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We study the reaction-diffusion process $A + B \to \emptyset$ on uncorrelated scale-free networks analytically. By a mean-field ansatz we derive analytical expressions for the particle pair-correlations and the particle density. Expressing…

Statistical Mechanics · Physics 2009-11-11 Sebastian Weber , Markus Porto

Motivated by recent work showing that a quantum error correcting code can be generated by hybrid dynamics of unitaries and measurements, we study the long time behavior of such systems. We demonstrate that even in the "mixed" phase, a…

Quantum Physics · Physics 2022-08-02 Lukasz Fidkowski , Jeongwan Haah , Matthew B. Hastings

Jamming transition is traditionally regarded as a geometric transition governed by static contact networks. Recently, dynamic phase transitions of athermal particles under periodic shearing provide a new lens on this problem, leading to a…

Statistical Mechanics · Physics 2026-04-24 He-Da Wang , Bo Wang , Qun-Li Lei , Yu-Qiang Ma

We have computed the two and three-particle contribution to the entropy of a Weeks-Chandler-Andersen fluid via molecular dynamics simulations. The three-particle correlation function and entropy were computed with a new method which…

Statistical Mechanics · Physics 2020-01-08 Luca Maffioli , Nathan Clisby , Federico Frascoli , B. D. Todd

We develop a microscopic theory to analyze the phase behaviour and compute correlation functions of dense assemblies of soft repulsive particles both at finite temperature, as in colloidal materials, and at vanishing temperature, a…

Disordered Systems and Neural Networks · Physics 2011-11-09 Ludovic Berthier , Hugo Jacquin , Francesco Zamponi

We present a numerical study of 2D random-bond Potts ferromagnets. The model is studied both below and above the critical value $Q_c=4$ which discriminates between second and first-order transitions in the pure system. Two geometries are…

Statistical Mechanics · Physics 2009-10-31 Christophe Chatelain , Bertrand Berche

In this work, we have shown the important role of the finite-size correction to the work function in predicting the correct positions of the centroid of excess charge in positively charged simple metal clusters with different $r_s$ values…

Condensed Matter · Physics 2007-05-23 M. Payami

A zero-temperature critical point has been invoked to control the anomalous behavior of granular matter as it approaches jamming or mechanical arrest. Criticality manifests itself in an anomalous spectrum of low-frequency normal modes and…

Soft Condensed Matter · Physics 2014-10-22 Yanqing Hu , David L. Johnson , John J. Valenza , Francisco Santibanez , Hernán A. Makse

We investigate the effects of quenched bond randomness on the critical properties of the two-dimensional ferromagnetic Ising model embedded in a triangular lattice. The system is studied in both the pure and disordered versions by the same…

Statistical Mechanics · Physics 2010-04-16 Nikolaos G. Fytas , Anastasios Malakis

We consider continuous and discrete (1+1)-dimensional wetting models which undergo a localization/delocalization phase transition. Using a simple approach based on Renewal Theory we determine the precise asymptotic behavior of the partition…

Probability · Mathematics 2007-05-23 Francesco Caravenna , Giambattista Giacomin , Lorenzo Zambotti

We study the temperature-dependent quantum correction to conductivity due to the interplay of spin density fluctuations and weak disorder for a two-dimensional metal near an antiferromagnetic (AFM) quantum critical point. AFM spin density…

Strongly Correlated Electrons · Physics 2016-02-16 Philipp S. Weiß , Boris N. Narozhny , Jörg Schmalian , Peter Wölfle

Variable kernel density estimation allows the approximation of a probability density by the mean of differently stretched and rotated kernels centered at given sampling points $y_n\in\mathbb{R}^d,\ n=1,\dots,N$. Up to now, the choice of the…

Statistics Theory · Mathematics 2018-05-07 Ilja Klebanov

We present an analysis of finite-size effects in jammed packings of N soft, frictionless spheres at zero temperature. There is a 1/N correction to the discrete jump in the contact number at the transition so that jammed packings exist only…

Soft Condensed Matter · Physics 2015-06-04 Carl P. Goodrich , Andrea J. Liu , Sidney R. Nagel

Partial Volume effects are present at the boundary between any two types of material in a CT image due to the scanner's Point Spread Function, finite voxel resolution, and importantly, the discrepancy in radiodensity between the two…

Image and Video Processing · Electrical Eng. & Systems 2023-09-06 Aren Beagley , Hannah Richards , Joshua W. Giles

This paper studies linear discrete kinetic models on networks and their asymptotic behavior in the small Knudsen number limit. For coupling conditions at an n-edge junction under a symmetric formulation, we introduce a change of variables…

Numerical Analysis · Mathematics 2026-03-11 Axel Klar , Yizhou Zhou

Finite-size effects in systems with diverging characteristic lengthscale have been addressed via state-of-the-art Monte Carlo and molecular dynamics simulations of various models exhibiting solid-solid, liquid-liquid and vapor-liquid…

Statistical Mechanics · Physics 2018-03-09 Subir K. Das , Sutapa Roy , Suman Majumder , Shaista Ahmad

Computational models of atmospheric composition are not always physically consistent. For example, not all models respect fundamental conservation laws such as conservation of atoms in an interconnected chemical system. In well performing…

Atmospheric and Oceanic Physics · Physics 2024-08-30 Patrick Obin Sturm , Sam J. Silva

It is known that random k-CNF formulas have a so-called satisfiability threshold at a density (namely, clause-variable ratio) of roughly 2^k\ln 2: at densities slightly below this threshold almost all k-CNF formulas are satisfiable whereas…

Probability · Mathematics 2009-02-13 Uriel Feige , Abraham D. Flaxman , Dan Vilenchik

The application of concepts from equilibrium statistical mechanics to out-of-equilibrium systems has a long history of describing diverse systems ranging from glasses to granular materials. For dissipative jammed systems-- particulate…

Soft Condensed Matter · Physics 2016-03-29 Kun Wang , Chaoming Song , Ping Wang , Hernan A. Makse

We study the complexity of approximating the partition function of dense Ising models in the critical regime. Recent work of Chen, Chen, Yin, and Zhang (FOCS 2025) established fast mixing at criticality, and even beyond criticality in a…

Computational Complexity · Computer Science 2026-03-24 Andreas Galanis , Daniel Stefankovic , Eric Vigoda