A lattice-gas model for alkali-metal fullerides: face-centred-cubic structure

Udvardi, L.; Szabó, György

doi:10.1088/0953-8984/8/50/022

Cited by 4 publications

(3 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the latter case the real solution is the one where Φ(c, q) reaches its maximum. Thus the cluster variation method gives us a unique way to evaluate the equilibrium value of c and q together with all the related quantities as a function of K. Besides it, one can derive approximate phase diagrams if the actual model has several solutions with different symmetries, as it happens frequently in solid state systems [examples and further references are given in [144,145]]. In evolutionary games on lattices the average total payoff can be given as…”

Section: Consequences Of the Extremum Principlesmentioning

confidence: 99%

“…Finally we mention that the sublattice-dependent local site energy plays an important role in those lattice gas models where two types of sites are distinguished. For example, in the crystals of Pd-H system [164], CaF 2 [165], and alkali-fullerides [145] the mobile atoms/ions can stay both in the tetrahedral and octahedral sites of the face-centered cubic lattice formed by the rigid components.…”

Section: Systems Equivalent To Ising Modelsmentioning

confidence: 99%

See 1 more Smart Citation

Evolutionary potential games on lattices

2016

Self Cite

View full text Add to dashboard Cite

Game theory provides a general mathematical background to study the effect of pair interactions and evolutionary rules on the macroscopic behavior of multi-player games where players with a finite number of strategies may represent a wide scale of biological objects, human individuals, or even their associations. In these systems the interactions are characterized by matrices that can be decomposed into elementary matrices (games) and classified into four types. The concept of decomposition helps the identification of potential games and also the evaluation of the potential that plays a crucial role in the determination of the preferred Nash equilibrium, and defines the Boltzmann distribution towards which these systems evolve for suitable types of dynamical rules. This survey draws parallel between the potential games and the kinetic Ising type models which are investigated for a wide scale of connectivity structures. We discuss briefly the applicability of the tools and concepts of statistical physics and thermodynamics. Additionally the general features of ordering phenomena, phase transitions and slow relaxations are outlined and applied to evolutionary games. The discussion extends to games with three or more strategies. Finally we discuss what happens when the system is weakly driven out of the "equilibrium state" by adding non-potential components representing games of cyclic dominance.

show abstract

Section: Consequences Of the Extremum Principlesmentioning

confidence: 99%

Section: Systems Equivalent To Ising Modelsmentioning

confidence: 99%

Evolutionary potential games on lattices

2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…In a previous paper [1] (henceforth referred to as I) we have introduced a lattice-gas model to describe the ordering of alkali atoms intercalated into solid C 60 of face-centred-cubic (FCC) structure. This model is now adapted to a body-centred-cubic (BCC) host, in view of the fact that these structures are also observed in experiments (see the reviews in references [2,3]).…”

Section: Introductionmentioning

confidence: 99%

Light-Induced States of Atoms in Intense Laser Fields

Potvliege

2003

Phys. Scr.

View full text Add to dashboard Cite

A Coulomb lattice-gas model with a host-lattice screening mechanism is adapted to describe the ordering phenomena in alkali-metal fullerides of body-centred-cubic structure. It is assumed that the electric charge of an alkali ion residing at a tetrahedral interstitial site is completely screened by its first-neighbour C 60 molecules. The electronic energy of the C x− 60 ion is also taken into consideration as a charged spherical shell. By means of these assumptions an effective (short-range) pair interaction between two alkali ions is obtained. The resultant lattice-gas model is analysed by using two-and six-sublattice mean-field approximations. The thermodynamic properties are summarized in phase diagrams for different shell radii.

show abstract

A lattice-gas model for alkali-metal fullerides: body-centred-cubic structure

Szabó

Udvardi

1998

J. Phys.: Condens. Matter

Self Cite

View full text Add to dashboard Cite

A Coulomb lattice-gas model with a host lattice screening mechanism is adapted to describe the ordering phenomena in alkali-metal fullerides of body-centered-cubic structure. It is assumed that the electric charge of an alkali ion residing at a tetrahedral interstitial site is completely screened by its first-neighbor C60 molecules. The electronic energy of the C x− 60 ion is also taken into consideration as a charged spherical shell. By means of these assumptions an effective (short range) pair interaction is obtained between two alkali ions. The resultant lattice-gas model is analyzed by using two-and six-sublattice mean-field approximations. The thermodynamic properties are summarized in phase diagrams for different shell radii.

show abstract

A lattice-gas model for alkali-metal fullerides: face-centred-cubic structure

Cited by 4 publications

References 36 publications

Evolutionary potential games on lattices

Evolutionary potential games on lattices

Light-Induced States of Atoms in Intense Laser Fields

A lattice-gas model for alkali-metal fullerides: body-centred-cubic structure

Contact Info

Product

Resources

About