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We study a paradigmatic system with long-range interactions: the Hamiltonian Mean-Field Model (HMF). It is shown that in the thermodynamic limit this model does not relax to the usual equilibrium Maxwell-Boltzmann distribution. Instead, the…

Statistical Mechanics · Physics 2011-07-08 Renato Pakter , Yan Levin

Neural computations emerge from myriads of neuronal interactions occurring in intricate spiking networks. Due to the inherent complexity of neural models, relating the spiking activity of a network to its structure requires simplifying…

Dynamical Systems · Mathematics 2019-02-12 François Baccelli , Thibaud Taillefumier

Atomistic modeling of thin-film processes provides an avenue not only for discovering key chemical mechanisms of the processes but also to extract quantitative metrics on the events and reactions taking place at the gas-surface interface.…

Materials Science · Physics 2025-05-05 S. Kondati Natarajan , J. Schneider , N. Pandey , J. Wellendorff , S. Smidstrup

In this paper, we present an innovative particle system characterized by moderate interactions, designed to accurately approximate kinetic flocking models that incorporate singular interaction forces and local alignment mechanisms. We…

Analysis of PDEs · Mathematics 2024-04-23 Jinhuan Wang , Keyu Li , Hui Huang

We develop a model of the solar dynamo in which, on the one hand, we follow the Babcock-Leighton approach to include surface processes like the production of poloidal field from the decay of active regions, and, on the other hand, we…

Astrophysics · Physics 2009-11-06 Dibyendu Nandy , Arnab Rai Choudhuri

Compatibilized polymer blends are a complex, yet versatile and widespread category of material. When the components of a binary blend are immiscible, they are typically driven towards a macrophase-separated state, but with the introduction…

The dynamical mean-field theory (DMFT) is employed to study the Mott transition in the semi-infinite Hubbard model at half-filling and zero temperature. We consider the low-index surfaces of the three-dimensional simple-cubic lattice and…

Strongly Correlated Electrons · Physics 2016-08-31 M. Potthoff , W. Nolting

The replica exchange molecular dynamics (REMD) approach is applied to four oligomeric peptide systems. At physiologically relevant temperature values REMD samples conformation space and aggregation transitions more efficiently than constant…

Biomolecules · Quantitative Biology 2009-11-10 M. Cecchini , F. Rao , M. Seeber , A. Caflisch

Psychological disorders like major depressive disorder can be seen as complex dynamical systems. By looking at symptom activation patterns, we can investigate the dynamic behaviour of individuals to see whether or not they are at risk for…

Applications · Statistics 2018-07-11 Jolanda J Kossakowski , Marijke CM Gordijn , Harriette Riese , Lourens J Waldorp

A new pairwise hybrid machine-learning/molecular mechanics (ML/MM) potential is introduced that is conceived for application to large, heterogeneous condensed-phase systems. The PhysNet ML method describes monomers and short-range dimer…

Chemical Physics · Physics 2026-03-17 Kham Lek Chaton , Eric D. Boittier , Mike Devereux , Markus Meuwly

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

Soft Condensed Matter · Physics 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

The dominant modeling framework for understanding cortical computations are heuristic firing rate models. Despite their success, these models fall short to capture spike synchronization effects, to link to biophysical parameters and to…

Neurons and Cognition · Quantitative Biology 2019-09-24 Tilo Schwalger , Anton V. Chizhov

We consider performing adiabatic rapid passage (ARP) using frequency-swept driving pulses to excite a collection of interacting two-level systems. Such a model arises in a wide range of many-body quantum systems, such as cavity QED or…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 R. T. Brierley , C. Creatore , P. B. Littlewood , P. R. Eastham

Realistic nuclear level densities (NLDs) obtained within the spectral distribution method (SDM) are employed to study nuclear processes of astrophysical interest. The merit of SDM lies in the fact that the NLDs corresponding to many body…

Nuclear Theory · Physics 2022-05-04 Sangeeta , T. Ghosh , B. Maheshwari , G. Saxena , B. K. Agrawal

Computing reaction rates in biomolecular systems is a common goal of molecular dynamics simulations. The reactions considered often involve conformational changes in the molecule, either changes in the structure of a protein or the relative…

Dynamical Systems · Mathematics 2013-07-03 Eric Darve , Ernest Ryu

The main difficulty that arises in the analysis of most machine learning algorithms is to handle, analytically and numerically, a large number of interacting random variables. In this Ph.D manuscript, we revisit an approach based on the…

Disordered Systems and Neural Networks · Physics 2021-03-11 Benjamin Aubin

Relativistic continuous matrix product states (RCMPS) are a powerful variational ansatz for quantum field theories of a single field. However, they inherit a property of their non-relativistic counterpart that makes them divergent for…

Quantum Physics · Physics 2025-11-27 Karan Tiwana , Antoine Tilloy

Machine Learning (ML) has become a promising tool for improving the quality of atomistic simulations. Using formaldehyde as a benchmark system for intramolecular interactions, a comparative assessment of ML models based on state-of-the-art…

We present an implementation of an efficient algorithm for the calculation of the spectrum of one-dimensional quantum systems with periodic boundary conditions. This algorithm is based on a matrix product representation for quantum states…

Statistical Mechanics · Physics 2016-12-05 Michael Weyrauch , Mykhailo V. Rakov

Dynamical mean-field approximations are performed to study the phase transition of a pair contact process with diffusion in different spatial dimensions. The level of approximation is extended up to 18-site clusters for the one-dimensional…

Statistical Mechanics · Physics 2007-05-23 Attila Szolnoki
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