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Inverse statistical problems: from the inverse Ising problem to data science 反统计问题:从反伊辛问题到数据科学
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2017-02-06 DOI: 10.1080/00018732.2017.1341604
H. Nguyen, R. Zecchina, J. Berg
Inverse problems in statistical physics are motivated by the challenges of ‘big data’ in different fields, in particular high-throughput experiments in biology. In inverse problems, the usual procedure of statistical physics needs to be reversed: Instead of calculating observables on the basis of model parameters, we seek to infer parameters of a model based on observations. In this review, we focus on the inverse Ising problem and closely related problems, namely how to infer the coupling strengths between spins given observed spin correlations, magnetizations, or other data. We review applications of the inverse Ising problem, including the reconstruction of neural connections, protein structure determination, and the inference of gene regulatory networks. For the inverse Ising problem in equilibrium, a number of controlled and uncontrolled approximate solutions have been developed in the statistical mechanics community. A particularly strong method, pseudolikelihood, stems from statistics. We also review the inverse Ising problem in the non-equilibrium case, where the model parameters must be reconstructed based on non-equilibrium statistics.
统计物理学中的逆问题是由不同领域的“大数据”挑战所激发的,特别是生物学中的高通量实验。在反问题中,通常的统计物理过程需要颠倒过来:我们不是根据模型参数计算可观测值,而是根据观测值推断模型的参数。在这篇综述中,我们关注逆伊辛问题和密切相关的问题,即如何根据观察到的自旋相关性、磁化强度或其他数据推断自旋之间的耦合强度。我们回顾了逆伊辛问题的应用,包括神经连接的重建、蛋白质结构的确定和基因调控网络的推断。对于平衡态的伊辛逆问题,统计力学界已经发展了许多有控制和无控制的近似解。一个特别强大的方法,伪可能性,源于统计。我们还回顾了非平衡情况下的逆Ising问题,其中模型参数必须基于非平衡统计重建。
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引用次数: 219
Electron-volt neutron spectroscopy: beyond fundamental systems 电子伏特中子光谱学:超越基本系统
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2017-01-02 DOI: 10.1080/00018732.2017.1317963
C. Andreani, M. Krzystyniak, G. Romanelli, R. Senesi, F. Fernandez-Alonso
This work provides an up-to-date account of the use of electron-volt neutron spectroscopy in materials research. This is a growing area of neutron science, capitalising upon the unique insights provided by epithermal neutrons on the behaviour and properties of an increasing number of complex materials. As such, the present work builds upon the aims and scope of a previous contribution to this journal back in 2005, whose primary focus was on a detailed description of the theoretical foundations of the technique and their application to fundamental systems [see Andreani et al., Adv. Phys. 54 (2005) p.377] A lot has happened since then, and this review intends to capture such progress in the field. With both expert and novice in mind, we start by presenting the general principles underpinning the technique and discuss recent conceptual and methodological developments. We emphasise the increasing use of the technique as a non-invasive spectroscopic probe with intrinsic mass selectivity, as well as the concurrent use of neutron diffraction and first-principles computational materials modelling to guide and interpret experiments. To illustrate the state of the art, we discuss in detail a number of recent exemplars, chosen to highlight the use of electron-volt neutron spectroscopy across physics, chemistry, biology, and materials science. These include: hydrides and proton conductors for energy applications; protons, deuterons, and oxygen atoms in bulk water; aqueous protons confined in nanoporous silicas, carbon nanotubes, and graphene-related materials; hydrated water in proteins and DNA; and the uptake of molecular hydrogen by soft nanostructured media, promising materials for energy-storage applications. For the primary benefit of the novice, this last case study is presented in a pedagogical and question-driven fashion, in the hope that it will stimulate further work into uncharted territory by newcomers to the field. All along, we emphasise the increasing (and much-needed) synergy between experiments using electron-volt neutrons and contemporary condensed matter theory and materials modelling to compute and ultimately understand neutron-scattering observables, as well as their relation to materials properties not amenable to scrutiny using other experimental probes.
这项工作提供了电子伏特中子光谱学在材料研究中的最新应用。这是中子科学的一个不断发展的领域,利用超热中子对越来越多的复杂材料的行为和性质提供的独特见解。因此,目前的工作建立在2005年本刊前一篇文章的目标和范围之上,该文章的主要重点是详细描述该技术的理论基础及其在基本系统中的应用[见Andreani et al., Adv. Phys. 54 (2005) p.377]从那时起发生了很多事情,这篇综述旨在捕捉该领域的进展。考虑到专家和新手,我们首先介绍支撑该技术的一般原则,并讨论最近的概念和方法发展。我们强调越来越多地使用该技术作为具有内在质量选择性的非侵入性光谱探针,以及同时使用中子衍射和第一性原理计算材料建模来指导和解释实验。为了说明技术的现状,我们详细讨论了一些最近的例子,选择突出电子伏特中子光谱在物理,化学,生物学和材料科学中的应用。这些包括:用于能源应用的氢化物和质子导体;散装水中的质子、氘核和氧原子;水质子限制在纳米多孔硅,碳纳米管和石墨烯相关材料;蛋白质和DNA中的水合水;而软纳米结构介质对分子氢的吸收,是储能应用的有前途的材料。为了新手的主要利益,最后一个案例研究以教学和问题驱动的方式呈现,希望它将刺激新来者进入未知领域的进一步工作。一直以来,我们强调使用电子伏特中子和当代凝聚态理论和材料建模的实验之间日益增加的(和急需的)协同作用,以计算并最终理解中子散射可观测值,以及它们与材料特性的关系,这些特性不适合使用其他实验探针进行审查。
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引用次数: 75
Nonsurgical endodontic therapy along with minimal invasive treatment utilizing Bhasker's hypothesis for the management of infected radicular cystic lesion: A rare case report. 非手术牙髓疗法和利用巴斯克假说的微创疗法治疗根管囊肿感染:罕见病例报告。
IF 1.2 1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2016-10-01 DOI: 10.4103/0976-237X.194098
Sanjeev Kumar Salaria, Shilpa Kamra, Simrat Kaur Ghuman, Garima Sharma

Radicular cyst (RC) is the most common odontogenic cyst of inflammatory origin affecting the jaws; involves the roots of the carious or traumatic non-vital tooth. Different therapeutic modalities, such as nonsurgical endodontic therapy or surgical enucleation with primary closure, decompression etc., were proposed for the management of such lesions. Presenting a case of a 28-year-old otherwise healthy male patient who reported with pain and swelling with respect to tooth #41, 31. Diagnosis of infected RC at a rare location was established on the basis of clinical, radiographical and fine needle aspiration cytological examination. Looking after the clinical characteristics, origin, extension, size of cystic lesion and patient cooperation; nonsurgical endodontic therapy utilizing Bhasker's hypothesis was opted. One year post-operative result suggested that nonsurgical endodontic therapy along with minimally invasive treatment utilizing Bhasker's hypothesis is an effective tool to transform infected radicular cystic lesion to healthy periapical periodontal tissue.

根管囊肿(RC)是影响颌骨的最常见的牙源性炎性囊肿,累及龋齿或外伤性非重要牙齿的根部。针对此类病变的治疗,人们提出了不同的治疗方法,如非手术牙髓治疗或带有原封闭、减压等功能的外科根管治疗。本病例是一名 28 岁的健康男性患者,他报告说 41 号牙、31 号牙和 31 号牙出现疼痛和肿胀。根据临床、放射学和细针穿刺细胞学检查,确诊为罕见部位的感染性 RC。考虑到临床特征、起源、延伸、囊性病变的大小和患者的合作情况,采用了巴斯克假说的非手术牙髓疗法。术后一年的结果表明,非手术牙髓治疗和利用巴斯克假说的微创治疗是将感染性根尖囊肿病变转化为健康根尖周牙周组织的有效工具。
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引用次数: 0
Physics of transparent conductors 透明导体的物理学
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2016-09-28 DOI: 10.1080/00018732.2016.1226804
Jinwei Gao, K. Kempa, M. Giersig, E. Akinoglu, B. Han, Ruopeng Li
Transparent conductors (TCs) are materials, which are characterized by high transmission of light and simultaneously very high electrical DC conductivity. These materials play a crucial role, and made possible numerous applications in the fields of electro-optics, plasmonics, biosensing, medicine, and “green energy”. Modern applications, for example in the field of touchscreen and flexible displays, require that TCs are also mechanically strong and flexible. TC can be broadly classified into two categories: uniform and non-uniform TC. The uniform TC can be viewed as conventional metals (or electron plasmas) with plasma frequency located in the infrared frequency range (e.g. transparent conducting oxides), or ultra-thin metals with large plasma frequency (e.g. graphen). The physics of the nonuniform TC is much more complex, and could involve transmission enhancement due to refraction (including plasmonic), and exotic effects of electron transport, including percolation and fractal effects. This review ties the TC performance to the underlying physical phenomena. We begin with the theoretical basis for studying the various phenomena encountered in TC. Next, we consider the uniform TC, and discuss first the conventional conducting oxides (such as indium tin oxide), reviewing advantages and limitations of these classic uniform electron plasmas. Next, we discuss the potential of single- and multiple-layer graphene as uniform TC. In the part of the paper dealing with non-uniform metallic films, we begin with the review of random metallic networks. The transparency of these networks could be enhanced beyond the classical shading limit by the plasmonic refractive effects. The electrical conduction strongly depends on the network type, and we review first networks made of individual metallic nanowires, where conductivity depends on the inter-wire contact, and the percolation effects. Next, we review the uniform metallic film networks, which are free of the percolation effects and contact problems. In applications that require high-quality electric contact of a TC to an active substrate (such as LED or solar cells), the network performance can be optimized by employing a quasi-fractal structure of the network. We also consider the periodic metallic networks, where active plasmonic refraction leads to the phenomenon of the extraordinary optical transmission. We review the relevant literature on this topic, and demonstrate networks, which take advantage of this strategy (the bio-inspired leaf venation (LV) network, hybrid networks, etc.). Finally, we review “smart” TCs, with an added functionality, such as light interference, metamaterial effects, built-in semiconductors, and their junctions.
透明导体(TCs)是一种具有高透光性和高直流电导电性的材料。这些材料起着至关重要的作用,并使电光、等离子体、生物传感、医学和“绿色能源”等领域的许多应用成为可能。现代应用,例如在触摸屏和柔性显示器领域,要求tc也具有机械强度和柔韧性。温度控制大致可分为均匀温度控制和非均匀温度控制两类。均匀TC可以看作是等离子体频率位于红外频率范围内的传统金属(或电子等离子体)(例如透明导电氧化物)或具有大等离子体频率的超薄金属(例如石墨)。非均匀TC的物理性质要复杂得多,可能涉及由于折射(包括等离子体)引起的透射增强,以及电子传递的奇异效应,包括渗透和分形效应。这篇综述将TC性能与潜在的物理现象联系起来。我们从研究TC中遇到的各种现象的理论基础开始。其次,我们考虑均匀电子等离子体,并首先讨论了传统的导电氧化物(如氧化铟锡),回顾了这些经典均匀电子等离子体的优点和局限性。接下来,我们讨论了单层和多层石墨烯作为均匀TC的潜力。在讨论非均匀金属薄膜的部分,我们首先回顾了随机金属网络。这些网络的透明度可以通过等离子体折射效应提高到经典遮光限制之外。电导率很大程度上取决于网络类型,我们首先回顾了由单个金属纳米线组成的网络,其中电导率取决于线间接触和渗透效应。其次,我们回顾了均匀的金属膜网络,它没有渗透效应和接触问题。在需要TC与有源基板(如LED或太阳能电池)高质量电接触的应用中,可以通过采用网络的准分形结构来优化网络性能。我们还考虑了周期性金属网络,其中主动等离子体折射导致了异常光传输现象。我们回顾了这一主题的相关文献,并展示了利用这一策略的网络(生物启发叶脉(LV)网络,混合网络等)。最后,我们回顾了具有附加功能的“智能”tc,例如光干涉,超材料效应,内置半导体及其结。
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引用次数: 92
Deconstructing the glass transition through critical experiments on colloids 通过对胶体的关键实验解构玻璃化转变
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2016-07-03 DOI: 10.1080/00018732.2016.1200832
Shreyas Gokhale, A. Sood, R. Ganapathy
The glass transition is the most enduring grand-challenge problem in contemporary condensed matter physics. Here, we review the contribution of colloid experiments to our understanding of this problem. First, we briefly outline the success of colloidal systems in yielding microscopic insights into a wide range of condensed matter phenomena. In the context of the glass transition, we demonstrate their utility in revealing the nature of spatial and temporal dynamical heterogeneity. We then discuss the evidence from colloid experiments in favor of various theories of glass formation that has accumulated over the last two decades. In the next section, we expound on the recent paradigm shift in colloid experiments from an exploratory approach to a critical one aimed at distinguishing between predictions of competing frameworks. We demonstrate how this critical approach is aided by the discovery of novel dynamical crossovers within the range accessible to colloid experiments. We also highlight the impact of alternate routes to glass formation such as random pinning, trajectory space phase transitions and replica coupling on current and future research on the glass transition. We conclude our review by listing some key open challenges in glass physics such as the comparison of growing static length scales and the preparation of ultrastable glasses that can be addressed using colloid experiments.
玻璃化转变是当代凝聚态物理学中最具挑战性的问题。在这里,我们回顾了胶体实验对我们理解这个问题的贡献。首先,我们简要概述了胶体系统在广泛的凝聚态现象中产生微观见解的成功。在玻璃化转变的背景下,我们展示了它们在揭示空间和时间动态异质性本质方面的效用。然后,我们讨论了胶体实验的证据,支持过去二十年来积累的各种玻璃形成理论。在下一节中,我们将阐述胶体实验中最近的范式转变,从探索性方法转变为旨在区分竞争框架预测的关键方法。我们展示了这种关键方法是如何通过在胶体实验范围内发现新的动态交叉来帮助的。我们还强调了随机钉钉、轨迹空间相变和副本耦合等替代途径对玻璃转变的影响,以及当前和未来的研究。最后,我们列出了玻璃物理学中一些关键的开放挑战,如生长静态长度尺度的比较和超稳定玻璃的制备,这些可以通过胶体实验来解决。
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引用次数: 39
Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach 强相关材料和高温超导体的超快光谱学:一种非平衡方法
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2016-01-26 DOI: 10.1080/00018732.2016.1194044
C. Giannetti, M. Capone, D. Fausti, M. Fabrizio, F. Parmigiani, D. Mihailovic
In the last two decades non-equilibrium spectroscopies have evolved from avant-garde studies to crucial tools for expanding our understanding of the physics of strongly correlated materials. The possibility of obtaining simultaneously spectroscopic and temporal information has led to insights that are complementary to (and in several cases beyond) those attainable by studying the matter at equilibrium. From this perspective, multiple phase transitions and new orders arising from competing interactions are benchmark examples where the interplay among electrons, lattice and spin dynamics can be disentangled because of the different timescales that characterize the recovery of the initial ground state. For example, the nature of the broken-symmetry phases and of the bosonic excitations that mediate the electronic interactions, eventually leading to superconductivity or other exotic states, can be revealed by observing the sub-picosecond dynamics of impulsively excited states. Furthermore, recent experimental and theoretical developments have made it possible to monitor the time-evolution of both the single-particle and collective excitations under extreme conditions, such as those arising from strong and selective photo-stimulation. These developments are opening the way for new, non-equilibrium phenomena that can eventually be induced and manipulated by short laser pulses. Here, we review the most recent achievements in the experimental and theoretical studies of the non-equilibrium electronic, optical, structural and magnetic properties of correlated materials. The focus will be mainly on the prototypical case of correlated oxides that exhibit unconventional superconductivity or other exotic phases. The discussion will also extend to other topical systems, such as iron-based and organic superconductors, and charge-transfer insulators. With this review, the dramatically growing demand for novel experimental tools and theoretical methods, models and concepts, will clearly emerge. In particular, the necessity of extending the actual experimental capabilities and the numerical and analytic tools to microscopically treat the non-equilibrium phenomena beyond the simple phenomenological approaches represents one of the most challenging new frontiers in physics.
在过去的二十年里,非平衡光谱已经从前卫的研究发展成为扩展我们对强相关材料物理学理解的关键工具。同时获得光谱和时间信息的可能性已经导致了对平衡态物质研究所能获得的见解的补充(在某些情况下甚至超越了这些见解)。从这个角度来看,多重相变和竞争相互作用产生的新秩序是基准例子,其中电子,晶格和自旋动力学之间的相互作用可以被解开,因为不同的时间尺度表征了初始基态的恢复。例如,通过观察脉冲激发态的亚皮秒动力学,可以揭示破坏对称相和介导电子相互作用,最终导致超导或其他奇异状态的玻色子激发的性质。此外,最近的实验和理论发展使得在极端条件下监测单粒子和集体激发的时间演化成为可能,例如那些由强和选择性光刺激引起的条件。这些发展为新的非平衡现象开辟了道路,这些现象最终可以由短激光脉冲诱导和操纵。本文综述了相关材料的非平衡电子、光学、结构和磁性等方面的最新实验和理论研究成果。重点将主要放在相关氧化物的原型上,这些氧化物表现出非常规的超导性或其他奇特的相。讨论还将扩展到其他专题系统,如铁基和有机超导体,以及电荷转移绝缘体。随着这一综述,对新的实验工具和理论方法、模型和概念的需求急剧增长,将清楚地出现。特别是,扩展实际实验能力和数值和分析工具的必要性,超越简单的现象学方法,从微观上处理非平衡现象,这是物理学中最具挑战性的新领域之一。
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引用次数: 314
Optical methods for quantitative and label-free sensing in living human tissues: principles, techniques, and applications. 活体人体组织中定量和无标记传感的光学方法:原理、技术和应用。
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2016-01-01 Epub Date: 2016-09-01 DOI: 10.1080/23746149.2016.1221739
Robert H Wilson, Karthik Vishwanath, Mary-Ann Mycek

We present an overview of quantitative and label-free optical methods used to characterize living biological tissues, with an emphasis on emerging applications in clinical tissue diagnostics. Specifically, this review focuses on diffuse optical spectroscopy, imaging, and tomography, optical coherence-based techniques, and non-linear optical methods for molecular imaging. The potential for non- or minimally-invasive assessment, quantitative diagnostics, and continuous monitoring enabled by these tissue-optics technologies provides significant promise for continued clinical translation.

我们提出了定量和无标签光学方法的概述,用于表征活的生物组织,在临床组织诊断新兴应用的重点。具体来说,这篇综述集中在漫射光谱学、成像和断层扫描、基于光学相干的技术和分子成像的非线性光学方法。这些组织光学技术具有无创或微创评估、定量诊断和连续监测的潜力,为持续的临床转化提供了重要的希望。
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引用次数: 0
Statistical physics of inference: thresholds and algorithms 统计物理推理:阈值和算法
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2015-11-08 DOI: 10.1080/00018732.2016.1211393
L. Zdeborová, F. Krzakala
Many questions of fundamental interest in today's science can be formulated as inference problems: some partial, or noisy, observations are performed over a set of variables and the goal is to recover, or infer, the values of the variables based on the indirect information contained in the measurements. For such problems, the central scientific questions are: Under what conditions is the information contained in the measurements sufficient for a satisfactory inference to be possible? What are the most efficient algorithms for this task? A growing body of work has shown that often we can understand and locate these fundamental barriers by thinking of them as phase transitions in the sense of statistical physics. Moreover, it turned out that we can use the gained physical insight to develop new promising algorithms. The connection between inference and statistical physics is currently witnessing an impressive renaissance and we review here the current state-of-the-art, with a pedagogical focus on the Ising model which, formulated as an inference problem, we call the planted spin glass. In terms of applications we review two classes of problems: (i) inference of clusters on graphs and networks, with community detection as a special case and (ii) estimating a signal from its noisy linear measurements, with compressed sensing as a case of sparse estimation. Our goal is to provide a pedagogical review for researchers in physics and other fields interested in this fascinating topic.
当今科学中的许多基本问题都可以表述为推理问题:对一组变量进行部分或有噪声的观察,目标是根据测量中包含的间接信息恢复或推断变量的值。对于这些问题,核心的科学问题是:在什么条件下,测量中包含的信息足以使一个令人满意的推断成为可能?对于这个任务,最有效的算法是什么?越来越多的工作表明,我们通常可以通过将它们视为统计物理学意义上的相变来理解和定位这些基本障碍。此外,事实证明,我们可以利用获得的物理洞察力来开发新的有前途的算法。推理和统计物理学之间的联系目前正在经历一个令人印象深刻的复兴,我们在这里回顾当前的最新技术,教学重点是伊辛模型,它被表述为一个推理问题,我们称之为种植自旋玻璃。在应用方面,我们回顾了两类问题:(i)在图和网络上的聚类推断,社区检测是一种特殊情况;(ii)从噪声线性测量中估计信号,压缩感知是稀疏估计的一种情况。我们的目标是为物理学和其他领域对这个迷人话题感兴趣的研究人员提供一个教学回顾。
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引用次数: 335
Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology 多铁性材料与磁电物理:对称、纠缠、激发与拓扑
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2015-11-02 DOI: 10.1080/00018732.2015.1114338
S. Dong, Jun-ming Liu, S. Cheong, Z. Ren
Multiferroics are those materials with more than one ferroic order, and magnetoelectricity refers to the mutual coupling between magnetism (spins and/or magnetic field) and electricity (electric dipoles and/or electric field). In spite of the long research history in the whole twentieth century, the discipline of multiferroicity has never been so highly active as that in the first decade of the twenty-first century, and it has become one of the hottest disciplines of condensed matter physics and materials science. A series of milestones and steady progress in the past decade have enabled our understanding of multiferroic physics substantially comprehensive and profound, which is further pushing forward the research frontier of this exciting area. The availability of more multiferroic materials and improved magnetoelectric performance are approaching to make the applications within reach. While seminal review articles covering the major progress before 2010 are available, an updated review addressing the new achievements since that time becomes imperative. In this review, following a concise outline of the basic knowledge of multiferroicity and magnetoelectricity, we summarize the important research activities on multiferroics, especially magnetoelectricity and related physics in the last six years. We consider not only single-phase multiferroics but also multiferroic heterostructures. We address the physical mechanisms regarding magnetoelectric coupling so that the backbone of this divergent discipline can be highlighted. A series of issues on lattice symmetry, magnetic ordering, ferroelectricity generation, electromagnon excitations, multiferroic domain structure and domain wall dynamics, and interfacial coupling in multiferroic heterostructures, will be revisited in an updated framework of physics. In addition, several emergent phenomena and related physics, including magnetic skyrmions and generic topological structures associated with magnetoelectricity will be discussed. The review is ended with a set of prospectives and forward-looking conclusions, which may inevitably reflect the authors' biased opinions but are certainly critical.
多铁性材料是指具有一个以上铁序的材料,磁电是指磁(自旋和/或磁场)和电(电偶极子和/或电场)之间的相互耦合。在整个二十世纪,多铁性学科有着悠久的研究历史,但在二十一世纪的头十年里,多铁性学科表现出前所未有的活跃,已成为凝聚态物理和材料科学中最热门的学科之一。在过去的十年中,一系列里程碑式的进展使我们对多铁物理的理解更加全面和深刻,这进一步推动了这一激动人心的领域的研究前沿。更多的多铁性材料的可用性和改进的磁电性能正在接近使应用成为可能。虽然有涵盖2010年之前主要进展的开创性评论文章,但一份针对2010年以来新成就的最新评论变得势在必行。本文在简要介绍多铁性和磁电的基本知识的基础上,总结了近六年来多铁性,特别是磁电及其相关物理学的重要研究活动。我们不仅考虑单相多铁质,而且考虑多铁质异质结构。我们解决关于磁电耦合的物理机制,以便突出这一不同学科的主干。一系列关于晶格对称、磁有序、铁电的产生、电介子激发、多铁畴结构和畴壁动力学以及多铁异质结构中的界面耦合的问题,将在一个更新的物理框架中重新审视。此外,一些紧急现象和相关的物理,包括磁天空和一般拓扑结构与磁电将被讨论。审查以一系列前瞻性和前瞻性的结论结束,这些结论可能不可避免地反映了作者的偏见,但肯定是关键的。
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引用次数: 588
From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics 从量子混沌和本征态热化到统计力学和热力学
1区 物理与天体物理 Q1 PHYSICS, CONDENSED MATTER Pub Date : 2015-09-21 DOI: 10.1080/00018732.2016.1198134
L. D'Alessio, Y. Kafri, A. Polkovnikov, M. Rigol
This review gives a pedagogical introduction to the eigenstate thermalization hypothesis (ETH), its basis, and its implications to statistical mechanics and thermodynamics. In the first part, ETH is introduced as a natural extension of ideas from quantum chaos and random matrix theory (RMT). To this end, we present a brief overview of classical and quantum chaos, as well as RMT and some of its most important predictions. The latter include the statistics of energy levels, eigenstate components, and matrix elements of observables. Building on these, we introduce the ETH and show that it allows one to describe thermalization in isolated chaotic systems without invoking the notion of an external bath. We examine numerical evidence of eigenstate thermalization from studies of many-body lattice systems. We also introduce the concept of a quench as a means of taking isolated systems out of equilibrium, and discuss results of numerical experiments on quantum quenches. The second part of the review explores the implications of quantum chaos and ETH to thermodynamics. Basic thermodynamic relations are derived, including the second law of thermodynamics, the fundamental thermodynamic relation, fluctuation theorems, the fluctuation–dissipation relation, and the Einstein and Onsager relations. In particular, it is shown that quantum chaos allows one to prove these relations for individual Hamiltonian eigenstates and thus extend them to arbitrary stationary statistical ensembles. In some cases, it is possible to extend their regimes of applicability beyond the standard thermal equilibrium domain. We then show how one can use these relations to obtain nontrivial universal energy distributions in continuously driven systems. At the end of the review, we briefly discuss the relaxation dynamics and description after relaxation of integrable quantum systems, for which ETH is violated. We present results from numerical experiments and analytical studies of quantum quenches at integrability. We introduce the concept of the generalized Gibbs ensemble and discuss its connection with ideas of prethermalization in weakly interacting systems.
本文对特征态热化假说(ETH)、其基础及其在统计力学和热力学中的意义进行了教学介绍。在第一部分中,ETH作为量子混沌和随机矩阵理论(RMT)思想的自然延伸被介绍。为此,我们简要概述了经典混沌和量子混沌,以及RMT及其一些最重要的预测。后者包括可观测值的能级统计、特征态分量和矩阵元素。在此基础上,我们引入了ETH,并表明它允许人们在不调用外部浴池概念的情况下描述孤立混沌系统中的热化。我们从多体晶格系统的研究中检验本征态热化的数值证据。我们还介绍了猝灭的概念,作为使孤立系统脱离平衡的一种手段,并讨论了量子猝灭的数值实验结果。第二部分探讨了量子混沌和ETH对热力学的影响。导出了基本热力学关系,包括热力学第二定律、基本热力学关系、涨落定理、涨落-耗散关系以及爱因斯坦和昂萨格关系。特别是,量子混沌允许人们证明这些关系的个别哈密顿特征态,从而将它们扩展到任意平稳统计系综。在某些情况下,有可能将它们的适用范围扩展到标准热平衡领域之外。然后,我们展示了如何使用这些关系来获得连续驱动系统中的非平凡通用能量分布。在回顾的最后,我们简要讨论了违反ETH的可积量子系统的弛豫动力学和弛豫后的描述。本文给出了可积量子猝灭的数值实验和解析研究结果。我们引入了广义Gibbs系综的概念,并讨论了它与弱相互作用系统中预热化思想的联系。
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引用次数: 1541
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Advances in Physics
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