emery-Griffiths model both in
the canonical and in the microcanonical ensembles. The canonical phase diagram shows …

Non-Gaussian equilibrium in a long-range Hamiltonian system

V Latora, A Rapisarda, C Tsallis - Physical Review E, 2001 - APS
We study the dynamics of a system of N classical spins with infinite-range interaction. We
show that, if the thermodynamic limit is taken before the infinite-time limit, the system does …

Large deviation techniques applied to systems with long-range interactions

J Barré, F Bouchet, T Dauxois, S Ruffo - Journal of Statistical Physics, 2005 - Springer
We discuss a method to solve models with long-range interactions in the microcanonical
and canonical ensemble. The method closely follows the one introduced by RS Ellis …

Nonextensive statistical mechanics: construction and physical interpretation

C Tsallis - Nonextensive Entropy, Interdisciplinary Applications, 2004 - books.google.com
Statistical mechanics is clearly mechanics (classical, quantum, special or general relativistic,
or any other) plus the theory of probabilities, as is well known. It is our understanding …

Exact mean-field solution of a spin chain with short-range and long-range interactions

E Granet - SciPost Physics, 2023 - scipost.org
We consider the transverse field Ising model with additional all-to-all interactions between
the spins. We show that a mean-field treatment of this model becomes exact in the …

Fingerprints of nonextensive thermodynamics in a long-range Hamiltonian system

V Latora, A Rapisarda, C Tsallis - Physica A: Statistical Mechanics and its …, 2002 - Elsevier
We study the dynamics of a Hamiltonian system of N classical spins with infinite-range
interaction. We present numerical results which confirm the existence of metaequilibrium …

Exact solution for quantum strong long-range models via a generalized Hubbard-Stratonovich transformation

J Román-Roche, V Herráiz-López, D Zueco - Physical Review B, 2023 - APS
We present an exact analytical solution for quantum strong long-range models in the
canonical ensemble by extending the classical solution proposed in Campa et al.[J. Phys. A …

[HTML][HTML] Influence of the interaction range on the thermostatistics of a classical many-body system

LJL Cirto, VRV Assis, C Tsallis - Physica A: Statistical Mechanics and its …, 2014 - Elsevier
We numerically study a one-dimensional system of N classical localized planar rotators
coupled through interactions which decay with distance as 1/r α (α≥ 0). The approach is a …

Prethermalization in the transverse-field Ising chain with long-range interactions

T Mori - Journal of Physics A: Mathematical and Theoretical, 2019 - iopscience.iop.org
Nonequilibrium dynamics in an isolated quantum spin chain with long-range Ising
interactions that decay as () with the distance r is studied. It turns out that long-range …

Analytical results for coupled-map lattices with long-range interactions

C Anteneodo, SES Pinto, AM Batista, RL Viana - Physical Review E, 2003 - APS
We obtain exact analytical results for lattices of maps with couplings that decay with distance
as r− α. We analyze the effect of the coupling range on the system dynamics through the …