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Progress of open systems at Budker Institute of Nuclear Physics 布德克核物理研究所开放系统的进展情况
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-05-03 DOI: 10.1017/s0022377824000473
P.A. Bagryansky
{"title":"Progress of open systems at Budker Institute of Nuclear Physics","authors":"P.A. Bagryansky","doi":"10.1017/s0022377824000473","DOIUrl":"https://doi.org/10.1017/s0022377824000473","url":null,"abstract":"This paper is based on a report at the 2nd International Fusion Plasma Conference & 13th International Conference on Open Magnetic Systems for Plasma Confinement (iFPC & OS 2023), August 21–25, 2023, Busan, Korea and provides a brief overview of the status of work at the Budker Institute on the study of hot plasma confinement in open-type magnetic traps with a linear axisymmetric configuration. The main attention is paid to key problems: magnetohydrodynamics (MHD) stability in regimes with extremely high relative pressure, longitudinal electronic thermal conductivity, stability with respect to the development of kinetic modes and transverse transport. This paper provides an overview of the methods we are developing to address these problems, the experimental and theoretical results achieved and plans for future development. The last section of the article provides brief information about the preliminary design of the gas-dynamic multiple-mirror trap device, the development of which has been completed.","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"28 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140828767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Recent results on high-β plasma confinement studies in the Gas Dynamic Trap 气体动力陷阱中高β等离子体约束研究的最新成果
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-05-02 DOI: 10.1017/s0022377824000515
Evgeniy A. Shmigelsky, Andrej A. Lizunov, Andrey K. Meyster, Egor I. Pinzhenin, Alexander L. Solomakhin, Dmitry V. Yakovlev
{"title":"Recent results on high-β plasma confinement studies in the Gas Dynamic Trap","authors":"Evgeniy A. Shmigelsky, Andrej A. Lizunov, Andrey K. Meyster, Egor I. Pinzhenin, Alexander L. Solomakhin, Dmitry V. Yakovlev","doi":"10.1017/s0022377824000515","DOIUrl":"https://doi.org/10.1017/s0022377824000515","url":null,"abstract":"This paper is devoted to experimental studies of plasma confinement with high relative pressure (<jats:inline-formula> <jats:alternatives> <jats:tex-math>$beta$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline2.png\"/> </jats:alternatives> </jats:inline-formula>) in the Gas Dynamic Trap (BINP, Novosibirsk). In previous high-<jats:inline-formula> <jats:alternatives> <jats:tex-math>$beta$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline3.png\"/> </jats:alternatives> </jats:inline-formula> confinement studies a maximum local <jats:inline-formula> <jats:alternatives> <jats:tex-math>$beta = 0.6$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline4.png\"/> </jats:alternatives> </jats:inline-formula> was achieved in the fast-ion turning point, contributed to by a beam-driven population of fast ions with an anisotropic distribution function. In this study the axial magnetic field profile was modified to bring the turning points closer to one another, which effectively increased the energy density of plasma and pushed the <jats:inline-formula> <jats:alternatives> <jats:tex-math>$beta$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline5.png\"/> </jats:alternatives> </jats:inline-formula> value higher. Experiments were performed for two non-standard magnetic configurations, where the axial fast-ion confinement region length was reduced by 1.5 and 2 times compared with the standard configuration. The average values of <jats:inline-formula> <jats:alternatives> <jats:tex-math>$langle beta _{perp } rangle$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline6.png\"/> </jats:alternatives> </jats:inline-formula> over the plasma central cross-section were found to be 0.1 and 0.18, respectively, for the two configurations, with the latter value significantly exceeding the <jats:inline-formula> <jats:alternatives> <jats:tex-math>$langle beta _{perp } rangle =0.08$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000515_inline7.png\"/> </jats:alternatives> </jats:inline-formula> of the standard configuration, in which the previous record was set. Moreover, halving the fast ion confinement region almost doubled the D–D fusion proton flux from the trap centre compared with the standard configuration. The electron temperature in both new magnetic configurations was only slightly smaller than in the standard configuration. In addition, an effect of Alfvén ion–cyclotron instability (AICI) development on the pressure in the turning points is discussed. Presumably, with some decrease in mag","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"35 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140828769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Hybrid electrostatic waves in linearized gravity 线性化重力中的混合静电波
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-29 DOI: 10.1017/s0022377824000539
Chinmoy Bhattacharjee, David J. Stark
{"title":"Hybrid electrostatic waves in linearized gravity","authors":"Chinmoy Bhattacharjee, David J. Stark","doi":"10.1017/s0022377824000539","DOIUrl":"https://doi.org/10.1017/s0022377824000539","url":null,"abstract":"<p>Linearized gravity around a rotating black hole or compact object introduces the concept of a gravitomagnetic field, which originates from the matter–current in the rotating object. Plasma in proximity to this object is subsequently subjected to motion guided by this gravitomagnetic term (where mass serves as the effective charge) in addition to the conventional magnetic field. Such an interplay of fields complicates the accessible plasma waves of the system and thus merits exploration to delineate this interplay, to identify any observable signatures of the gravitomagnetic field in weakly magnetized systems, and to motivate future numerical work in a fully relativistic setting where the effects may be stronger. In this work we analyse the dispersion of the upper and lower hybrid electrostatic waves in a plasma immersed in both magnetic and gravitomagnetic fields. In particular, we discuss the effective augmentation or cancellation of the two fields under the right conditions for the upper hybrid wave. In contrast, the lower hybrid wave experiences a frequency up-shift from the gravitomagnetic field regardless of whether it is parallel or antiparallel to the magnetic field for the studied field strengths.</p>","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"77 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140810164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
MCTrans++: a 0-D model for centrifugal mirrors MCTrans++:离心镜的 0-D 模型
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-23 DOI: 10.1017/s0022377824000424
Nick R. Schwartz, Ian G. Abel, Adil B. Hassam, Myles Kelly, Carlos A. Romero-Talamás
{"title":"MCTrans++: a 0-D model for centrifugal mirrors","authors":"Nick R. Schwartz, Ian G. Abel, Adil B. Hassam, Myles Kelly, Carlos A. Romero-Talamás","doi":"10.1017/s0022377824000424","DOIUrl":"https://doi.org/10.1017/s0022377824000424","url":null,"abstract":"The centrifugal mirror confinement scheme incorporates supersonic rotation of a plasma into a magnetic mirror device. This concept has been shown experimentally to drastically decrease parallel losses and increase plasma stability as compared with prior axisymmetric mirrors. MCTrans++ is a dimensionless (0-D) scoping tool which rapidly models experimental operating points in the Centrifugal Mirror Fusion Experiment (CMFX) at the University of Maryland. In the low-collisionality regime, parallel losses can be modelled analytically. A confining potential is set up that is partially ambipolar and partially centrifugal. Due to the stabilizing effects of flow shear, the perpendicular losses can be modelled as classical. Radiation losses such as bremsstrahlung and cyclotron emission are taken into account. A neutrals model is included, and, in some circumstances, charge-exchange losses are found to exceed all other loss mechanisms. We use the SUNDIALS ARKODE library to solve the underlying equations of this model; the resulting software is suitable for scanning large parameter spaces, and can also be used to model time-dependent phenomena such as a capacitive discharge. MCTrans++ has been used to verify results from prior centrifugal mirrors, create an experimental plan for CMFX and find configurations for future reactor-scale fusion devices.","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"166 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140806153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Global fluid turbulence simulations in the scrape-off layer of a stellarator island divertor 恒星器岛分流器刮流层中的全局流体湍流模拟
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-22 DOI: 10.1017/s002237782400045x
B. Shanahan, D. Bold, B. Dudson
{"title":"Global fluid turbulence simulations in the scrape-off layer of a stellarator island divertor","authors":"B. Shanahan, D. Bold, B. Dudson","doi":"10.1017/s002237782400045x","DOIUrl":"https://doi.org/10.1017/s002237782400045x","url":null,"abstract":"Isothermal fluid turbulence simulations have been performed in the edge and scrape-off layer (SOL) of an analytic stellarator configuration with an island divertor, thereby providing numerical insight into edge turbulence in regions around islands in a stellarator. The steady-state transport follows the a curvature drive that is inverse to the major radius (<jats:inline-formula> <jats:alternatives> <jats:tex-math>$1/R$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002237782400045X_inline1.png\" /> </jats:alternatives> </jats:inline-formula>) toward the outboard side, but large fluctuations are present throughout the island divertor region, with the average wavelength of similar size to the island width. The system exhibits a prominent <jats:inline-formula> <jats:alternatives> <jats:tex-math>$m=2$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002237782400045X_inline2.png\" /> </jats:alternatives> </jats:inline-formula>, <jats:inline-formula> <jats:alternatives> <jats:tex-math>$n=5$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S002237782400045X_inline3.png\" /> </jats:alternatives> </jats:inline-formula> mode, where <jats:italic>m</jats:italic> is the poloidal mode number and <jats:italic>n</jats:italic> is the toroidal mode number, although other modes are present. The amplitude and radial extent of the density fluctuations are similar throughout the edge and SOL, but can decrease near island O-points. The fluctuations exhibit a predominantly positive skewness on the outboard midplane, indicating blob-like perturbations for the transport into the outer SOL. It is determined that a point on the separatrix is generally more correlated with regions outside of the SOL than a nearby reference point which does not lie on the separatrix.","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"16 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140634373","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Simulations of radiatively cooled magnetic reconnection driven by pulsed power 脉冲功率驱动的辐射冷却磁重联模拟
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-19 DOI: 10.1017/s0022377824000448
Rishabh Datta, Aidan Crilly, Jeremy P. Chittenden, Simran Chowdhry, Katherine Chandler, Nikita Chaturvedi, Clayton E. Myers, William R. Fox, Stephanie B. Hansen, Chris A. Jennings, Hantao Ji, Carolyn C. Kuranz, Sergey V. Lebedev, Dmitri A. Uzdensky, Jack D. Hare
{"title":"Simulations of radiatively cooled magnetic reconnection driven by pulsed power","authors":"Rishabh Datta, Aidan Crilly, Jeremy P. Chittenden, Simran Chowdhry, Katherine Chandler, Nikita Chaturvedi, Clayton E. Myers, William R. Fox, Stephanie B. Hansen, Chris A. Jennings, Hantao Ji, Carolyn C. Kuranz, Sergey V. Lebedev, Dmitri A. Uzdensky, Jack D. Hare","doi":"10.1017/s0022377824000448","DOIUrl":"https://doi.org/10.1017/s0022377824000448","url":null,"abstract":"Magnetic reconnection is an important process in astrophysical environments, as it reconfigures magnetic field topology and converts magnetic energy into thermal and kinetic energy. In extreme astrophysical systems, such as black hole coronae and pulsar magnetospheres, radiative cooling modifies the energy partition by radiating away internal energy, which can lead to the radiative collapse of the reconnection layer. In this paper, we perform two- and three-dimensional simulations to model the MARZ (Magnetic Reconnection on Z) experiments, which are designed to access cooling rates in the laboratory necessary to investigate reconnection in a previously unexplored radiatively cooled regime. These simulations are performed in GORGON, an Eulerian two-temperature resistive magnetohydrodynamic code, which models the experimental geometry comprising two exploding wire arrays driven by 20 MA of current on the Z machine (Sandia National Laboratories). Radiative losses are implemented using non-local thermodynamic equilibrium tables computed using the atomic code Spk, and we probe the effects of radiation transport by implementing both a local radiation loss model and <jats:inline-formula> <jats:alternatives> <jats:tex-math>$P_{1/3}$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000448_inline1.png\" /> </jats:alternatives> </jats:inline-formula> multi-group radiation transport. The load produces highly collisional, super-Alfvénic (Alfvén Mach number <jats:inline-formula> <jats:alternatives> <jats:tex-math>$M_A approx 1.5$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000448_inline2.png\" /> </jats:alternatives> </jats:inline-formula>), supersonic (Sonic Mach number <jats:inline-formula> <jats:alternatives> <jats:tex-math>$M_S approx 4-5$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000448_inline3.png\" /> </jats:alternatives> </jats:inline-formula>) strongly driven plasma flows which generate an elongated reconnection layer (Aspect Ratio <jats:inline-formula> <jats:alternatives> <jats:tex-math>$L/delta approx 100$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000448_inline4.png\" /> </jats:alternatives> </jats:inline-formula>, Lundquist number <jats:inline-formula> <jats:alternatives> <jats:tex-math>$S_L approx 400$</jats:tex-math> <jats:inline-graphic xmlns:xlink=\"http://www.w3.org/1999/xlink\" mime-subtype=\"png\" xlink:href=\"S0022377824000448_inline1d.png\" /> </jats:alternatives> </jats:inline-formula>). The reconnection layer undergoes radiative collapse when the radiative losses exceed the rates of ohmic and compressional heating (cooling rate/hydrodynamic transit rate = <jats:inline-formula> <jats:alternatives> <jats:tex-math>$tau _{text {cool}}^{-1}/tau _{","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"62 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140624724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Density jump for oblique collisionless shocks in pair plasmas: physical solutions 对等离子体中斜向无碰撞冲击的密度跃迁:物理解决方案
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-16 DOI: 10.1017/s0022377824000370
Antoine Bret, Colby C. Haggerty, Ramesh Narayan
{"title":"Density jump for oblique collisionless shocks in pair plasmas: physical solutions","authors":"Antoine Bret, Colby C. Haggerty, Ramesh Narayan","doi":"10.1017/s0022377824000370","DOIUrl":"https://doi.org/10.1017/s0022377824000370","url":null,"abstract":"<p>Collisionless shocks are frequently analysed using the magnetohydrodynamics (MHD) formalism, even though MHD assumes a small mean free path. Yet, isotropy of pressure, the fruit of binary collisions and assumed in MHD, may not apply in collisionless shocks. This is especially true within a magnetized plasma, where the field can stabilize an anisotropy. In a previous article (Bret &amp; Narayan, <span>J. Plasma Phys.</span>, vol. 88, no. 6, 2022<span>b</span>, p. 905880615), a model was presented capable of dealing with the anisotropies that may arise at the front crossing. It was solved for any orientation of the field with respect to the shock front. Yet, for some values of the upstream parameters, several downstream solutions were found. Here, we complete the work started in Bret &amp; Narayan (<span>J. Plasma Phys.</span>, vol. 88, no. 6, 2022<span>b</span>, p. 905880615) by showing how to pick the physical solution out of the ones offered by the algebra. This is achieved by 2 means: (i) selecting the solution that has the downstream field obliquity closest to the upstream one. This criterion is exemplified on the parallel case and backed up by particle-in-cell simulations. (ii) Filtering out solutions which do not satisfy a criteria already invoked to trim multiple solutions in MHD: the evolutionarity criterion, that we assume valid in the collisionless case. The end result is a model in which a given upstream configuration results in a unique, or no downstream configuration (as in MHD). The largest departure from MHD is found for the case of a parallel shock.</p>","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"61 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140582845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
The maximum-J property in quasi-isodynamic stellarators 准等动力恒星器中的最大 J 特性
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-16 DOI: 10.1017/s0022377824000345
E. Rodríguez, P. Helander, A.G. Goodman
{"title":"The maximum-J property in quasi-isodynamic stellarators","authors":"E. Rodríguez, P. Helander, A.G. Goodman","doi":"10.1017/s0022377824000345","DOIUrl":"https://doi.org/10.1017/s0022377824000345","url":null,"abstract":"<p>Some stellarators tend to benefit from favourable average magnetic curvature for trapped particles when the plasma pressure is sufficiently high. This so-called maximum-<span><span><span data-mathjax-type=\"texmath\"><span>$J$</span></span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240415173403192-0796:S0022377824000345:S0022377824000345_inline2.png\"/></span></span> property has several positive implications, such as good fast-particle confinement, magnetohydrodynamic stability and suppression of certain trapped-particle instabilities. This property cannot be attained in quasisymmetric stellarators, in which deeply trapped particles experience average bad curvature and therefore precess in the diamagnetic direction close to the magnetic axis. However, quasi-isodynamic stellarators offer greater flexibility and allow the average curvature to be favourable and the precession to be reversed. We find that it is possible to design such stellarators so that the maximum-<span><span><span data-mathjax-type=\"texmath\"><span>$J$</span></span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240415173403192-0796:S0022377824000345:S0022377824000345_inline3.png\"/></span></span> condition is satisfied for the great majority of all particles, even when the plasma pressure vanishes. The qualitative properties of such a stellarator field can be derived analytically by examining the most deeply and the most shallowly trapped particles, although some small fraction of the latter will inevitably not behave as desired. However, through numerical optimisation, we construct a vacuum field in which 99.6 % of all trapped particles satisfy the maximum-<span><span><span data-mathjax-type=\"texmath\"><span>$J$</span></span><img data-mimesubtype=\"png\" data-type=\"\" src=\"https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20240415173403192-0796:S0022377824000345:S0022377824000345_inline4.png\"/></span></span> condition.</p>","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"117 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140582765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
The Okubo–Weiss-type topological criteria in two-dimensional magnetohydrodynamic flows 二维磁流体流中的奥布-魏斯型拓扑标准
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-16 DOI: 10.1017/s0022377824000436
B.K. Shivamoggi, G.J.F. van Heijst, L.P.J. Kamp
{"title":"The Okubo–Weiss-type topological criteria in two-dimensional magnetohydrodynamic flows","authors":"B.K. Shivamoggi, G.J.F. van Heijst, L.P.J. Kamp","doi":"10.1017/s0022377824000436","DOIUrl":"https://doi.org/10.1017/s0022377824000436","url":null,"abstract":"<p>The Okubo–Weiss (Okubo, <span>Deep-Sea Res.</span>, vol. 17, issue 3, 1970, pp. 445–454; Weiss, <span>Physica D</span>, vol. 48, issue 2, 1991, pp. 273–294) criterion has been widely used as a diagnostic tool to divide a two-dimensional (2-D) hydrodynamical flow field into hyperbolic and elliptic regions. This paper considers extension of these ideas to 2-D magnetohydrodynamic (MHD) flows, and presents an Okubo–Weiss-type criterion to parameterize the magnetic field topology in 2-D MHD flows. This ensues via its topological connections with the intrinsic metric properties of the underlying magnetic flux manifold, and is illustrated by recasting the Okubo–Weiss-type criterion via the 2-D MHD stationary generalized Alfvénic state condition to approximate the slow-flow-variation ansatz imposed in its derivation. The Okubo–Weiss-type parameter then turns out to be related to the sign definiteness of the Gaussian curvature of the magnetic flux manifold. A similar formulation becomes possible for 2-D electron MHD flows, by using the generalized magnetic flux framework to incorporate the electron-inertia effects. Numerical simulations of quasi-stationary vortices in 2-D MHD flows in the decaying turbulence regime are then given to demonstrate that the Okubo–Weiss-type criterion is able to separate the MHD flow field into elliptic and hyperbolic field configurations very well.</p>","PeriodicalId":16846,"journal":{"name":"Journal of Plasma Physics","volume":"47 1","pages":""},"PeriodicalIF":2.5,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140602257","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Effects observed in numerical simulation of high-beta plasma with hot ions in an axisymmetric mirror machine 轴对称镜像机中热离子高贝塔等离子体数值模拟中观察到的效应
IF 2.5 3区 物理与天体物理
Journal of Plasma Physics Pub Date : 2024-04-12 DOI: 10.1017/s0022377824000333
I.S. Chernoshtanov, I.G. Chernykh, G.I. Dudnikova, M.A. Boronina, T.V. Liseykina, V.A. Vshivkov
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