output
19972026
most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

Showing 2016 · math-phShow all

6 papers · 2 filters

math-ph2016★ 27 cited

Harmonic factorization and reconstruction of the elasticity tensor

Marc Olive, Boris Kolev, Boris Desmorat +1

In this paper, we propose a factorization of a fourth-order harmonic tensor into second-order tensors. We obtain moreover explicit equivariant reconstruction formulas, using second…

math-ph2016

On the Cauchy problem with large data for a space-dependent Boltzmann-Nordheim boson equation II

Leif Arkeryd, Anne Nouri

This paper studies a space-inhomogeneous Boltzmann-Nordheim equation with pseudo-Maxwellian forces. Strong solutions are obtained for the Cauchy problem in a setting with large bou…

math-ph2016★ 11 cited

Phase separation for the long range one--dimensional ising model

Marzio Cassandro, Immacolata Merola, Pierre Picco

We consider the phase separation problem for the one--dimensional ferromagnetic Ising model with long--range two--body interaction, $J(n)=n^{-2+\a}$ where denotes the dis…

math-ph2016★ 3 cited

On ergodic states, spontaneous symmetry breaking and the Bogoliubov quasi-averages

Walter F. Wreszinski, Valentin A. Zagrebnov

It is shown that Bogoliubov quasi-averages select the pure or ergodic states in the ergodic decomposition of the thermal (Gibbs) state. Our examples include quantum spin systems an…

math-ph2016★ 39 cited

A minimal integrity basis for the elasticity tensor

Nicolas Auffray, Marc Olive, Boris Kolev

We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C. Decomposing C into its SO(3)-irreducibl…

math-ph2016

Rigorous derivation of Lindblad equations from quantum jumps processes in 1D

Christophe Gomez, Maxime Hauray

We are interested by the behaviour of a 1D single heavy particle, interacting with an environment made of very fast particles in a thermal state. Assuming that the interactions are…