Superconducting glass properties in the random infinite-range interaction Hubbard model: stability analysis and phase diagrams

AbstractWe provide a new proof of the existence of Gibbs point processes with infinite range interactions, based on the compactness of entropy levels. Our main existence theorem holds under two assumptions. The first one is the standard stability assumption, which means that the energy of any finite configuration is superlinear with respect to the number of points. The second assumption is the so-called intensity regularity, which controls the long range of the interaction via the intensity of the process. This assumption is new and introduced here since it is well adapted to the entropy approach. As a corollary of our main result we improve the existence results by Ruelle (1970) for pairwise interactions by relaxing the superstabilty assumption. Note that our setting is not reduced to pairwise interaction and can contain infinite-range multi-body counterparts.

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Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

Advances in Mathematical Physics ◽

10.1155/2016/2129682 ◽

2016 ◽

Vol 2016 ◽

pp. 1-17 ◽

Cited By ~ 3

Author(s):

Victor Chulaevsky

Keyword(s):

Dynamical Localization ◽

Scaling Analysis ◽

Range Interaction ◽

Direct Scaling ◽

Strongly Mixing ◽

Optimal Decay ◽

Decay Bounds ◽

Multiparticle Systems ◽

Infinite Range ◽

Anderson Models

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

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Charge Transfer Model of Polar Clusters, Nature of Their Infinite-Range Interaction and Freezing Phenomena in PMN-Type Relaxors

Ferroelectrics Letters Section ◽

10.1080/07315170214362 ◽

2002 ◽

Vol 29 (3-4) ◽

pp. 17-27

Author(s):

V. S. Vikhnin ◽

R. Blinc ◽

R. Pirc

Keyword(s):

Charge Transfer ◽

Transfer Model ◽

Range Interaction ◽

Polar Clusters ◽

Charge Transfer Model ◽

Infinite Range

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Effectiveness of Information from Vehicles beyond Nearest Vehicle Ahead for Traffic Flow

ISRN Civil Engineering ◽

10.5402/2011/282346 ◽

2011 ◽

Vol 2011 ◽

pp. 1-7

Author(s):

Hikaru Shimizu ◽

Sho Nishiyama ◽

Yukiko Wakita ◽

Eisuke Kita

Keyword(s):

Stability Analysis ◽

Traffic Flow ◽

Flow Simulation ◽

The Other ◽

Stable Region ◽

Model Parameters ◽

Model Stability ◽

Acceleration Rate ◽

Traffic Flow Simulation ◽

Vehicle Acceleration

A driver usually controls the vehicle according to only the information from the nearest leader vehicle. If the information from the other leader vehicles is also available, the driver can control the vehicle more adequately. The aim of this study is to discuss the effectiveness of the information from the other leader vehicles than the nearest one for the traffic flow. For this purpose, the traffic flow is modeled by using the Chandler-type multi-vehicle-following model. This model changes the vehicle acceleration rate according to the velocity differences between the vehicle and its multileader vehicles. After the model stability analysis, the traffic flow simulation is performed. The results reveal that the stable region of the model parameters expands according to the increase of the number of the leader vehicles.

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