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Related papers: Critical Exponents for Nuclear Multifragmentation:…

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Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

Lattice kinetic Monte Carlo simulations have become a vital tool for predictive quality atomistic understanding of complex surface chemical reaction kinetics over a wide range of reaction conditions. In order to expand their practical value…

Computational Physics · Physics 2017-03-08 Max J. Hoffmann , Felix Engelmann , Sebastian Matera

The results from ten statistical multifragmentation models have been compared with each other using selected experimental observables. Even though details in any single observable may differ, the general trends among models are similar.…

We investigate a $2d$-conservative lattice gas exhibiting a dynamical active-absorbing phase transition with critical density $\rho_c$. We derive the hydrodynamic equation for this model, showing that all critical exponents governing the…

Statistical Mechanics · Physics 2025-01-07 Clément Erignoux , Alexandre Roget , Assaf Shapira , Marielle Simon

The single-cluster Monte Carlo algorithm and the reweighting technique are used to simulate the 3D-ferromagnetic Ising model on three dimensional Voronoi-Delaunay lattices. It is assumed that the coupling factor $J$ varies with the distance…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. W. S. Lima , U. M. S. Costa , R. N. Costa Filho

In this paper we present a simple, yet typical simulation in statistical physics, consisting of large scale Monte Carlo simulations followed by an involved statistical analysis of the results. The purpose is to provide an example…

Computational Engineering, Finance, and Science · Computer Science 2014-01-10 M. Dolfi , J. Gukelberger , A. Hehn , J. Imriška , K. Pakrouski , T. F. Rønnow , M. Troyer , I. Zintchenko , F. Chirigati , J. Freire , D. Shasha

We discuss the effects of a trapping space-dependent potential on the critical dynamics of lattice gas models. Scaling arguments provide a dynamic trap-size scaling framework to describe how critical dynamics develops in the large trap-size…

Statistical Mechanics · Physics 2015-05-28 Gianluca Costagliola , Ettore Vicari

Multiplicity fluctuations of intermediate-mass fragments are studied with the percolation model. It is shown that super-Poissonian fluctuations occur near the percolation transition and that this behavior is associated with the…

Nuclear Theory · Physics 2009-10-31 Tarek Gharib , Wolfgang Bauer , Scott Pratt

A three-dimensional Multiphysics Lattice Discrete Particle Model (M-LDPM) framework is formulated to investigate the fracture permeability behavior of shale. The framework features a dual lattice system mimicking the mesostructure of the…

Geophysics · Physics 2019-02-12 Weixin Li , Xinwei Zhou , J. William Carey , Luke P. Frash , Gianluca Cusatis

Thermal and chiral critical exponents of the fully frustrated XY model on a square-lattice are obtained from a finite-size scaling analysis of the free energy of chiral domain walls. Data were obtained by extensive Monte Carlo transfer…

Condensed Matter · Physics 2009-10-22 E. Granato , M. P. Nightingale

Recent years have seen a growing interest in the thermodynamic cost of dissipative structures formed by active particles. Given the strong finite-size effects of such systems, it is essential to develop efficient numerical approaches that…

Soft Condensed Matter · Physics 2025-03-24 Ki-Won Kim , Euijoon Kwon , Yongjoo Baek

We show that critical systems of finite size develop a fractal structure in momentum space with anomalous dimension given in terms of the isotherm critical exponent delta of the corresponding infinite system. The associated power laws of…

High Energy Physics - Phenomenology · Physics 2016-02-17 Nikolaos G. Antoniou , Nikolaos Davis , Fotios K. Diakonos

We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin re-orientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the…

Statistical Mechanics · Physics 2009-10-31 K. Nho , E. Manousakis

An extensive experimental survey of the features of the disassembly of a small quasi-projectile system with $A \sim$ 36, produced in the reactions of 47 MeV/nucleon $^{40}$Ar + $^{27}$Al, $^{48}$Ti and $^{58}$Ni, has been carried out.…

Taking the two-dimensional Ising model for example, short-time behavior of critical dynamics with a conserved order parameter is investigated by Monte Carlo simulations. Scaling behavior is observed, but the dynamic exponent $z$ is updating…

Statistical Mechanics · Physics 2009-11-07 B. Zheng

The relation between critical exponents, characterizing a continuous phase transition, and the fractal structure of physical lines, proliferating at the critical point, is established by considering the two-dimensional O($N$) spin model for…

Statistical Mechanics · Physics 2007-05-23 Wolfhard Janke , Adriaan M. J. Schakel

High-precision measurements in neutrino oscillation experiments require a very accurate description of the lepton-nucleus scattering process. Several cross-section calculations are available, but important discrepancies are still present…

Nuclear Theory · Physics 2024-01-12 Valerio Belocchi , Maria Benedetta Barbaro , Arturo De Pace , Marco Martini

We discuss the dynamics of finite systems within molecular dynamics models. Signatures of a critical behavior are analyzed and compared to experimental data both in nucleus-nucleus and metallic cluster collisions. We suggest the possibility…

Nuclear Theory · Physics 2017-08-23 A. Bonasera , T. Maruyama , S. Chiba

We report an essential improvement of the plain Fourier Monte Carlo algorithm that promises to be a powerful tool for investigating critical behavior in a large class of lattice models, in particular those containing microscopic or…

Statistical Mechanics · Physics 2015-02-17 Andreas Tröster

Critical systems have always intrigued physicists and precipitated the development of new techniques. Recently, there has been renewed interest in the information contained in their classical configurations, whose computation do not require…

Statistical Mechanics · Physics 2017-01-04 Ching Hua Lee , Dai Ozaki , Hiroaki Matsueda