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In this paper, we first develop the projective truncation approximation (PTA) in the Green's function equation of motion (EOM) formalism for classical statistical models. To implement PTA for a given Hamiltonian, we choose a set of basis…

Statistical Mechanics · Physics 2022-08-11 Kou-Han Ma , Yan-Jiang Guo , Lei Wang , Ning-Hua Tong

In this Tutorial, we describe the use of the quasiharmonic approximation and first-principles density functional theory (DFT) to calculate and analyze the thermal expansion of insulating solids. We discuss the theory underlying the…

Materials Science · Physics 2019-11-15 Ethan T. Ritz , Sabrina J. Li , Nicole A. Benedek

In previous works, the projected truncation approximation (PTA) was developed as a systematic and controlled method to truncate the equation of motion of Green's functions (GFs) for a given quantum or classical many-body Hamiltonian. The…

Strongly Correlated Electrons · Physics 2026-05-20 Kou-Han Ma , Yue-Hong Wu , Ning-Hua Tong

We calculate spectral functions of the relativistic $O(4)$ model from real-time lattice simulations in classical-statistical field theory. While in the low and high temperature phase of the model, the spectral functions of longitudinal…

High Energy Physics - Lattice · Physics 2019-12-05 Sören Schlichting , Dominik Smith , Lorenz von Smekal

We develop a molecular dynamics framework to compute the mode-resolved phonon spectral density from classical correlations of an annihilation-like phonon variable. For harmonic oscillators, classical molecular dynamics exactly reproduces…

Materials Science · Physics 2026-04-22 Zezhu Zeng , Michele Simoncelli , David E. Manolopoulos

In the realm of thermal expansion determination, the quasiharmonic approximation (QHA) stands as a widely embraced method for discerning minima of free energies across diverse temperatures such that the temperature dependence of lattice…

Materials Science · Physics 2024-07-12 Samare Rostami , Xavier Gonze

We report first-principles phonon frequencies and anharmonic thermodynamic properties of h.c.p. Re and Tc calculated within the quasi-harmonic approximation, including Gr\"uneisen parameters, temperature-dependent lattice parameters,…

Materials Science · Physics 2017-07-06 Mauro Palumbo , Andrea Dal Corso

The phonon Boltzmann transport equation (BTE) has been widely utilized to study thermal transport in solids. While for a number of materials the exact solution to the BTE has been obtained for a uniform heat flow, problems arising in…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Vazrik Chiloyan , Samuel Huberman , Zhiwei Ding , Jonathan Mendoza , Alexei A. Maznev , Keith A. Nelson , Gang Chen

Transient grating spectroscopy has emerged as a useful technique to study thermal phonon transport because of its ability to perform thermal measurements over length scales comparable to phonon mean free paths (MFPs). While several prior…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Austin J. Minnich

We study thermal broadening of the hole spectral function of the two-dimensional t-J model (and its extensions) within the non-crossing approximation with and without the contribution of optical phonons. We find that phonons at finite…

Strongly Correlated Electrons · Physics 2008-08-12 Satyaki Kar , Efstratios Manousakis

Suitably superimposed grey-medium solutions of the Boltzmann transport equation (BTE) provide a simple yet accurate description of non-grey quasiballistic heat conduction in transient thermal grating experiments. Recent applications of…

Mesoscale and Nanoscale Physics · Physics 2016-08-22 Bjorn Vermeersch , Ali Shakouri

We study the spectral properties of a highly occupied non-Abelian non-equilibrium plasma appearing ubiquitously in weak coupling descriptions of QCD matter. The spectral function of this far-from-equilibrium plasma is measured by employing…

High Energy Physics - Phenomenology · Physics 2018-11-30 K. Boguslavski , A. Kurkela , T. Lappi , J. Peuron

We compute the single particle spectral function of a Bose liquid on a lattice, at integer filling, close to the superfluid-Mott transition. We use a `static path approximation' that retains all the classical thermal fluctuations in the…

Strongly Correlated Electrons · Physics 2017-12-13 Abhishek Joshi , Pinaki Majumdar

By making use of the finite-temperature real-time static potential that was introduced and computed to leading non-trivial order in Hard Thermal Loop resummed perturbation theory in recent work, and solving numerically a Schr\"odinger-type…

High Energy Physics - Phenomenology · Physics 2009-11-13 M. Laine

We report first-principles phonon frequencies and anharmonic thermodynamic properties of h.c.p. Os and Ru calculated within the quasi-harmonic approximation, including Gruneisen parameters, temperature-dependent lattice parameters, thermal…

Materials Science · Physics 2018-07-10 Mauro Palumbo , Andrea Dal Corso

Knowledge of lattice anharmonicity is essential to elucidate distinctive thermal properties in crystalline solids. Yet, accurate \textit{ab initio} investigations of lattice anharmonicity encounter difficulties owing to the cumbersome…

Materials Science · Physics 2022-04-13 Zhen Zhang , Dong-Bo Zhang , Tao Sun , Renata M. Wentzcovitch

Despite the widespread use of silicon in modern technology, its peculiar thermal expansion is not well-understood. Adapting harmonic phonons to the specific volume at temperature, the quasiharmonic approximation, has become accepted for…

In this paper, an improved quasi-particle model is presented. Unlike the previous approach of establishing quasi-particle model, we introduce a classical background field (it is allowed to depend on the temperature) to deal with the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jing Cao , Yu Jiang , Wei-min Sun , Hong-shi Zong

Classical thermal transport theories that preserve rotational symmetry, predict strong anharmonic scattering of out-of-plane lattice vibrational modes called flexural phonons in flat suspended graphene sheets. Such strong scattering…

Materials Science · Physics 2026-04-07 Navaneetha K. Ravichandran

We formulate a theory of thermal expansion based on the self-consistent phonon (SCP) theory, which nonperturbatively considers the anharmonic effect. We show that the Gr\"unseisen formula holds within the SCP theory by replacing the phonon…

Materials Science · Physics 2022-12-20 Ryota Masuki , Takuya Nomoto , Ryotaro Arita , Terumasa Tadano
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