Leadership and self-enforcing international environmental agreements with non-negative emissions

For the widely-used linear-quadratic model of stable IEAs the key results are: (i) if the members of the IEA act in a Cournot fashion with respect to non-signatories, a stable IEA has no more than 2 signatories; (ii) if the signatories act as Stackelberg leaders, a stable IEA can have any number of signatories. These results were derived using numerical simulations and ignored the non-negativity constraint on emissions. Recent papers using analytical approaches and explicitly recognising the non-negativity constraint have suggested that with Stackelberg leadership a stable IEA has at most four signatories. Such papers have introduced non-negativity constraints by restricting parameter values to ensure interior solutions for emissions, which restricts the number of signatories. We use the more appropriate approach of directly imposing the non-negativity constraint on emissions, recognising that for some parameter values this will entail corner solutions, and show, analytically, that the key results from the literature go through

Renormalization of Molecular Quasiparticle Levels at Metal-Molecule Interfaces: Trends Across Binding Regimes

When an electron or a hole is added into an orbital of an adsorbed molecule the substrate electrons will rearrange in order to screen the added charge. This results in a reduction of the electron addition/removal energies as compared to the free molecule case. In this work we use a simple model to illustrate the universal trends of this renormalization mechanism as a function of the microscopic key parameters. Insight of both fundamental and practical importance is obtained by comparing GW quasiparticle energies with Hartree-Fock and Kohn-Sham calculations. We identify two different polarization mechanisms: (i) polarization of the metal (image charge formation) and (ii) polarization of the molecule via charge transfer across the interface. The importance of (i) and (ii) is found to increase with the metal density of states at the Fermi level and metal-molecule coupling strength, respectively.Comment: 4 pages, 3 figure

Non-equilibrium GW approach to quantum transport in nano-scale contacts

Correlation effects within the GW approximation have been incorporated into the Keldysh non-equilibrium transport formalism. We show that GW describes the Kondo effect and the zero-temperature transport properties of the Anderson model fairly well. Combining the GW scheme with density functional theory and a Wannier function basis set, we illustrate the impact of correlations by computing the I-V characteristics of a hydrogen molecule between two Pt chains. Our results indicate that self-consistency is fundamental for the calculated currents, but that it tends to wash out satellite structures in the spectral function.Comment: 5 pages, 4 figure

An infinite-horizon model of dynamic membership of international environmental agreements

Much of the literature on international environmental agreements uses static models, although most important transboundary pollution problems involve stock pollutants. The few papers that study IEAs using models of stock pollutants do not allow for the possibility that membership of the IEA may change endogenously over time. In this paper we analyse a simple infinite-horizon version of the Barrett (1994) model, in which unit damage costs increase with the stock of pollution, and countries decide each period whether to join an IEA. We show that there exists a steady-state stock of pollution with corresponding steady-state IEA membership, and that if the initial stock of pollution is below (above) steady-state then membership of the IEA declines (rises) as the stock of pollution tends to steady-state. As we increase the parameter linking damage costs to the pollution stock, initial and steady-state membership decline; in the limit, membership is small and constant over time. Keywords; self-enforcing international environmental agreements, internal and external stability, stock pollutant

Leadership and self-enforcing international environmental agreements with non-negative emissions

For the widely-used linear-quadratic model of stable IEAs the key results are: (i) if the members of the IEA act in a Cournot fashion with respect to non-signatories, a stable IEA has no more than 2 signatories; (ii) if the signatories act as Stackelberg leaders, a stable IEA can have any number of signatories. These results were derived using numerical simulations and ignored the non-negativity constraint on emissions. Recent papers using analytical approaches and explicitly recognising the non-negativity constraint have suggested that with Stackelberg leadership a stable IEA has at most four signatories. Such papers have introduced non-negativity constraints by restricting parameter values to ensure interior solutions for emissions, which restricts the number of signatories. We use the more appropriate approach of directly imposing the non-negativity constraint on emissions, recognising that for some parameter values this will entail corner solutions, and show, analytically, that the key results from the literature go through.

A Mechanism for Cutting Carbon Nanotubes with a Scanning Tunneling Microscope

We discuss the local cutting of single-walled carbon nanotubes by a voltage pulse to the tip of a scanning tunneling microscope. The tip voltage ($\mid V \mid \ge$~3.8 eV) is the key physical quantity in the cutting process. After reviewing several possible physical mechanisms we conclude that the cutting process relies on the weakening of the carbon-carbon bonds through a combination of localized particle-hole excitations induced by inelastically tunneling electrons and elastic deformation due to the electric field between tip and sample. The carbon network releases part of the induced mechanical stress by forming topological defects that act as nucleation centers for the formation of dislocations that dynamically propagate towards bond-breaking.Comment: 7 pages, 6 postscript figures, submitted to PR