Energy current correlation in solvable long-range interacting systems

Temperature inversion in long-range interacting systems.

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 spontaneously generate temperature inversions in systems with long-range interactions, by preparing them in inhomogeneous thermal equilibrium states and then applying ...

Incomplete equilibrium in long-range interacting systems.

We use Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasistationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution, we find that the central limit theorem implies the Boltzmann expression in Gibbs' Gamma space. We identify the nonequilibrium submanifold of Gamma space charac...

Nearly linear light cones in long-range interacting quantum systems.

In nonrelativistic quantum theories with short-range Hamiltonians, a velocity v can be chosen such that the influence of any local perturbation is approximately confined to within a distance r until a time t∼r/v, thereby defining a linear light cone and giving rise to an emergent notion of locality. In systems with power-law (1/r^{α}) interactions, when α exceeds the dimension D, an analogous b...

Many-body physics in long-range interacting quantum systems

Phase transition in d-dimensional long-range interacting systems

We present new iterative method for the derivation one-point distribution function in the equilibrium state. For derivation of the distribution function, we must solve Lane-Emden equation. In general case, we solve the equation with iterative method. However the traditional method is not ensured convergence of the algorithm, we cannot often obtain solutions. In order to obtain the stable statio...