Pub Date : 2025-03-05DOI: 10.1038/s41567-025-02789-w
Meagan Sundstrom, N. G. Holmes
Gaining recognition as a physics person by peers is an important contributor to undergraduate students’ physics identity and their success in physics courses. Previous research has separately demonstrated that women perceive less recognition from peers than men in their physics courses (perceived peer recognition) and that women receive fewer nominations from their peers for being strong in their physics course than men (received peer recognition). The relation between perceived and received peer recognition for men and women, however, is not well understood. Here we test three plausible models for this relation and find that, for students receiving the same amount of recognition from peers as measured from private nominations on a survey, women report significantly lower perceived peer recognition than men. We did this by conducting a quantitative study of over 1,700 students enrolled in introductory physics courses at eight institutions in the United States. We directly compare student gender, perceived peer recognition and received peer recognition, controlling for race and ethnicity, academic year and major, and course-level variability. These findings offer important implications for testable instructional interventions.
{"title":"Bias in physics peer recognition does not explain gaps in perceived peer recognition","authors":"Meagan Sundstrom, N. G. Holmes","doi":"10.1038/s41567-025-02789-w","DOIUrl":"https://doi.org/10.1038/s41567-025-02789-w","url":null,"abstract":"<p>Gaining recognition as a physics person by peers is an important contributor to undergraduate students’ physics identity and their success in physics courses. Previous research has separately demonstrated that women perceive less recognition from peers than men in their physics courses (perceived peer recognition) and that women receive fewer nominations from their peers for being strong in their physics course than men (received peer recognition). The relation between perceived and received peer recognition for men and women, however, is not well understood. Here we test three plausible models for this relation and find that, for students receiving the same amount of recognition from peers as measured from private nominations on a survey, women report significantly lower perceived peer recognition than men. We did this by conducting a quantitative study of over 1,700 students enrolled in introductory physics courses at eight institutions in the United States. We directly compare student gender, perceived peer recognition and received peer recognition, controlling for race and ethnicity, academic year and major, and course-level variability. These findings offer important implications for testable instructional interventions.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"52 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143545946","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}
Pub Date : 2025-03-05DOI: 10.1038/s41567-025-02788-x
Daniele Coslovich
Understanding the behaviour of viscous liquids close to the glass transition is a century-old problem. The microscopic underpinnings of their mechanical response have now been made clearer by a unified percolation description, in both two and three dimensions.
{"title":"Glass is a matter of time","authors":"Daniele Coslovich","doi":"10.1038/s41567-025-02788-x","DOIUrl":"10.1038/s41567-025-02788-x","url":null,"abstract":"Understanding the behaviour of viscous liquids close to the glass transition is a century-old problem. The microscopic underpinnings of their mechanical response have now been made clearer by a unified percolation description, in both two and three dimensions.","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"21 3","pages":"346-347"},"PeriodicalIF":17.6,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143545950","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}
Reproducible pattern and form generation during embryogenesis is poorly understood. Intestinal organoid morphogenesis involves a number of mechanochemical regulators such as cell-type-specific cytoskeletal forces and osmotically driven lumen volume changes. It is unclear how these forces are coordinated in time and space to ensure robust morphogenesis. Here we show how mechanosensitive feedback on cytoskeletal tension gives rise to morphological bistability in a minimal model of organoid morphogenesis. In the model, lumen volume changes can impact the epithelial shape via both direct mechanical and indirect mechanosensitive mechanisms. We find that both bulged and budded crypt states are possible and dependent on the history of volume changes. We test key modelling assumptions via biophysical and pharmacological experiments to demonstrate how bistability can explain experimental observations, such as the importance of the timing of lumen shrinkage and robustness of the final morphogenetic state to mechanical perturbations. This suggests that bistability arising from feedback between cellular tensions and fluid pressure could be a general mechanism that coordinates multicellular shape changes in developing systems.
{"title":"Mechanochemical bistability of intestinal organoids enables robust morphogenesis","authors":"Shi-Lei Xue, Qiutan Yang, Prisca Liberali, Edouard Hannezo","doi":"10.1038/s41567-025-02792-1","DOIUrl":"https://doi.org/10.1038/s41567-025-02792-1","url":null,"abstract":"<p>Reproducible pattern and form generation during embryogenesis is poorly understood. Intestinal organoid morphogenesis involves a number of mechanochemical regulators such as cell-type-specific cytoskeletal forces and osmotically driven lumen volume changes. It is unclear how these forces are coordinated in time and space to ensure robust morphogenesis. Here we show how mechanosensitive feedback on cytoskeletal tension gives rise to morphological bistability in a minimal model of organoid morphogenesis. In the model, lumen volume changes can impact the epithelial shape via both direct mechanical and indirect mechanosensitive mechanisms. We find that both bulged and budded crypt states are possible and dependent on the history of volume changes. We test key modelling assumptions via biophysical and pharmacological experiments to demonstrate how bistability can explain experimental observations, such as the importance of the timing of lumen shrinkage and robustness of the final morphogenetic state to mechanical perturbations. This suggests that bistability arising from feedback between cellular tensions and fluid pressure could be a general mechanism that coordinates multicellular shape changes in developing systems.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"185 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143517978","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}
Pub Date : 2025-02-28DOI: 10.1038/s41567-024-02770-z
Md Shafayat Hossain, Qi Zhang, Eun Sang Choi, Danilo Ratkovski, Bernhard Lüscher, Yongkai Li, Yu-Xiao Jiang, Maksim Litskevich, Zi-Jia Cheng, Jia-Xin Yin, Tyler A. Cochran, Brian Casas, Byunghoon Kim, Xian Yang, Jinjin Liu, Yugui Yao, Alimamy F. Bangura, Zhiwei Wang, Mark H. Fischer, Titus Neupert, Luis Balicas, M. Zahid Hasan
Determining the types of superconducting order in quantum materials is a challenge. This is especially true when several degrees of freedom contribute to the fermiology and when superconductivity competes with other symmetry-breaking orders. One example is the kagome-lattice superconductor CsV3Sb5, in which multiband superconductivity coexists with a charge order that substantially reduces the space group symmetries of the compound. Here we demonstrate the presence of two superconducting regimes in CsV3Sb5 that are characterized by distinct transport and thermodynamic properties. Our results reveal a substantial quasiparticle weight in a high-temperature regime. At lower temperatures, this weight is removed through the formation of a second gap. We argue that the band with a gap opening at lower temperatures continues to host low-energy quasiparticles, possibly due to the nodal structure of the gap. Taken together, our results present evidence for band-selective superconductivity with uncoupled superconducting gaps.
{"title":"Unconventional gapping behaviour in a kagome superconductor","authors":"Md Shafayat Hossain, Qi Zhang, Eun Sang Choi, Danilo Ratkovski, Bernhard Lüscher, Yongkai Li, Yu-Xiao Jiang, Maksim Litskevich, Zi-Jia Cheng, Jia-Xin Yin, Tyler A. Cochran, Brian Casas, Byunghoon Kim, Xian Yang, Jinjin Liu, Yugui Yao, Alimamy F. Bangura, Zhiwei Wang, Mark H. Fischer, Titus Neupert, Luis Balicas, M. Zahid Hasan","doi":"10.1038/s41567-024-02770-z","DOIUrl":"https://doi.org/10.1038/s41567-024-02770-z","url":null,"abstract":"<p>Determining the types of superconducting order in quantum materials is a challenge. This is especially true when several degrees of freedom contribute to the fermiology and when superconductivity competes with other symmetry-breaking orders. One example is the kagome-lattice superconductor CsV<sub>3</sub>Sb<sub>5</sub>, in which multiband superconductivity coexists with a charge order that substantially reduces the space group symmetries of the compound. Here we demonstrate the presence of two superconducting regimes in CsV<sub>3</sub>Sb<sub>5</sub> that are characterized by distinct transport and thermodynamic properties. Our results reveal a substantial quasiparticle weight in a high-temperature regime. At lower temperatures, this weight is removed through the formation of a second gap. We argue that the band with a gap opening at lower temperatures continues to host low-energy quasiparticles, possibly due to the nodal structure of the gap. Taken together, our results present evidence for band-selective superconductivity with uncoupled superconducting gaps.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"11 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143517979","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}
Pub Date : 2025-02-25DOI: 10.1038/s41567-025-02796-x
Woonyung Hur, Arghyadip Mukherjee, Luke Hayden, Ziqi Lu, Anna Chao, Noah P. Mitchell, Sebastian J. Streichan, Massimo Vergassola, Stefano Di Talia
During embryogenesis, the first cell fate decision—whether the cell participates in development of the embryo or not—is often linked to the positioning of the nucleus. The cell cycle oscillator and associated cytoskeletal dynamics contribute to the control of nuclear positioning. However, the mechanisms that ensure that the correct number of nuclei move to their appropriate place remain poorly understood. Here we show that the orientation of the mitotic spindle controls the first fate decision, embryonic or yolk cell fate, in Drosophila embryos using light sheet microscopy experiments. Combining computational methods inspired by integral geometry, manipulation of cell cycle genes, and investigation of the relationship between geometry and topology, we show that spindle orientation is controlled by topological interactions with neighbouring nuclei and not by internuclear distance. Leveraging the physics of space-filling systems, we develop a theory for topological dependency in microtubule structures. Our work shows how the topological interplay of microtubule mechanics can ensure robust control of nuclear density and determine cell fate.
{"title":"Topological interactions drive the first fate decision in the Drosophila embryo","authors":"Woonyung Hur, Arghyadip Mukherjee, Luke Hayden, Ziqi Lu, Anna Chao, Noah P. Mitchell, Sebastian J. Streichan, Massimo Vergassola, Stefano Di Talia","doi":"10.1038/s41567-025-02796-x","DOIUrl":"https://doi.org/10.1038/s41567-025-02796-x","url":null,"abstract":"<p>During embryogenesis, the first cell fate decision—whether the cell participates in development of the embryo or not—is often linked to the positioning of the nucleus. The cell cycle oscillator and associated cytoskeletal dynamics contribute to the control of nuclear positioning. However, the mechanisms that ensure that the correct number of nuclei move to their appropriate place remain poorly understood. Here we show that the orientation of the mitotic spindle controls the first fate decision, embryonic or yolk cell fate, in <i>Drosophila</i> embryos using light sheet microscopy experiments. Combining computational methods inspired by integral geometry, manipulation of cell cycle genes, and investigation of the relationship between geometry and topology, we show that spindle orientation is controlled by topological interactions with neighbouring nuclei and not by internuclear distance. Leveraging the physics of space-filling systems, we develop a theory for topological dependency in microtubule structures. Our work shows how the topological interplay of microtubule mechanics can ensure robust control of nuclear density and determine cell fate.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"177 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143485618","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}
Pub Date : 2025-02-24DOI: 10.1038/s41567-025-02784-1
Marco Nurisso, Marta Morandini, Maxime Lucas, Francesco Vaccarino, Tommaso Gili, Giovanni Petri
The renormalization group is a pillar of the theory of scaling, scale invariance and universality in physics. Recently, this tool has been adapted to complex networks with pairwise interactions through a scheme based on diffusion dynamics. However, as the importance of polyadic interactions in complex systems becomes more evident, there is a pressing need to extend the renormalization group methods to higher-order networks. Here we fill this gap and propose a Laplacian renormalization group scheme for arbitrary higher-order networks. At the heart of our approach is the introduction of cross-order Laplacians, which generalize existing higher-order Laplacians by allowing the description of diffusion processes that can happen on hyperedges of any order via hyperedges of any other order. This approach enables us to probe higher-order structures, define scale invariance at various orders and propose a coarse-graining scheme. We validate our approach on controlled synthetic higher-order systems and then use it to detect the presence of order-specific scale-invariant profiles of real-world complex systems from multiple domains.
{"title":"Higher-order Laplacian renormalization","authors":"Marco Nurisso, Marta Morandini, Maxime Lucas, Francesco Vaccarino, Tommaso Gili, Giovanni Petri","doi":"10.1038/s41567-025-02784-1","DOIUrl":"https://doi.org/10.1038/s41567-025-02784-1","url":null,"abstract":"<p>The renormalization group is a pillar of the theory of scaling, scale invariance and universality in physics. Recently, this tool has been adapted to complex networks with pairwise interactions through a scheme based on diffusion dynamics. However, as the importance of polyadic interactions in complex systems becomes more evident, there is a pressing need to extend the renormalization group methods to higher-order networks. Here we fill this gap and propose a Laplacian renormalization group scheme for arbitrary higher-order networks. At the heart of our approach is the introduction of cross-order Laplacians, which generalize existing higher-order Laplacians by allowing the description of diffusion processes that can happen on hyperedges of any order via hyperedges of any other order. This approach enables us to probe higher-order structures, define scale invariance at various orders and propose a coarse-graining scheme. We validate our approach on controlled synthetic higher-order systems and then use it to detect the presence of order-specific scale-invariant profiles of real-world complex systems from multiple domains.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"67 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143477409","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}
Pub Date : 2025-02-24DOI: 10.1038/s41567-025-02783-2
Martin Striegler, Stefan Diez, Benjamin M. Friedrich, Veikko F. Geyer
Motile cilia and flagella produce regular bending waves that enable single-cell navigation due to non-planar waveforms with characteristic torsion. However, it is not known how torsion, a geometric property of the three-dimensional waveform, relates to mechanical twist deformations of the axoneme, the conserved cytoskeletal core of cilia and flagella. Here we show that axoneme twisting and torsion are coupled and that twist waves propagate along the beating axoneme of Chlamydomonas reinhardtii algae. We resolve the three-dimensional shapes of the axonemal waveform with nanometre precision at millisecond timescales using defocused dark-field microscopy and beat-cycle averaging, observing regular hetero-chiral torsion waves propagating base to tip. To investigate whether the observed torsion results from axonemal twist, we attach gold nanoparticles to axonemes and measure their cross-section rotation during beating. We find that, locally, the axonemal cross-section co-rotates with the bending plane, evidencing twist–torsion coupling. Our results demonstrate the link between shape and mechanical deformation in beating axonemes and can inform models of the dynamics of motor proteins inside the axoneme responsible for shaping the beat of motile cilia.
{"title":"Twist–torsion coupling in beating axonemes","authors":"Martin Striegler, Stefan Diez, Benjamin M. Friedrich, Veikko F. Geyer","doi":"10.1038/s41567-025-02783-2","DOIUrl":"https://doi.org/10.1038/s41567-025-02783-2","url":null,"abstract":"<p>Motile cilia and flagella produce regular bending waves that enable single-cell navigation due to non-planar waveforms with characteristic torsion. However, it is not known how torsion, a geometric property of the three-dimensional waveform, relates to mechanical twist deformations of the axoneme, the conserved cytoskeletal core of cilia and flagella. Here we show that axoneme twisting and torsion are coupled and that twist waves propagate along the beating axoneme of <i>Chlamydomonas reinhardtii</i> algae. We resolve the three-dimensional shapes of the axonemal waveform with nanometre precision at millisecond timescales using defocused dark-field microscopy and beat-cycle averaging, observing regular hetero-chiral torsion waves propagating base to tip. To investigate whether the observed torsion results from axonemal twist, we attach gold nanoparticles to axonemes and measure their cross-section rotation during beating. We find that, locally, the axonemal cross-section co-rotates with the bending plane, evidencing twist–torsion coupling. Our results demonstrate the link between shape and mechanical deformation in beating axonemes and can inform models of the dynamics of motor proteins inside the axoneme responsible for shaping the beat of motile cilia.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"27 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143477730","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}
Pub Date : 2025-02-21DOI: 10.1038/s41567-025-02785-0
Marco Cattaneo, Giulia Guerriero, Gazendra Shakya, Lisa A. Krattiger, Lorenza G. Paganella, Maria L. Narciso, Outi Supponen
The pursuit of targeted therapies capable of overcoming biological barriers, including the blood–brain barrier, has spurred the investigation of stimuli-responsive microagents that can improve therapeutic efficacy and reduce undesirable side effects. Intravenously administered, ultrasound-responsive microbubbles are promising agents with demonstrated potential in clinical trials, but the mechanism underlying drug absorption remains unclear. Here we show that ultrasound-driven single microbubbles puncture the cell membrane and induce drug uptake through stable cyclic microjets. Our theoretical models successfully reproduce the observed bubble and cell dynamic responses. We find that cyclic jets arise from shape instabilities, as opposed to classical inertial jets that are driven by pressure gradients, enabling microjet formation at mild ultrasound pressures below 100 kPa. We also establish a threshold for bubble radial expansion beyond which microjets form and facilitate cellular permeation and show that the stress generated by microjetting outperforms previously suggested mechanisms by at least an order of magnitude. Overall, this work elucidates the physics behind microbubble-mediated targeted drug delivery and provides the criteria for its effective and safe application.
{"title":"Cyclic jetting enables microbubble-mediated drug delivery","authors":"Marco Cattaneo, Giulia Guerriero, Gazendra Shakya, Lisa A. Krattiger, Lorenza G. Paganella, Maria L. Narciso, Outi Supponen","doi":"10.1038/s41567-025-02785-0","DOIUrl":"https://doi.org/10.1038/s41567-025-02785-0","url":null,"abstract":"<p>The pursuit of targeted therapies capable of overcoming biological barriers, including the blood‚Äìbrain barrier, has spurred the investigation of stimuli-responsive microagents that can improve therapeutic efficacy and reduce undesirable side effects. Intravenously administered, ultrasound-responsive microbubbles are promising agents with demonstrated potential in clinical trials, but the mechanism underlying drug absorption remains unclear. Here we show that ultrasound-driven single microbubbles puncture the cell membrane and induce drug uptake through stable cyclic microjets. Our theoretical models successfully reproduce the observed bubble and cell dynamic responses. We find that cyclic jets arise from shape instabilities, as opposed to classical inertial jets that are driven by pressure gradients, enabling microjet formation at mild ultrasound pressures below 100‚ÄâkPa. We also establish a threshold for bubble radial expansion beyond which microjets form and facilitate cellular permeation and show that the stress generated by microjetting outperforms previously suggested mechanisms by at least an order of magnitude. Overall, this work elucidates the physics behind microbubble-mediated targeted drug delivery and provides the criteria for its effective and safe application.</p>","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"24 1","pages":""},"PeriodicalIF":19.6,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143462891","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}
Pub Date : 2025-02-21DOI: 10.1038/s41567-024-02760-1
Thomas A. Hensel, Jan O. Wirth, Ole L. Schwarz, Stefan W. Hell
Resolving two or more constantly scattering identical point sources using freely propagating waves is limited by diffraction. Here we show that, by illuminating with a diffraction minimum, a given number of point scatterers can be resolved at distances of small fractions of the wavelength. Specifically, we identify an 8 nm distance, which corresponds to 1/80 of the employed 640 nm wavelength, between two constantly emitting fluorescent molecules in the focal plane of an optical microscope. We also measure 22 nm side length for a quadratic array of four molecules. Moreover, we show that the measurement precision improves with decreasing distance and with increased scatterer density. This work opens up the prospect of resolving individual scatterers in clusters that are far smaller than the wavelength. The central maximum of a diffraction pattern is commonly used to resolve point-like scatterers. Now spatial resolution far below the diffraction limit is achieved by using the scattering minima.
{"title":"Diffraction minima resolve point scatterers at few hundredths of the wavelength","authors":"Thomas A. Hensel, Jan O. Wirth, Ole L. Schwarz, Stefan W. Hell","doi":"10.1038/s41567-024-02760-1","DOIUrl":"10.1038/s41567-024-02760-1","url":null,"abstract":"Resolving two or more constantly scattering identical point sources using freely propagating waves is limited by diffraction. Here we show that, by illuminating with a diffraction minimum, a given number of point scatterers can be resolved at distances of small fractions of the wavelength. Specifically, we identify an 8 nm distance, which corresponds to 1/80 of the employed 640 nm wavelength, between two constantly emitting fluorescent molecules in the focal plane of an optical microscope. We also measure 22 nm side length for a quadratic array of four molecules. Moreover, we show that the measurement precision improves with decreasing distance and with increased scatterer density. This work opens up the prospect of resolving individual scatterers in clusters that are far smaller than the wavelength. The central maximum of a diffraction pattern is commonly used to resolve point-like scatterers. Now spatial resolution far below the diffraction limit is achieved by using the scattering minima.","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"21 3","pages":"412-420"},"PeriodicalIF":17.6,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.nature.com/articles/s41567-024-02760-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143462758","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}
Pub Date : 2025-02-19DOI: 10.1038/s41567-024-02757-w
Ana P. Millán, Hanlin Sun, Lorenzo Giambagli, Riccardo Muolo, Timoteo Carletti, Joaquín J. Torres, Filippo Radicchi, Jürgen Kurths, Ginestra Bianconi
Higher-order networks capture the many-body interactions present in complex systems, shedding light on the interplay between topology and dynamics. The theory of higher-order topological dynamics, which combines higher-order interactions with discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems, such as the brain and the climate, and to advance the development of next-generation AI algorithms. This theoretical framework, which goes beyond traditional node-centric descriptions, encodes the dynamics of a network through topological signals—variables assigned not only to nodes but also to edges, triangles and other higher-order cells. Recent findings show that topological signals lead to the emergence of distinct types of dynamical state and collective phenomena, including topological and Dirac synchronization, pattern formation and triadic percolation. These results offer insights into how topology shapes dynamics, how dynamics learns topology and how topology evolves dynamically. This Perspective primarily aims to guide physicists, mathematicians, computer scientists and network scientists through the emerging field of higher-order topological dynamics, while also outlining future research challenges. Higher-order interactions reveal new aspects of the interplay between topology and dynamics in complex systems. This Perspective describes the emerging field of higher-order topological dynamics and discusses the open research questions in the area.
{"title":"Topology shapes dynamics of higher-order networks","authors":"Ana P. Millán, Hanlin Sun, Lorenzo Giambagli, Riccardo Muolo, Timoteo Carletti, Joaquín J. Torres, Filippo Radicchi, Jürgen Kurths, Ginestra Bianconi","doi":"10.1038/s41567-024-02757-w","DOIUrl":"10.1038/s41567-024-02757-w","url":null,"abstract":"Higher-order networks capture the many-body interactions present in complex systems, shedding light on the interplay between topology and dynamics. The theory of higher-order topological dynamics, which combines higher-order interactions with discrete topology and nonlinear dynamics, has the potential to enhance our understanding of complex systems, such as the brain and the climate, and to advance the development of next-generation AI algorithms. This theoretical framework, which goes beyond traditional node-centric descriptions, encodes the dynamics of a network through topological signals—variables assigned not only to nodes but also to edges, triangles and other higher-order cells. Recent findings show that topological signals lead to the emergence of distinct types of dynamical state and collective phenomena, including topological and Dirac synchronization, pattern formation and triadic percolation. These results offer insights into how topology shapes dynamics, how dynamics learns topology and how topology evolves dynamically. This Perspective primarily aims to guide physicists, mathematicians, computer scientists and network scientists through the emerging field of higher-order topological dynamics, while also outlining future research challenges. Higher-order interactions reveal new aspects of the interplay between topology and dynamics in complex systems. This Perspective describes the emerging field of higher-order topological dynamics and discusses the open research questions in the area.","PeriodicalId":19100,"journal":{"name":"Nature Physics","volume":"21 3","pages":"353-361"},"PeriodicalIF":17.6,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143443228","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}