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We show that several diffusion-based approximations (classical diffusion or SP1, SP2, SP3) to the linear Boltzmann equation can (for an infinite, homogeneous medium) be represented exactly by a non-classical transport equation. As a…

数学物理 · 物理学 2015-07-03 Martin Frank , Kai Krycki , Edward W. Larsen , Richard Vasques

This paper presents a new Matlab toolbox, aimed at facilitating the use of polynomial optimization for stability analysis of nonlinear systems. In the past decade several decisive contributions made it possible to recast this type of…

最优化与控制 · 数学 2024-04-03 Stéphane Drobot , Matteo Tacchi , Carmen Cardozo , Colin N. Jones

We present a method for reconstructing the phonon relaxation time distribution $\tau_{\omega}= \tau (\omega)$ (including polarization) in a material from thermal spectroscopy data. The distinguishing feature of this approach is that it does…

其他凝聚态物理 · 物理学 2018-05-30 Mojtaba Forghani , Nicolas G. Hadjiconstantinou

In this paper a spectral-Lagrangian method for the Boltzmann equation for a multi-energy level gas is proposed. Internal energy levels are treated as separate species and inelastic collisions (leading to internal energy excitation and…

数值分析 · 数学 2014-03-05 Alessandro Munafo , Jeffrey R. Haack , Irene M. Gamba , Thierry E. Magin

The linearized Boltzmann collision operator has a central role in many important applications of the Boltzmann equation. Recently some important classical properties of the linearized collision operator for monatomic single species were…

偏微分方程分析 · 数学 2024-03-14 Niclas Bernhoff

Understanding the electrical and thermal transport properties of materials is critical to the design of electronics, sensors and energy conversion devices. Computational modeling can accurately predict materials properties but, in order to…

The Bloch Siegert shift, a hallmark correction arising from counter-rotating interactions in driven two-level systems, has an exact counterpart in binary lattices under static forcing, where it governs resonant long-range tunneling between…

量子物理 · 物理学 2026-05-12 Ze-Sheng Xu , Liwei Duan , Rohan Yadgirkar , Andrea Cataldo , Adrian Iovan , Jun Gao , Ali W. Elshaari

Complex colloidal fluids, such as emulsions stabilized by complex shaped particles, play an important role in many industrial applications. However, understanding their physics requires a study at sufficiently large length scales while…

软凝聚态物质 · 物理学 2012-04-27 Florian Günther , Florian Janoschek , Stefan Frijters , Jens Harting

Kinetic theories constitute one of the most promising tools to decipher the characteristic spatio-temporal dynamics in systems of actively propelled particles. In this context, the Boltzmann equation plays a pivotal role, since it provides…

软凝聚态物质 · 物理学 2014-11-18 Florian Thüroff , Christoph A. Weber , Erwin Frey

The linear Boltzmann equation describes the macroscopic transport of a gas of non-interacting point particles in low-density matter. It has wide-ranging applications, including neutron transport, radiative transfer, semiconductors and ocean…

数学物理 · 物理学 2015-02-17 Jens Marklof , Andreas Strömbergsson

We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite…

强关联电子 · 物理学 2026-01-14 B Sriram Shastry

An algorithm for sequential calculation of non-isotropic matrix elements of the collision integral which are necessary for the solution of the non-linear Boltzmann equation by moment method is proposed. Isotropic matrix elements that we…

计算物理 · 物理学 2017-04-20 I. A. Ender , L. A. Bakaleinikov , E. Yu. Flegontova , A. B. Gerasimenko

We combine the linearized Boltzmann Transport Equation (LBTE) and quantum transport by means of the Non-equilibrium Green's Functions (NEGF) to simulate single-layer MoS2 and WS2 ultra-scaled transistors with carrier mobilities extracted…

介观与纳米尺度物理 · 物理学 2020-10-13 Youseung Lee , Sara Fiore , Mathieu Luisier

Two-dimensional layered materials have attracted tremendous attentions due to their extraordinary physical and chemical properties. Using first-principles calculations and Boltzmann transport theory, we give an accurate prediction of the…

介观与纳米尺度物理 · 物理学 2019-02-13 Z. Z. Zhou , H. J. Liu , D. D. Fan , G. H. Cao , C. Y. Sheng

Computer algebra systems play an important role in science as they facilitate the development of new theoretical models. The resulting symbolic equations are often implemented in a compiled programming language in order to provide fast and…

天体物理仪器与方法 · 物理学 2022-03-24 Uwe Schmitt , Beatrice Moser , Christiane S. Lorenz , Alexandre Refregier

Consider an elliptic operator in divergence form with symmetric coefficients.If the diffusion coefficients are periodic, the Bloch theorem allows one to diagonalize the elliptic operator, which is key to the spectral properties of the…

偏微分方程分析 · 数学 2018-09-20 Antoine Benoit , Antoine Gloria

We present a new Monte Carlo method for obtaining solutions of the Boltzmann equation for describing phonon transport in micro and nanoscale devices. The proposed method can resolve arbitrarily small signals (e.g. temperature differences)…

计算物理 · 物理学 2015-05-30 Jean-Philippe Peraud , Nicolas Hadjiconstantinou

Topological materials are often associated with exceptional thermoelectric properties. Orthorhombic BaMnSb2 is a topological semimetal consisting of alternating layers of Ba, Sb, and MnSb. A recent experiment demonstrates that BaMnSb2 has a…

材料科学 · 物理学 2024-03-05 Yubi Chen , Rongying Jin , Bolin Liao , Sai Mu

We have coded a Boltzmann solver based on a finite difference scheme (S_N method) aiming at calculations of neutrino transport in type II supernovae. Close comparison between the Boltzmann solver and a Monte Carlo transport code has been…

天体物理学 · 物理学 2007-05-23 Shoichi Yamada , Hans-Thomas Janka , Hideyuki Suzuki

We derive an exact, continuous-variable path integral (PI) representation of the canonical partition function for electronically nonadiabatic systems. Utilizing the Stock-Thoss (ST) mapping for an N-level system, matrix elements of the…

统计力学 · 物理学 2011-07-28 Nandini Ananth , Thomas F. Miller
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