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In computer experiments, a mathematical model implemented on a computer is used to represent complex physical phenomena. These models, known as computer simulators, enable experimental study of a virtual representation of the complex…

Methodology · Statistics 2012-07-03 Hugh Chipman , Pritam Ranjan , Weiwei Wang

We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by…

Soft Condensed Matter · Physics 2024-04-04 Florian Sammüller , Sophie Hermann , Matthias Schmidt

We review the data gathering and analysis procedure used in real Einstein-Podolsky-Rosen-Bohm experiments with photons and we illustrate the procedure by analyzing experimental data. Based on this analysis, we construct event-based computer…

Quantum Physics · Physics 2007-12-26 H. De Raedt , K. De Raedt , K. Michielsen , K. Keimpema , S. Miyashita

Turbulence cascade has been modeled using various methods; the one we have used applies to a more exact representation of turbulence where people use the multifractal representation. The nature of the energy dissipation is usually governed…

Fluid Dynamics · Physics 2024-12-31 Vicente Corral Arreola , Arturo Rodriguez , Vinod Kumar

Inspired by Einstein-Podolsky-Rosen-Bohm experiments with photons, we construct an event-based simulation model in which every essential element in the ideal experiment has a counterpart. The model satisfies Einstein's criteria of local…

Quantum Physics · Physics 2007-12-18 Hans De Raedt , Koen De Raedt , Kristel Michielsen , Koenraad Keimpema , Seiji Miyashita

What basic processes generate hierarchy in a collective? The Bonabeau model provides us a simple mechanism based on randomness which develops self-organization through both winner/looser effects and relaxation process. A phase transition…

Physics and Society · Physics 2009-11-11 Lucas Lacasa , Bartolo Luque

The Social Force Model is one of the most prominent models of pedestrian dynamics. As such naturally much discussion and criticism has spawned around it, some of which concerns the existence of oscillations in the movement of pedestrians.…

Physics and Society · Physics 2015-07-10 Tobias Kretz

We give a comprehensive self-contained review on the rigorous analysis of the thermodynamics of a class of random spin systems of mean field type whose most prominent example is the Hopfield model. We focus on the low temperature phase and…

Disordered Systems and Neural Networks · Physics 2008-02-03 Anton Bovier , Veronique Gayrard

Often mistakenly seen as a game, the online 3D immersive virtual world Second Life (SL) is itself a huge and sophisticated simulator of an entire Earthlike world. Differently from other metaverses where physical laws are not seriously taken…

Physics Education · Physics 2015-09-22 Renato P. dos Santos

The local dynamical features of a PEO melt studied by MD simulations are compared to two model chain systems, namely the well-known Rouse model as well as the semiflexible chain model (SFCM) that additionally incorporates chain stiffness.…

Soft Condensed Matter · Physics 2015-05-19 Diddo Diddens , Martin Brodeck , Andreas Heuer

We continue a previous work in which {\em a priori} estimates were derived on subgrid stress and subgrid flux for filtering schemes used in the turbulence modelling method of Large-Eddy Simulation (LES). The estimates were derived there as…

chao-dyn · Physics 2008-02-03 Gregory L. Eyink

The Sznajd model, which describes opinion formation and social influence, is treated analytically on a complete graph. We prove the existence of the phase transition in the original formulation of the model, while for the Ochrombel…

Statistical Mechanics · Physics 2007-05-23 F. Slanina , H. Lavicka

This is a review for Elsevier's Encyclopedia of mathematical physics.

Mathematical Physics · Physics 2009-08-18 Christian Gruber , Daniel Ueltschi

Complex phenomena in engineering and the sciences are often modeled with computationally intensive feed-forward simulations for which a tractable analytic likelihood does not exist. In these cases, it is sometimes necessary to estimate an…

Methodology · Statistics 2020-06-18 Niccolò Dalmasso , Ann B. Lee , Rafael Izbicki , Taylor Pospisil , Ilmun Kim , Chieh-An Lin

The model of Bonabeau explains the emergence of social hierarchies from the memory of fights in an initially egalitarian society. Introducing a feedback from the social inequality into the probability to win a fight, we find a sharp…

Statistical Mechanics · Physics 2009-11-07 Dietrich Stauffer

Models for which the likelihood function can be evaluated only up to a parameter-dependent unknown normalising constant, such as Markov random field models, are used widely in computer science, statistical physics, spatial statistics, and…

Computation · Statistics 2016-02-12 Richard G. Everitt , Adam M. Johansen , Ellen Rowing , Melina Evdemon-Hogan

Science is a fundamental human activity and we trust its results because it has several error-correcting mechanisms. Its is subject to experimental tests that are replicated by independent parts. Given the huge amount of information…

Physics and Society · Physics 2011-03-25 Andre C. R. Martins

We present a brief survey of methods that utilize computer simulations and quantum and statistical mechanics in the analysis of electrochemical systems. The methods, Molecular Dynamics and Monte Carlo simulations and quantum-mechanical…

Chemical Physics · Physics 2009-10-15 P. A. Rikvold , I. Abou Hamad , T. Juwono , D. T. Robb , M. A. Novotny

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…

Statistical Mechanics · Physics 2022-01-19 Takahiro Ezaki

Simple models for spherical particles with a soft shell have been shown to self-assemble into numerous crystal phases and even quasicrystals. However, most of these models rely on a simple pairwise interaction, which is usually a valid…

Soft Condensed Matter · Physics 2020-09-03 Emanuele Boattini , Nina Bezem , Sudeep N. Punnathanam , Frank Smallenburg , Laura Filion