Physics ReportsPub Date : 2024-11-16DOI: 10.1016/j.physrep.2024.11.003
Karyn Le Hur
{"title":"Interacting topological quantum aspects with light and geometrical functions","authors":"Karyn Le Hur","doi":"10.1016/j.physrep.2024.11.003","DOIUrl":"10.1016/j.physrep.2024.11.003","url":null,"abstract":"<div><div>I review my recent progress and develop a geometrical approach in the quantum with light as a guide, from the vector potential in classical physics, revealing that topological properties can be equivalently measured from the poles of a sphere. The topological state is induced on the Bloch sphere of a spin-1/2 particle from a radial magnetic field related to the physics of Skyrmions. This shows a relation between the global topological response being measured at the poles, the response to a circularly polarized field and the quantum metric. I show how this approach is helpful for the classification of matter with the detection of the global topological invariant at specific points in the Brillouin zone, e.g. the Dirac points, from the responses to electromagnetic waves such as circularly polarized light and from new geometrical functions associated to the quantum metric measuring the quantum Hall and spin Hall conductivities. The <span><math><mi>M</mi></math></span> point associated to the Brillouin zone of the honeycomb lattice also reveals the topological signature. Interactions are included in momentum space within a stochastic variational approach. In a realistic quantum model of interacting spins, this leads to fractional topological entangled aspects with a correspondence between a pair of half invariants and a Einstein–Podolsky–Rosen (EPR) pair or Bell state at one pole. I also formulate a correspondence between fractional topological numbers and resonating valence bond states. This approach gives further insight on the characterization of topological matter linked to superconductivity, protected topological semimetals in two dimensions and on the search of Majorana fermions for topologically protected quantum information. We also address a correspondence with the fractional quantum Hall effect and surface states of three-dimensional topological insulators.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1104 ","pages":"Pages 1-42"},"PeriodicalIF":23.9,"publicationDate":"2024-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142657528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2024-11-14DOI: 10.1016/j.physrep.2024.10.008
Xiaowen Chen , Roman Adam , Daniel E. Bürgler , Fangzhou Wang , Zhenyan Lu , Lining Pan , Sarah Heidtfeld , Christian Greb , Meihong Liu , Qingfang Liu , Jianbo Wang , Claus M. Schneider , Derang Cao
{"title":"Ultrafast demagnetization in ferromagnetic materials: Origins and progress","authors":"Xiaowen Chen , Roman Adam , Daniel E. Bürgler , Fangzhou Wang , Zhenyan Lu , Lining Pan , Sarah Heidtfeld , Christian Greb , Meihong Liu , Qingfang Liu , Jianbo Wang , Claus M. Schneider , Derang Cao","doi":"10.1016/j.physrep.2024.10.008","DOIUrl":"10.1016/j.physrep.2024.10.008","url":null,"abstract":"<div><div>Since the discovery of ultrafast demagnetization in Ni thin films in 1996, laser-induced ultrafast spin dynamics have become a prominent research topic in the field of magnetism and spintronics. This development offers new possibilities for the advancement of spintronics and magnetic storage technology. The subject has drawn a substantial number of researchers, leading to a series of research endeavors. Various models have been proposed to elucidate the physical processes underlying laser-induced ultrafast spin dynamics in ferromagnetic materials. However, the potential origins of these processes across different material systems and the true contributions of these different origins remain challenging in the realm of ultrafast spin dynamics. This predicament also hinders the development of spintronic terahertz emitters.</div><div>In this review, we initially introduce the different experimental methods used in laser-induced ultrafast spin dynamics. We then systematically explore the magnetization precession process and present seven models of ultrafast demagnetization in ferromagnetic materials. Subsequently, we discuss the physical processes and research status of four ultrafast demagnetization origins (including spin-flipping, spin transport, non-thermal electronic distribution, and laser-induced lattice strain). Since attosecond laser technique and antiferromagnetic materials exhibit promising applications in ultrahigh-frequency spintronics, we acknowledge the emerging studies used by attosecond pulses and studies on ultrafast spin dynamics in antiferromagnets, noting the significant challenges that need to be addressed in these burgeoning field.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1102 ","pages":"Pages 1-63"},"PeriodicalIF":23.9,"publicationDate":"2024-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142653221","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2024-11-13DOI: 10.1016/j.physrep.2024.10.007
Sayantan Choudhury , M. Sami
{"title":"Large fluctuations and primordial black holes","authors":"Sayantan Choudhury , M. Sami","doi":"10.1016/j.physrep.2024.10.007","DOIUrl":"10.1016/j.physrep.2024.10.007","url":null,"abstract":"<div><div>In this paper, we review in detail different mechanisms of generation of large primordial fluctuations and their implications for the production of primordial black holes (PBHs) and scalar-induced secondary gravity waves (SIGW), with the ultimate aim of understanding the impact of loop correction on quantum correlations and the power spectrum. To accomplish the goal, we provide a concise, comprehensive, but in depth review of conceptual and technical details of the standard model of the universe, namely, causal structure and inflation, quantization of primordial perturbations and field theoretic techniques such as “in-in” formalism needed for the estimation of loop correction to the power spectrum. We discuss at length the severe constraints (no-go) on PBH production in single-field inflation imposed by appropriately renormalized quantum loop corrections, computed while maintaining the validity of the perturbation framework and assuming sufficient inflation to address the causality problem. Thereafter, we discuss in detail the efforts to circumvent the no-go result in Galileon inflation, multiple sharp transition (MST)-induced inflation, and stochastic single field inflation using an effective field theoretic (EFT) framework applicable to a variety of models. We provide a thorough analysis of the Dynamical Renormalization Group (DRG) resummation approach, adiabatic and late-time renormalization schemes, and their use in producing solar and sub-solar mass PBHs. Additionally, we give a summary of how scalar-induced gravitational waves (SIGWs) are produced in MST setups and Galileon inflation. Finally, the PBH overproduction issue is thoroughly discussed.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1103 ","pages":"Pages 1-276"},"PeriodicalIF":23.9,"publicationDate":"2024-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142664028","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2024-11-07DOI: 10.1016/j.physrep.2024.10.005
Stephan Rachel , Roland Wiesendanger
{"title":"Majorana quasiparticles in atomic spin chains on superconductors","authors":"Stephan Rachel , Roland Wiesendanger","doi":"10.1016/j.physrep.2024.10.005","DOIUrl":"10.1016/j.physrep.2024.10.005","url":null,"abstract":"<div><div>For the past decade, Majorana quasiparticles have become one of the hot topics in condensed matter research. Besides the fundamental interest in the realization of particles being their own antiparticles, going back to basic concepts of elementary particle physics, Majorana quasiparticles in condensed matter systems offer exciting potential applications in topological quantum computation due to their non-Abelian quantum exchange statistics. Motivated by theoretical predictions about possible realizations of Majorana quasiparticles as zero-energy modes at boundaries of topological superconductors, experimental efforts have focussed in particular on quasi-one-dimensional semiconductor–superconductor and magnet–superconductor hybrid systems. However, an unambiguous proof of the existence of Majorana quasiparticles is still challenging and requires considerable improvements in materials science, atomic-scale characterization and control of interface quality, as well as complementary approaches of detecting various facets of Majorana quasiparticles. Bottom-up atom-by-atom fabrication of disorder-free atomic spin chains on atomically clean superconducting substrates has recently allowed deep insight into the emergence of topological sub-gap Shiba bands and associated Majorana states from the level of individual atoms up to extended chains, thereby offering the possibility for critical tests of Majorana physics in disorder-free model-type 1D hybrid systems.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1099 ","pages":"Pages 1-28"},"PeriodicalIF":23.9,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142658262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2024-11-07DOI: 10.1016/j.physrep.2024.10.004
J. Heckötter , A. Farenbruch , D. Fröhlich , M. Aßmann , D.R. Yakovlev , M. Bayer , M.A. Semina , M.M. Glazov , P. Rommel , J. Ertl , J. Main , H. Stolz
{"title":"The energy level spectrum of the yellow excitons in cuprous oxide","authors":"J. Heckötter , A. Farenbruch , D. Fröhlich , M. Aßmann , D.R. Yakovlev , M. Bayer , M.A. Semina , M.M. Glazov , P. Rommel , J. Ertl , J. Main , H. Stolz","doi":"10.1016/j.physrep.2024.10.004","DOIUrl":"10.1016/j.physrep.2024.10.004","url":null,"abstract":"<div><div>This article discusses the experimental status achieved in the assessment of the hydrogen-like series of Wannier–Mott excitons, using the semiconductor cuprous oxide, Cu<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span>O, as material platform. While for other crystals the observed exciton series are limited to low principal quantum numbers <span><math><mi>n</mi></math></span> and typically a particular orbital angular momentum <span><math><mi>L</mi></math></span>, recently a major extension of the number of detected states has been achieved for the so-called yellow exciton series in cuprous oxide. About 60 quantum number combinations <span><math><mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>L</mi><mo>)</mo></mrow></math></span>, defining different shells of possible exciton states, were detected in high-resolution one-photon absorption and second harmonic generation spectroscopy, also complemented with application of external electric or magnetic fields. The extension concerns not only the optically active states (the orthoexcitons) that are allowed in different orders of light–matter coupling, but also the states that are optically forbidden due to spin conservation in optical transitions (the paraexcitons). The hydrogen model provides a good overall description of the exciton level spectrum. However, an analysis with sufficient energy resolution reveals significant deviations evidenced by shell splittings, which arise from breaking of the rotational into discrete symmetries in the cubic crystal environment. The resulting fine structure splitting between different shells and within a shell <span><math><mrow><mo>(</mo><mi>n</mi><mo>,</mo><mi>L</mi><mo>)</mo></mrow></math></span> is mainly determined by the valence band dispersion in Cu<span><math><msub><mrow></mrow><mrow><mn>2</mn></mrow></msub></math></span>O showing pronounced band mixing effects. The corresponding extensions in the exciton Hamiltonian bear similarity to those causing the fine structure splitting in hydrogen, namely a higher order kinetic energy term and a spin–orbit coupling term. In addition, the electron–hole exchange interaction arising for the orthoexcitons and corrections to the dielectric screening provide further contributions to the fine structure splitting. As a consequence, the hydrogen wavefunctions are valid only approximately for describing excitons, being in fact coupled in the exciton envelopes. Despite the broken <span><math><mi>L</mi></math></span>-degeneracy of the exciton levels, further symmetry protected degeneracies remain, which can be removed by applying external fields. We describe the evolution of the fine structure spectrum in electric and magnetic fields towards Stark ladders and Landau fans, respectively. The optical spectra depend on the crystal orientation relative to the external field in addition to their dependence on the chosen optical axis. Also, the deviations from an isotropic medium become obvious, as the symm","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1100 ","pages":"Pages 1-69"},"PeriodicalIF":23.9,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142659335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2024-11-07DOI: 10.1016/j.physrep.2024.10.006
Li Feng , Dengcheng Yang , Sinan Wu , Chengwen Xue , Mengmeng Sang , Xiang Liu , Jincan Che , Jie Wu , Claudia Gragnoli , Christopher Griffin , Chen Wang , Shing-Tung Yau , Rongling Wu
{"title":"Network modeling and topology of aging","authors":"Li Feng , Dengcheng Yang , Sinan Wu , Chengwen Xue , Mengmeng Sang , Xiang Liu , Jincan Che , Jie Wu , Claudia Gragnoli , Christopher Griffin , Chen Wang , Shing-Tung Yau , Rongling Wu","doi":"10.1016/j.physrep.2024.10.006","DOIUrl":"10.1016/j.physrep.2024.10.006","url":null,"abstract":"<div><div>Aging is a universal process of age-dependent physiological and functional declines that are strongly associated with human diseases. Despite extensive studies of the molecular causes of aging, little is known about the overall landscape of how aging proceeds and how it is related with intrinsic and extrinsic agents. Aging is a complex trait involving a large number of interdependent factors that change over spatiotemporal scales like a complex system. We develop an interdisciplinary form of statistical mechanics to reconstruct aging-related informative, dynamic, omnidirectional, and personalized networks (idopNetworks) from experimental or clinical data. The idopNetwork model can reveal how a specific biological entity, such as genes, proteins, or metabolites, mediates the antedependence of aging (i.e., the dependence of current trait values on their previous expression), identify how spatiotemporal crosstalk across different organs accelerate or decelerate the rate of aging, and predict how an individual’s chronological age differs from his biological age. We implement GLMY homology theory to dissect the topological architecture and function of aging networks, identifying key subnetworks, surface holes and cubic voids that shape the rate of aging. Aging studies can be ideally conducted by monitoring molecular, physiological, and clinical traits over the full lifecycle. However, it is both impossible and ethically impermissible to collect the kind of data from which idopNetworks are reconstructed. To overcome this limitation, we integrate an allometric scaling law into the model to extract dynamics from snapshots of static data from a population-based cross-sectional study, expanding the utility of the model to a broader domain of cohort data. We show how this model can be used to unravel and predict the biological mechanisms underlying aging by analyzing an experimental metabolic data set of multiple brain regions in the aging mouse and a cross-sectional physiological data set of the lung for smoking and nonsmoking males aged from 20 years to nearly centenarians from the China Pulmonary Health Study. The model opens up a new horizon for studying how aging occurs through intrinsic and extrinsic interactions and could be used as a generic tool to disentangle human aging using various types of molecular, phenotypic or clinical data.</div></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1101 ","pages":"Pages 1-65"},"PeriodicalIF":23.9,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652789","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2023-09-07DOI: 10.1016/j.physrep.2023.09.001
Martin Plávala
{"title":"General probabilistic theories: An introduction","authors":"Martin Plávala","doi":"10.1016/j.physrep.2023.09.001","DOIUrl":"https://doi.org/10.1016/j.physrep.2023.09.001","url":null,"abstract":"<div><p>We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a class of operational theories that generalize both finite-dimensional classical and quantum theory, but they also include other, more exotic theories, such as the boxworld theory containing Popescu–Rohrlich boxes. We provide in-depth explanations of the basic concepts and elements of the framework of GPTs, and we also prove several well-known results. The review is self-contained and it is meant to provide the reader with consistent introduction to GPTs. Our tools mainly include convex geometry, but we also introduce diagrammatic notation and we often express equations via diagrams.</p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1033 ","pages":"Pages 1-64"},"PeriodicalIF":30.0,"publicationDate":"2023-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"6727323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2023-08-24DOI: 10.1016/j.physrep.2023.09.002
Chunli Tang , Laith Alahmed , Muntasir Mahdi , Yuzan Xiong , Jerad Inman , Nathan J. McLaughlin , Christoph Zollitsch , Tae Hee Kim , Chunhui Rita Du , Hidekazu Kurebayashi , Elton J.G. Santos , Wei Zhang , Peng Li , Wencan Jin
{"title":"Spin dynamics in van der Waals magnetic systems","authors":"Chunli Tang , Laith Alahmed , Muntasir Mahdi , Yuzan Xiong , Jerad Inman , Nathan J. McLaughlin , Christoph Zollitsch , Tae Hee Kim , Chunhui Rita Du , Hidekazu Kurebayashi , Elton J.G. Santos , Wei Zhang , Peng Li , Wencan Jin","doi":"10.1016/j.physrep.2023.09.002","DOIUrl":"https://doi.org/10.1016/j.physrep.2023.09.002","url":null,"abstract":"<div><p>The discovery of atomic monolayer magnetic materials has stimulated intense research activities in the two-dimensional (2D) van der Waals (vdW) materials community. The field is growing rapidly and there has been a large class of 2D vdW magnetic compounds with unique properties, which provides an ideal platform to study magnetism in the atomically thin limit. In parallel, based on tunneling magnetoresistance<span><span><span> and magneto-optical effect in 2D vdW magnets and their heterostructures, emerging concepts of spintronic and </span>optoelectronic applications<span> such as spin tunnel field-effect transistors and spin-filtering devices are explored. While the magnetic ground state has been extensively investigated, reliable characterization and control of spin dynamics play a crucial role in designing ultrafast spintronic devices. Ferromagnetic resonance (FMR) allows direct measurements of magnetic excitations, which provides insight into the key parameters of </span></span>magnetic properties<span> such as exchange interaction, magnetic anisotropy, gyromagnetic ratio, spin–orbit coupling, damping rate, and domain structure. In this review article, we present an overview of the essential progress in probing spin dynamics of 2D vdW magnets using FMR techniques. Given the dynamic nature of this field, we focus mainly on broadband FMR, optical FMR, and spin-torque FMR, and their applications in studying prototypical 2D vdW magnets. We conclude with the recent advances in laboratory- and synchrotron-based FMR techniques and their opportunities to broaden the horizon of research pathways into atomically thin magnets.</span></span></p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1032 ","pages":"Pages 1-36"},"PeriodicalIF":30.0,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"6551274","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2023-08-10DOI: 10.1016/j.physrep.2023.08.001
Rico Berner , Thilo Gross , Christian Kuehn , Jürgen Kurths , Serhiy Yanchuk
{"title":"Adaptive dynamical networks","authors":"Rico Berner , Thilo Gross , Christian Kuehn , Jürgen Kurths , Serhiy Yanchuk","doi":"10.1016/j.physrep.2023.08.001","DOIUrl":"https://doi.org/10.1016/j.physrep.2023.08.001","url":null,"abstract":"<div><p>It is a fundamental challenge to understand how the function of a network is related to its structural organization. Adaptive dynamical networks represent a broad class of systems that can change their connectivity over time depending on their dynamical state. The most important feature of such systems is that their function depends on their structure and vice versa. While the properties of static<span> networks have been extensively investigated in the past, the study of adaptive networks is much more challenging. Moreover, adaptive dynamical networks are of tremendous importance for various application fields, in particular, for the models for neuronal synaptic plasticity, adaptive networks in chemical, epidemic, biological, transport, and social systems, to name a few. In this review, we provide a detailed description of adaptive dynamical networks, show their applications in various areas of research, highlight their dynamical features and describe the arising dynamical phenomena, and give an overview of the available mathematical methods developed for understanding adaptive dynamical networks.</span></p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1031 ","pages":"Pages 1-59"},"PeriodicalIF":30.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"2208975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Physics ReportsPub Date : 2023-08-03DOI: 10.1016/j.physrep.2023.07.003
S.A. Hosseini, I.V. Karlin
{"title":"Lattice Boltzmann for non-ideal fluids: Fundamentals and Practice","authors":"S.A. Hosseini, I.V. Karlin","doi":"10.1016/j.physrep.2023.07.003","DOIUrl":"https://doi.org/10.1016/j.physrep.2023.07.003","url":null,"abstract":"<div><p>This contribution presents a comprehensive overview of lattice Boltzmann models for non-ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and more practical discussion of numerical nature. In that context, elements of kinetic theory of ideal gases are presented and discussed at length. Then a detailed discussion of the lattice Boltzmann method for ideal gases from discretization to Galilean invariance issues and different collision models along with their effect on stability and consistency at the hydrodynamic level is presented. Extension to non-ideal fluids is then introduced in the context of the kinetic theory of gases along with the corresponding thermodynamics at the macroscopic level, i.e. the van der Waals fluid, followed by an overview of different lattice Boltzmann based models for non-ideal fluids. After an in-depth discussion of different well-known issues and artifacts and corresponding solutions, the article finishes with a brief discussion on most recent applications of such models and extensions proposed in the literature towards non-isothermal and multi-component flows.</p></div>","PeriodicalId":404,"journal":{"name":"Physics Reports","volume":"1030 ","pages":"Pages 1-137"},"PeriodicalIF":30.0,"publicationDate":"2023-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"2956039","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}