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The number of electrified powertrains is ever increasing today towards a more sustainable future; thus, it is essential that unwanted failures are prevented, and a reliable operation is secured. Monitoring the internal temperatures of…

Machine Learning · Computer Science 2025-04-28 Dinan Li , Panagiotis Kakosimos

We introduce an algorithmic model of heat conduction, the thermodynamic graph. The thermodynamic graph is analogous to meshes in the finite difference method in the sense that the calculation of temperature is carried out at the vertices of…

Computational Engineering, Finance, and Science · Computer Science 2018-02-02 O. Kurganskyy , A. J. Maksimova

We derive a functional for the entropy contributed by any microscopic degrees of freedom as arising from their measurable pair correlations. Applicable both in and out of equilibrium, this functional yields the maximum entropy which a…

Statistical Mechanics · Physics 2023-02-17 Benjamin Sorkin , Joshua Ricouvier , Haim Diamant , Gil Ariel

Sampling from discrete distributions with multiple modes and energy barriers is fundamental to machine learning and computational physics. Recent discrete neural samplers like MDNS suffer from mode collapse and fail to sample high-energy…

A transition matrix can be constructed through the partial contraction of two given quantum states. We analyze and compare four different definitions of entropy for transition matrices, including (modified) pseudo entropy, SVD entropy, and…

High Energy Physics - Theory · Physics 2025-08-21 Zhaohui Chen , Rene Meyer , Zhuo-Yu Xian

Over the past decades, research on two-dimensional melting has established that both first-order and continuous hexatic-liquid transitions can occur, influenced by various factors in the potential energy and system details. The fundamental…

Statistical Mechanics · Physics 2026-01-27 Yan-Wei Li , Rui Ding , Wen-Hao Ma

Contemporary work implies generative machine learning models are capable of learning the phase behavior in condensed matter systems such as the Ising model. In this Letter, we utilize a score-based modeling procedure called Thermodynamic…

Statistical Mechanics · Physics 2024-10-29 Eric R. Beyerle , Pratyush Tiwary

We propose a data-driven method to describe consistent equations of state (EOS) for arbitrary systems. Complex EOS are traditionally obtained by fitting suitable analytical expressions to thermophysical data. A key aspect of EOS are that…

Computational Physics · Physics 2022-04-04 David Rosenberger , Kipton Barros , Timothy C. Germann , Nicholas Lubbers

One reason that free energy difference calculations are notoriously difficult in molecular systems is due to insufficient conformational overlap, or similarity, between the two states or systems of interest. The degree of overlap is…

Biological Physics · Physics 2009-11-11 F. Marty Ytreberg , Daniel M. Zuckerman

Boltzmann sampling based on Metropolis algorithm has been extensively used for simulating a canonical ensemble. An estimate of a mechanical property, like energy, of an equilibrium system, can be made by averaging over a large number…

Statistical Mechanics · Physics 2017-10-04 K P N Murthy

The recently introduced nested sampling algorithm allows the direct and efficient calculation of the partition function of atomistic systems. We demonstrate its applicability to condensed phase systems with periodic boundary conditions by…

Statistical Mechanics · Physics 2014-01-09 Lívia B. Pártay , Albert P. Bartók , Gábor Csányi

We compute the thermodynamic phase diagram of seventeen elemental metals with hexagonal close-packed (hcp), face-centered cubic (fcc), and body-centered cubic (bcc) crystal structures using finite-temperature density functional theory.…

Materials Science · Physics 2026-04-15 S. Azadi , S. M. Vinko , A. Principi , T. D. Kuehne , M. S. Bahramy

Energy-based modeling is a promising approach to unsupervised learning, which yields many downstream applications from a single model. The main difficulty in learning energy-based models with the "contrastive approaches" is the generation…

Machine Learning · Computer Science 2021-11-30 Kirill Neklyudov , Priyank Jaini , Max Welling

Efficient and accurate algorithm for partition function, free energy and thermal entropy calculations is of great significance in statistical physics and quantum many-body physics. Here we present an unbiased but low-technical-barrier…

Statistical Mechanics · Physics 2024-11-19 Yi-Ming Ding , Jun-Song Sun , Nvsen Ma , Gaopei Pan , Chen Cheng , Zheng Yan

Thermal quenching has been used to find metastable materials such as hard steels and metallic glasses. More recently, quenching-based phase control has been applied to correlated electron systems that exhibit metal--insulator, magnetic or…

Materials Science · Physics 2025-04-25 Hiroshi Oike , Hidemaro Suwa , Yasunori Takahashi , Fumitaka Kagawa

In systems undergoing second order phase transitions, the temperature integral of the specific heat over temperature from zero to the critical temperature is the same in both the normal and ordered phases. This entropy balance relates the…

High Energy Physics - Theory · Physics 2015-06-09 Sean A. Hartnoll , Razieh Pourhasan

The nonequilibrium thermodynamics feature of a Brownian motor is investigated by obtaining exact time-dependent solutions. This in turn enables us to investigate not only the long time property (steady-state) but also the short time the…

Statistical Mechanics · Physics 2022-05-23 Mesfin Taye

Energy-filtered quantum states are promising candidates for efficiently simulating thermal states. We explore a protocol designed to transition a product state into an eigenstate located in the middle of the spectrum; this is achieved by…

Quantum Physics · Physics 2025-01-17 Gianluca Morettini , Luca Capizzi , Maurizio Fagotti , Leonardo Mazza

Identifying phase transitions is one of the key challenges in quantum many-body physics. Recently, machine learning methods have been shown to be an alternative way of localising phase boundaries also from noisy and imperfect data and…

Molecular dynamics simulation is employed to understand the thermodynamic behavior of cuboctahedron (cub) and icosahedron (ico) nanoparticles with 2-20 number of shells (55-28741 atoms). The embedded atom method was used to describe the…

Materials Science · Physics 2019-08-13 Maryam Azadeh , Movaffaq Kateb , Pirooz Marashi