## 14 Citations

Phase transitions in an Ising model on a Euclidean network.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

This work investigates the critical behavior of the Ising model on a one-dimensional network where spins interact with extra neighbors apart from their nearest neighbors for 0<or=delta<2, and observes that there is a finite temperature phase transition in the entire range.

Self-averaging behavior at the metal-insulator transition of many-body quantum systems out of equilibrium .

- Physics
- 2019

An observable of a disordered system is self-averaging when its properties do not depend on the specific realization considered. Lack of self-averaging, on the other hand, implies that sample to…

PHASE TRANSITIONS IN ISING MODEL INDUCED BY WEIGHT REDISTRIBUTION ON WEIGHTED REGULAR NETWORKS

- Computer Science
- 2013

The results suggest that the redistribution of link weights may provide an additional approach to optimize the dynamical behaviors of the system.

Properties of the superfluid in the disordered Bose-Hubbard model

- PhysicsPhysical Review A
- 2018

We investigate the properties of the superfluid phase in the three-dimensional disordered Bose-Hubbard model using quantum Monte Carlo simulations. The phase diagram is generated using Gaussian…

Numerical quenches of disorder in the Bose-Hubbard model : Quenches numéricos de desordem no modelo Bose-Hubbard

- Physics
- 2018

In this work the properties of the superfluid (SF) and Bose-glass (BG) phases in the threedimensional disordered Bose-Hubbard model are investigated using Quantum Monte-Carlo simulations. The phase…

Scaling of connected spin avalanches in growing networks.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2010

The results suggest that the avalanche spectra of connected spin avalanches in the exponential networks and the scale-free networks with antiferromagnetically coupled spins are characterized by the same statistics as the degree distribution in their home networks.

Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems

- Physics
- 2019

Despite its importance to experiments, numerical simulations, and the development of theoretical models, self-averaging in many-body quantum systems out of equilibrium remains underinvestigated.…

Multifractality and self-averaging at the many-body localization transition

- Physics
- 2021

Finite-size effects have been a major and justifiable source of concern for studies of many-body localization, and several works have been dedicated to the subject. In this paper, however, we discuss…

Critical phenomena in complex networks

- PhysicsArXiv
- 2007

A wide range of critical phenomena in equilibrium and growing networks including the birth of the giant connected component, percolation, $k$-core percolations, phenomena near epidemic thresholds, condensation transitions,critical phenomena in spin models placed on networks, synchronization, and self-organized criticality effects in interacting systems on networks are mentioned.

Asymmetric simple exclusion process in one-dimensional chains with long-range links

- Physics
- 2010

We study the boundary-driven asymmetric simple exclusion process (ASEP) in a one-dimensional chain with long-range links. Shortcuts are added to a chain by connecting $pL$ different pairs of sites…

## References

SHOWING 1-10 OF 23 REFERENCES

Exact solution of Ising model on a small-world network.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

This work presents an exact solution of a one-dimensional Ising chain with both nearest-neighbor and random long-range interactions and confirms the mean-field character of the transition.

Mean-field and anomalous behavior on a small-world network.

- PhysicsPhysical review letters
- 2003

It is shown that this model enables us, in many cases, to determine the universal critical properties of systems on a small-world network, as well as in the mean-field amplitudes.

Disorder averaging and finite-size scaling

- PhysicsPhysical review letters
- 2000

We propose a new picture of the renormalization group (RG) approach in the presence of disorder, which considers the RG trajectories of each random sample (realization) separately instead of the…

Comment on "Ising model on a small world network".

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

This work performs extensive Monte Carlo simulations of the Ising model and concludes that the phase transition in the model is of the mean-field nature, in contrast to the work by Pekalski, but in accordance with other existing studies.

Ising model in small-world networks.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

The Ising model in small-world networks generated from two- and three-dimensional regular lattices has been studied and the ferromagnetic transition appearing in these systems was characterized.

Universality class of thermally diluted ising systems at criticality

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

The universality class of thermally diluted Ising systems, in which the realization of the disposition of magnetic atoms and vacancies is taken from the local distribution of spins in the pure…

Small-world phenomena in physics: the Ising model

- Physics
- 2000

The Ising system with a small fraction of random long-range interactions is the simplest example of small-world phenomena in physics. Considering the latter both in an annealed and in a quenched…

Self-averaging, distribution of pseudocritical temperatures, and finite size scaling in critical disordered systems

- Physics
- 1998

The distributions $P(X)$ of singular thermodynamic quantities in an ensemble of quenched random samples of linear size $l$ at the critical point $T_c$ are studied by Monte Carlo in two models. Our…

Lack of self-averaging in critical disordered systems.

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 1995

A phenomenological theory of finite size scaling for disordered systems is developed and it is found that when the specific heat exponent $\alpha<0$ ($\alpha$ of the disordered model) then, for a quantity $P$ which scales as l^{\rho}$ at criticality, its variance will scale asymptotically as $l^{2\rho+\frac{\alpha}{\nu}}$.

Irrelevance of canonical or grand canonical constraints near a random fixed point in large L systems.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

The equivalence between canonical and grand canonical constraints near a random fixed point in a critical disordered system is confirmed by means of Monte Carlo simulations. The slow approach to the…