Entanglement renders free riding redundant in the thermodynamic limit

Approaching the thermodynamic limit in equilibrated scale-free networks.

We discuss how various models of scale-free complex networks approach their limiting properties when the size N of the network grows. We focus mainly on equilibrated networks and their finite-size degree distributions. Our results show that the position of the cutoff in the degree distribution, k_{cutoff} , scales with N in a different way than predicted for N-->infinity ; that is, subleading c...

New fingerprint of the entanglement on the thermodynamic properties

The realization that entanglement can affect macroscopic properties of bulk solid-state systems is a challenge in physics and Chemistry. Theoretical physicists often are considered the entanglement between nearest-neighbor (NN) spins and tried to find its characterizations in terms of macroscopic thermodynamics observables as magnetization and specific heat. Here, we focus on the entanglement b...

Leading The Ignorant: Can Ignorance Eliminate The Free Riding Problem?

Free Riding

We use a unique dataset that combines the responses from an original survey of households, information about the structural characteristics of their homes, utility-provided longitudinal electricity usage records, plus utility program participation information, to study the uptake of energy efficiency incentives and their effect on residential electricity consumption. Attention is restricted to ...

Geometric entanglement of one-dimensional systems: bounds and scalings in the thermodynamic limit

In this paper the geometric entanglement (GE) of systems in one spatial dimension (1D) and in the thermodynamic limit is analyzed focusing on two aspects. First, we reexamine the calculation of the GE for translation-invariant matrix product states (MPSs) in the limit of infinite system size. We obtain a lower bound to the GE which collapses to an equality under certain sufficient conditions th...