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Previous studies on the generalized XY model have concentrated on the equilibrium phase diagram and the equilibrium nature of distinct phases under varying parameter conditions. We direct our attention towards examining the systems…

Soft Condensed Matter · Physics 2024-04-19 Partha Sarathi Mondal , Pawan Kumar Mishra , Shradha Mishra

We study the critical properties of a two--dimensional Ising model with competing ferromagnetic exchange and dipolar interactions, which models an ultra-thin magnetic film with high out--of--plane anisotropy in the monolayer limit. We…

Statistical Mechanics · Physics 2009-11-11 S. A. Cannas , M. F. Michelon , D. A. Stariolo , F. A. Tamarit

Thermal errors in machine tools significantly impact machining precision and productivity. Traditional thermal error correction/compensation methods rely on measured temperature-deformation fields or on transfer functions. Most existing…

Machine Learning · Computer Science 2025-10-07 C. Coelho , M. Hohmann , D. Fernández , L. Penter , S. Ihlenfeldt , O. Niggemann

Diffusion models are typically trained using score matching, a learning objective agnostic to the underlying noising process that guides the model. This paper argues that Markov noising processes enjoy an advantage over alternatives, as the…

Machine Learning · Statistics 2025-05-27 Zheyang Shen , Huihui Wang , Marina Riabiz , Chris J. Oates

The classification of phase transitions is a central and challenging task in condensed matter physics. Typically, it relies on the identification of order parameters and the analysis of singularities in the free energy and its derivatives.…

Strongly Correlated Electrons · Physics 2019-07-31 Askery Canabarro , Felipe Fernandes Fanchini , André Luiz Malvezzi , Rodrigo Pereira , Rafael Chaves

Phase change process plays a critical role in thermal management systems, yet quantitative characterization of multiphase heat transfer remains limited by the challenges of measuring temperature fields in chaotic, rapidly evolving flow…

Machine Learning · Computer Science 2026-02-03 Qianxi Fu , Youngjoon Suh , Xiaojing Zhang , Sanghyeon Chang , Yoonjin Won

We consider the fundamental problem of learning the parameters of an undirected graphical model or Markov Random Field (MRF) in the setting where the edge weights are chosen at random. For Ising models, we show that a multiplicative-weight…

Machine Learning · Computer Science 2024-11-19 Gautam Chandrasekaran , Adam Klivans

Simulating transition dynamics between metastable states is a fundamental challenge in dynamical systems and stochastic processes with wide real-world applications in understanding protein folding, chemical reactions and neural activities.…

Machine Learning · Computer Science 2024-10-22 Haibo Wang , Yuxuan Qiu , Yanze Wang , Rob Brekelmans , Yuanqi Du

Generative models based on denoising diffusion techniques have led to an unprecedented increase in the quality and diversity of imagery that is now possible to create with neural generative models. However, most contemporary…

Machine Learning · Computer Science 2022-11-24 Vikram Voleti , Christopher Pal , Adam Oberman

Generative models of complex systems often require post-hoc parameter adjustments to produce useful outputs. For example, energy-based models for protein design are sampled at an artificially low ''temperature'' to generate novel,…

Quantitative Methods · Quantitative Biology 2025-12-11 Peter W Fields , Vudtiwat Ngampruetikorn , David J Schwab , Stephanie E Palmer

Deep generative models such as diffusion and flow matching are powerful machine learning tools capable of learning and sampling from high-dimensional distributions. They are particularly useful when the training data appears to be…

High Energy Physics - Phenomenology · Physics 2026-04-30 Zachary Bogorad , Ibrahim Elsharkawy , Yonatan Kahn , Andrew J. Larkoski , Noam Levi

A theoretical study of the variation of thermodynamic and transport properties of calamitic liquid crystals across the isotropic-nematic phase transition is carried out by calculating the {\it wavenumber (k) and time (t)} dependent…

Soft Condensed Matter · Physics 2008-02-18 Prasanth P. Jose , Biman Bagchi

Deformations of amorphous polymer networks prepared with significant concentrations of liquid crystalline mesogens have been recently reported to undergo mechanotropic phase transitions. Here, we report that these mechanotropic phase…

Soft Condensed Matter · Physics 2021-06-09 Jeremy A. Koch , Jeremy A. Herman , Timothy J. White

The Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a degree (or connectivity) distribution $P(k) \sim k^{-\gamma}$. The ferromagnetic-paramagnetic…

Statistical Mechanics · Physics 2009-11-10 Carlos P. Herrero

We present a machine-learning method for predicting sharp transitions in a Hamiltonian phase diagram by extrapolating the properties of quantum systems. The method is based on Gaussian Process regression with a combination of kernels chosen…

Other Condensed Matter · Physics 2019-04-26 Rodrigo A. Vargas-Hernández , John Sous , Mona Berciu , Roman V. Krems

Predicting and characterizing phase transitions is crucial for understanding generic physical phenomena such as crystallization, protein folding and others. However, directly observing phase transitions is not always easy, and often one has…

Statistical Mechanics · Physics 2025-03-20 Suemin Lee , Ruiyu Wang , Lukas Herron , Pratyush Tiwary

Originating from image recognition, methods of machine learning allow for effective feature extraction and dimensionality reduction in multidimensional datasets, thereby providing an extraordinary tool to deal with classical and quantum…

Statistical Mechanics · Physics 2019-01-16 Albert A. Shirinyan , Valerii K. Kozin , Johan Hellsvik , Manuel Pereiro , Olle Eriksson , Dmitry Yudin

Machine learning techniques such as artificial neural networks are currently revolutionizing many technological areas and have also proven successful in quantum physics applications. Here we employ an artificial neural network and deep…

Soft condensed matter structures often challenge us with complex many-body phenomena governed by collective modes spanning wide spatial and temporal domains. In order to successfully tackle such problems mesoscopic coarse-grained (CG)…

Soft Condensed Matter · Physics 2023-07-12 Vlad P Sokhan , Michael A Seaton , Ilian T Todorov

We study numerically the coarsening dynamics of the Ising model on a regular lattice with random bonds and on deterministic fractal substrates. We propose a unifying interpretation of the phase-ordering processes based on two classes of…

Statistical Mechanics · Physics 2015-06-24 Federico Corberi , Eugenio Lippiello , Raffaella Burioni , Alessandro Vezzani , Marco Zannetti
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