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A finite-temperature many-body perturbation theory is presented that expands in power series the electronic grand potential, chemical potential, internal energy, and entropy on an equal footing. Sum-over-states and sum-over-orbitals…

Chemical Physics · Physics 2020-07-15 So Hirata , Punit K. Jha

Accurately evaluating finite-temperature properties of quantum many-body systems remains a central challenge. Many existing quantum approaches typically require thermal-state preparation at each target temperature, making low-temperature…

Quantum Physics · Physics 2026-04-15 Hiroto Yamamoto , Katsuhiro Morita

A quantitative theory is developed, which accounts for heating artifacts in three-pulse photon echo (3PE) experiments. The heat diffusion equation is solved and the average value of the temperature in the focal volume of the laser is…

Statistical Mechanics · Physics 2009-10-30 Peter Neu , Robert J. Silbey , Stephan J. Zilker , Dietrich Haarer

Statistical mechanics is founded on the assumption that a system can reach thermal equilibrium, regardless of the starting state. Interactions between particles facilitate thermalization, but, can interacting systems always equilibrate…

The accurate modeling of mode hybridization and calculation of radiative relaxation rates have been crucial to the design and optimization of superconducting quantum devices. In this work, we introduce a spectral theory for the…

Quantum Physics · Physics 2024-04-11 Dung N. Pham , Richard D. Li , Hakan E. Türeci

Efficient and accurate spectral solvers for nonlocal models in any spatial dimension are presented. The approach we pursue is based on the Fourier multipliers of nonlocal Laplace operators introduced in a previous work. It is demonstrated…

Numerical Analysis · Mathematics 2019-07-30 Bacim Alali , Nathan Albin

The thermodynamics and dynamics of a one dimensional dimer-forming anharmonic model is studied in the classical limit. This model mimics the behavior of materials with a Peierls instability. Specific heat, correlation length, and order…

Statistical Mechanics · Physics 2009-10-31 Vasili Perebeinos , Philip B. Allen , James Napolitano

Protected zero modes in quantum physics traditionally arise in the context of ground states of many-body Hamiltonians. Here we study the case where zero modes exist in the center of a reflection-symmetric many-body spectrum, giving rise to…

Strongly Correlated Electrons · Physics 2018-08-01 Michael Schecter , Thomas Iadecola

Problems of temperature behavior of specific heat are solved by the entropy simulation method for Ising models on a simple square lattice and a square spin ice (SSI) lattice with nearest neighbor interaction, models of hexagonal lattices…

Disordered Systems and Neural Networks · Physics 2018-01-11 Yu. A. Shevchenko , A. G. Makarov , P. D. Andriushchenko , K. V. Nefedev

A phenomenological approach is presented that allows one to model, and thereby interpret, photoemission spectra of strongly correlated electron systems. A simple analytical formula for the self-energy is proposed. This self-energy describes…

Strongly Correlated Electrons · Physics 2009-11-07 Krzysztof Byczuk , Ralf Bulla , Ralph Claessen , Dieter Vollhardt

The nonexponential relaxation ocurring in complex dynamics manifested in a wide variety of systems is analyzed through a simple model of diffusion in phase space. It is found that the inability of the system to find its equilibrium state in…

Statistical Mechanics · Physics 2009-11-10 A. Perez-Madrid

In modern surgery, a multitude of minimally intrusive operational techniques are used which are based on the punctual heating of target zones of human tissue via laser or radio-frequency currents. Traditionally, these processes are modeled…

Medical Physics · Physics 2008-11-21 M. M. Tung , M. Trujillo , J. A. Lopez Molina , M. J. Rivera , E. J. Berjano

We use exact diagonalization to study the eigenstate thermalization hypothesis (ETH) in the quantum dimer model on the square and triangular lattices. Due to the nonergodicity of the local plaquette-flip dynamics, the Hilbert space, which…

Statistical Mechanics · Physics 2017-09-25 Zhihao Lan , Stephen Powell

The time sequences of the molecular dynamics simulation for the folding process of a protein is analyzed with the inherent structure landscape which focuses on configurational dynamics of the system. Time dependent energy and entropy for…

Statistical Mechanics · Physics 2013-02-13 Naoko Nakagawa

Macroscopic models which distinguish the longitudinal and transverse temperatures can provide improved descriptions of the microscopic shock structures as revealed by molecular dynamics simulations. Additionally, we can include three…

Statistical Mechanics · Physics 2010-05-11 Wm. G. Hoover , Carol G. Hoover , Francisco J. Uribe

We introduce a supercooled liquid model and obtain parameter-free quantitative predictions that are in excellent agreement with numerical simulations, notably in the hard low-temperature region characterized by strong deviations from…

Disordered Systems and Neural Networks · Physics 2020-05-19 Tommaso Rizzo , Thomas Voigtmann

While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation; at high temperatures, this understanding must accommodate how phonons…

Materials Science · Physics 2015-10-20 Tian Lan

This work presents a rigorous prediction of the effective equations governing the paramagnetic-ferromagnetic phase transition in a perforated three-dimensional body. Assuming a periodic distribution of perforations, we investigate the…

Analysis of PDEs · Mathematics 2025-08-29 Catherine Choquet , Mohamed Ouhadan , Mouhcine Tilioua

Due to the infrared problem of high-temperature field theory, a robust study of the electroweak phase transition (EWPT) requires use of non-perturbative methods. We apply the method of high-temperature dimensional reduction to the two Higgs…

High Energy Physics - Phenomenology · Physics 2019-02-19 Tyler Gorda , Andreas Helset , Lauri Niemi , Tuomas V. I. Tenkanen , David J. Weir

The usefulness of semi-analytical thermal models for predicting the connection between process, microstructure and properties in powder bed fusion has been well illustrated in recent years. Such an approach provides the promise of accuracy…

Materials Science · Physics 2024-04-05 Shaun R. Cooke , Chadwick W. Sinclair , Daan M. Maijer