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Information engines can use structured environments as a resource to generate work by randomizing ordered inputs and leveraging the increased Shannon entropy to transfer energy from a thermal reservoir to a work reservoir. We give a broadly…

Statistical Mechanics · Physics 2017-02-01 Alexander B. Boyd , Dibyendu Mandal , James P. Crutchfield

An analytic method for deriving the free energy of a three-dimensional Ising-like system near the critical point in a homogeneous external field is developed in the $\rho^6$ model approximation. The mathematical description proposed for…

Statistical Mechanics · Physics 2007-11-21 I. V. Pylyuk

Perfectly rational decision-makers maximize expected utility, but crucially ignore the resource costs incurred when determining optimal actions. Here we propose an information-theoretic formalization of bounded rational decision-making…

Statistics Theory · Mathematics 2015-06-04 Pedro A. Ortega , Daniel A. Braun

This work presents a diffusion transformer framework for data-driven structural topology optimization that combines the accuracy of physics-based methods with the efficiency of generative deep learning. Conventional approaches such as the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Based on the idea of maintaining physical diffuse interface kinetics, enhancing interfacial diffusivity has recently provided a new direction for quantitative phase-field simulation at microstructural length and time scale. Establishing a…

Materials Science · Physics 2024-05-21 Yue Li , Lei Wang , Junjie Li , Jincheng Wang , Zhijun Wang

In modern generative-AI workloads, matrix-vector/matrix-matrix multiplications (\emph{MatMul}) dominate the compute and energy cost. Achieving dramatic reductions in energy per token therefore requires a novel, specialized hardware that is…

Other Condensed Matter · Physics 2026-03-11 Denis Mamaluy , Md Rahatul Islam Udoy , Juan P. Mendez , Ben Feinberg , Wei Pan , Ahmedullah Aziz

It has been a long challenge to analytically construct the quantitative temperature-dependent multi-well free-energy landscape over the space of order parameters describing phase transitions and associated critical phenomena. Here we…

Materials Science · Physics 2022-12-07 Yi Wang , Tiannan Yang , Shun-Li Shang , Long-Qing Chen , Zi-Kui Liu

Kirkwood-Buff integrals (KBI) connect the microscopic structure and thermodynamic properties of liquid solutions. KBI are defined in the grand canonical ensemble and evaluated assuming the thermodynamic limit (TL). In order to reconcile…

Statistical Mechanics · Physics 2022-02-16 Mauricio Sevilla , Robinson Cortes-Huerto

Free energy calculations based on atomistic Hamiltonians and sampling are key to a first principles understanding of biomolecular processes, material properties, and macromolecular chemistry. Here, we generalize the Free Energy Perturbation…

Computational Physics · Physics 2023-07-19 Martin Reinhardt , Helmut Grubmüller

We show how to use the multiple histogram method to combine canonical ensemble Monte Carlo simulations made at different temperatures and densities. The method can be applied to study systems of particles with arbitrary interaction…

Statistical Mechanics · Physics 2009-10-31 A. L. Ferreira , M. A. Barroso

We present a method for determining the free energy dependence on a selected number of collective variables using an adaptive bias. The formalism provides a unified description which has metadynamics and canonical sampling as limiting…

Statistical Mechanics · Physics 2008-03-31 Alessandro Barducci , Giovanni Bussi , Michele Parrinello

We put forward a gauge-invariant theoretical framework for studying time-resolved thermoelectric transport in an arbitrary multiterminal electronic quantum system described by a non-interacting tight-binding model. The system is driven out…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Adel Kara Slimane , Phillipp Reck , Geneviève Fleury

Alchemical free energy calculations are a useful tool for predicting free energy differences associated with the transfer of molecules from one environment to another. The hallmark of these methods is the use of "bridging" potential energy…

We introduce the Binless Multidimensional Thermodynamic Integration (BMTI) method for nonparametric, robust, and data-efficient density estimation. BMTI estimates the logarithm of the density by initially computing log-density differences…

Machine Learning · Statistics 2026-05-18 Matteo Carli , Alex Rodriguez , Alessandro Laio , Aldo Glielmo

Recently, some of us developed a novel model glass-forming liquid with k extra interactions with pseudo neighbours to each liquid particle over and above the regular interactions with its neighbours. Analysis of the structure and dynamics…

Situations where a spontaneous process of energy or matter transfer is enhanced by an external device are widespread in nature (human sweating system, enzyme catalysis, facilitated diffusion across bio-membranes, industrial heat…

Statistical Mechanics · Physics 2010-07-21 Karen Hovhannisyan , Armen E. Allahverdyan

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

We derive the optimal estimates of the free energies of an arbitrary number of thermodynamic states from nonequilibrium work measurements; the work data are collected from forward and reverse switching processes and obey a fluctuation…

Statistical Mechanics · Physics 2009-11-11 Paul Maragakis , Martin Spichty , Martin Karplus

Understanding the thermal behavior of additive manufacturing (AM) processes is crucial for enhancing the quality control and enabling customized process design. Most purely physics-based computational models suffer from intensive…

Machine Learning · Computer Science 2023-01-20 Shuheng Liao , Tianju Xue , Jihoon Jeong , Samantha Webster , Kornel Ehmann , Jian Cao