Thermodynamics and dynamics of systems with long-range interactions
By Freddy Bouchet, Shamik Gupta, D. Mukamel. 2010
167 citations recorded by the source corpus.
We review simple aspects of the thermodynamic and dynamical properties of systems with long-range pairwise interactions (LRI), which decay as 1/rd+σ at large distances r in d dimensions. Two broad classes of such systems are discussed. (i) Systems with a slow decay of the interactions, termed “strong” LRI, where the energy is super-extensive. These systems are characterized by unusual properties such as inequivalence of ensembles, negative specific heat, slow decay of correlations, anomalous diffusion and ergodicity breaking. (ii) Systems with faster decay of the interaction potential, where the energy is additive, thus resulting in less dramatic effects. These interactions affect the thermodynamic behavior of systems near phase transitions, where long-range correlations are naturally present. Long-range correlations are often present in systems driven out of equilibrium when the dynamics involves conserved quantities. Steady state properties of driven systems with local dynamics are considered within the framework outlined above.
Subfields: Condensed Matter Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/e431580ae468b91a1192306376b9a59389e48e6e
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In Statistical and Nonlinear Physics
Citations in the corpus
- Subwavelength vacuum lattices and atom–atom interactions in two-dimensional photonic crystals (2014, unknown): “i,j [J ijσ z i σ z j + J xy ij σ † i σ j] (6)”
- Distribution of shortest path lengths in subcritical Erdős-Rényi networks. (2018, background): “Thermal and dynamical processes on networks resemble those of systems with long range interactions [28] in the sense that extensivity is broken and standard statistical physics techniques do not apply.”
- A Polymer Model with Epigenetic Recolouring Reveals a Pathway for the de novo Establishment and 3D organisation of Chromatin Domains (2016, background): “(or ad hoc) long-range interactions within an Ising-like framework can induce a (continuous) phase transition in the thermodynamic limit [60,61].”