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We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding…

Statistical Mechanics · Physics 2009-10-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi

Motivated by the dissipative abelian sandpile model, we analyze the trajectories of a one-dimensional random walk in a landscape of soft traps. These traps, placed at increasing distances from each other, correspond to dissipative sites in…

Mathematical Physics · Physics 2025-07-09 Frank Redig , Ellen Saada , Berend van Tol

We study numerically the avalanches in a two--dimensional critical height sandpile model with sand grains added at the center of the system. Smaller avalanches near the center of the system are isotropic. Larger avalanches are, however,…

Condensed Matter · Physics 2009-10-22 Gongwen Peng , Hans Herrmann

We investigate the liquid state structure of the two-dimensional (2D) model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)], which exhibits quasicrystalline and other unusual solid phases, focussing on the radial…

Soft Condensed Matter · Physics 2018-09-03 M. C. Walters , P. Subramanian , A. J. Archer , R. Evans

We study the crossover between classical and nonclassical critical behaviors. The critical crossover limit is driven by the Ginzburg number G. The corresponding scaling functions are universal with respect to any possible microscopic…

Statistical Mechanics · Physics 2009-10-31 A. Pelissetto , P. Rossi , E. Vicari

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

The dynamics of an elastic interface profile h(x,t) under a driving force increasing at rate c, a restored force -epsilon h, and disorder is investigated. Using perturbation theory and functional renormalization group the phase diagram and…

Condensed Matter · Physics 2007-05-23 Alexei Vazquez , Oscar Sotolongo-Costa

Scaling properties of the quantum Hall metal-insulator transition are severely affected by finite size effects in small systems. Surprisingly, despite the narrow spatial range where probability structure functions exhibit multifractal…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Moriconi , Ana L. C. Pereira , P. A. Schulz

We investigate the sandpile model with Yukawa-type interactions, whose effective range is tuned by an external parameter $R$. Our results reveal that at specific values of $R$, the system exhibits giant avalanches that span the system,…

Statistical Mechanics · Physics 2025-09-18 Abbas Shoja-Daliklidash , Morteza Nattagh Najafi

We analyze the behavior of different elastoplastic models approaching the yielding transition. We propose two kind of rules for the local yielding events: yielding occurs above the local threshold either at a constant rate or with a rate…

Disordered Systems and Neural Networks · Physics 2019-12-02 E. E. Ferrero , E. A. Jagla

We study systems with a crossover parameter lambda, such as the temperature T, which has a threshold value lambda* across which the correlation function changes from exhibiting fixed wavelength (or time period) modulations to continuously…

Statistical Mechanics · Physics 2015-02-25 Saurish Chakrabarty , Vladimir Dobrosavljevic , Alexander Seidel , Zohar Nussinov

We consider the Bak-Tang-Wiesenfeld sandpile model on square lattices in different dimensions (D>=6). A finite size scaling analysis of the avalanche probability distributions yields the values of the distribution exponents, the dynamical…

Condensed Matter · Physics 2009-10-30 S. Lubeck , K. D. Usadel

The non-linear bubble dynamics equations in a compressible liquid have been modified considering the effects of compressibility of both the liquid and the gas at the bubble interface. A new bubble boundary equation has been derived, which…

Fluid Dynamics · Physics 2009-11-10 Ahmad Moshaii , Rasool Sadighi-Bonabi , Mohammad Taeibi-Rahni

We study the scaling behavior of fidelity susceptibility density $(\chi_{\rm f})$ at or close to an anisotropic quantum critical point characterized by two different correlation length exponents $\nu_{||}$ and $\nu_{\bot}$ along parallel…

Statistical Mechanics · Physics 2011-06-20 Victor Mukherjee , Amit Dutta

The finite-size effects prominent in zero-range processes exhibiting a condensation transition are studied by using continuous-time Monte Carlo simulations. We observe that, well above the thermodynamic critical point, both static and…

Statistical Mechanics · Physics 2010-09-21 Janne Juntunen , Otto Pulkkinen , Juha Merikoski

We use quantum Monte-Carlo simulations to calculate the phase diagram and the correlation functions for the quantum phase transitions in the two-dimensional dissipative XY model with and without four-fold anisotropy. Without anisotropy, the…

Strongly Correlated Electrons · Physics 2015-06-05 Lijun Zhu , Yan Chen , Chandra M. Varma

Exact results of the finite-size behavior of the susceptibility in three-dimensional mean spherical model films under Dirichlet-Dirichlet, Dirichlet-Neumann and Neumann-Neumann boundary conditions are presented. The corresponding scaling…

Statistical Mechanics · Physics 2009-11-10 Daniel M. Dantchev , Jordan G. Brankov

We perform dynamical and nonlinear numerical simulations to study critical phenomena in the gravitational collapse of massless scalar fields in the absence of spherical symmetry. We evolve axisymmetric sets of initial data and examine the…

General Relativity and Quantum Cosmology · Physics 2019-02-18 Thomas W. Baumgarte

We study spatial anisotropy effects on the bulk and finite-size critical behavior of the O$(n)$ symmetric anisotropic $\phi^4$ lattice model with periodic boundary conditions in a $d$-dimensional hypercubic geometry above, at and below…

Statistical Mechanics · Physics 2009-11-13 Volker Dohm

We consider two-dimensional Ising models with randomly distributed ferromagnetic bonds and study the local critical behavior at defect lines by extensive Monte Carlo simulations. Both for ladder and chain type defects, non-universal…

Statistical Mechanics · Physics 2007-05-23 Ferenc Szalma , Ferenc Igloi
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