Hao-Ran Yan, Pei-Chao Cao, Yan-Xiang Wang, Xue-Feng Zhu, Ying Li
Berry (geometric) phase has attracted a lot of interest and permeated into all aspects of physics including photonics, crystal dynamics, electromagnetism and heat transfer since it was discovered, leading to various unprecedented effects both in classical and quantum systems, such as Hannay angle, quantum Hall effect, orbital magnetism and Thouless pumping. Heat pumping is one of the most prominent and fantastic application of geometric phase in heat transport. Here we derive a general heat pumping theory based on classical diffusion equation and continuous modulation of system parameters in macroscopic thermal diffusion system and obtain a formula which is reminiscent of contact between Berry phase and the Berry curvature. Furthermore, we discuss two cases of non-trivial zero heat flux after one cycle which is fundamentally different from the trivial zero heat flux generated by static zero heat bias in physical nature. Then we analyze the dependence of the effect on the system thermal parameters, including some counterintuitive phenomenon. Finally, under the guidance of this theory, we conduct an experiment to demonstrate the accuracy and effectiveness of our theory and observe the heat pumping effect regardless of the presence and the absence of the thermal bias between two ports of system. In general, our work clearly derives the universal form of heat pumping theory under arbitrary form of the modulation in the macroscopic thermal diffusion system, this is of great significance for better heat energy transport, heat manipulation and so on. It also establishes the foundation of achieving other non-reciprocity devices or topological devices with the aid of spatiotemporal modulation.
{"title":"Geometric heat pumping under continuous modulation in thermal diffusion","authors":"Hao-Ran Yan, Pei-Chao Cao, Yan-Xiang Wang, Xue-Feng Zhu, Ying Li","doi":"arxiv-2406.19100","DOIUrl":"https://doi.org/arxiv-2406.19100","url":null,"abstract":"Berry (geometric) phase has attracted a lot of interest and permeated into\u0000all aspects of physics including photonics, crystal dynamics, electromagnetism\u0000and heat transfer since it was discovered, leading to various unprecedented\u0000effects both in classical and quantum systems, such as Hannay angle, quantum\u0000Hall effect, orbital magnetism and Thouless pumping. Heat pumping is one of the\u0000most prominent and fantastic application of geometric phase in heat transport.\u0000Here we derive a general heat pumping theory based on classical diffusion\u0000equation and continuous modulation of system parameters in macroscopic thermal\u0000diffusion system and obtain a formula which is reminiscent of contact between\u0000Berry phase and the Berry curvature. Furthermore, we discuss two cases of\u0000non-trivial zero heat flux after one cycle which is fundamentally different\u0000from the trivial zero heat flux generated by static zero heat bias in physical\u0000nature. Then we analyze the dependence of the effect on the system thermal\u0000parameters, including some counterintuitive phenomenon. Finally, under the\u0000guidance of this theory, we conduct an experiment to demonstrate the accuracy\u0000and effectiveness of our theory and observe the heat pumping effect regardless\u0000of the presence and the absence of the thermal bias between two ports of\u0000system. In general, our work clearly derives the universal form of heat pumping\u0000theory under arbitrary form of the modulation in the macroscopic thermal\u0000diffusion system, this is of great significance for better heat energy\u0000transport, heat manipulation and so on. It also establishes the foundation of\u0000achieving other non-reciprocity devices or topological devices with the aid of\u0000spatiotemporal modulation.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"94 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510233","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We resort to variational methods to evaluate the asymptotic behavior of fine metamaterials as a function of cell size. To zeroth order, the metamaterial behaves as a micropolar continuum with both displacement and rotation degrees of freedom, but exhibits linear-elastic fracture mechanics scaling and therefore no size effect. To higher order, the overall energetics of the metastructure can be characterized explicitly in terms of the solution of the zeroth-order continuum problem by the method of {Gamma}-expansion. We present explicit expressions of the second-order correction for octet frames. As an application, we evaluate the compliance of double-cantilever octet specimens to second order and use the result to elucidate the dependence of the apparent toughness of the specimen on cell size. The analysis predicts the discreteness of the metamaterial lattice to effectively shield the crack-tip, a mechanism that we term lattice shielding. The theory specifically predicts anti-shielding, i. e., coarser is weaker, in agreement with recent experimental observations.
{"title":"Fracture and size effect in mechanical metamaterials","authors":"J. Ulloa, M. P. Ariza, J. E. Andrade, M. Ortiz","doi":"arxiv-2407.00095","DOIUrl":"https://doi.org/arxiv-2407.00095","url":null,"abstract":"We resort to variational methods to evaluate the asymptotic behavior of fine\u0000metamaterials as a function of cell size. To zeroth order, the metamaterial\u0000behaves as a micropolar continuum with both displacement and rotation degrees\u0000of freedom, but exhibits linear-elastic fracture mechanics scaling and\u0000therefore no size effect. To higher order, the overall energetics of the\u0000metastructure can be characterized explicitly in terms of the solution of the\u0000zeroth-order continuum problem by the method of {Gamma}-expansion. We present\u0000explicit expressions of the second-order correction for octet frames. As an\u0000application, we evaluate the compliance of double-cantilever octet specimens to\u0000second order and use the result to elucidate the dependence of the apparent\u0000toughness of the specimen on cell size. The analysis predicts the discreteness\u0000of the metamaterial lattice to effectively shield the crack-tip, a mechanism\u0000that we term lattice shielding. The theory specifically predicts\u0000anti-shielding, i. e., coarser is weaker, in agreement with recent experimental\u0000observations.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141520797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We demonstrate how to derive the exponential decrease of amplitude and an excellent approximation of the energy decay of a weakly damped harmonic oscillator. This is achieved using a basic understanding of the undamped harmonic oscillator and the connection between the damping force's power and the energy dissipation rate. The trick is to add the energy dissipation rates corresponding to two specific pairs of initial conditions with the same initial energy. In this way, we obtain a first-order differential equation from which we quickly determine the time-dependent amplitude and the energies corresponding to each pair of considered initial conditions. Comparing the results of our model to the exact solutions and energies yielded an excellent agreement. The physical concepts and mathematical tools we utilize are familiar to first-year undergraduates.
{"title":"Modeling the amplitude and energy decay of a weakly damped harmonic oscillator using the energy dissipation rate and a simple trick","authors":"Karlo Lelas, Robert Pezer","doi":"arxiv-2406.18488","DOIUrl":"https://doi.org/arxiv-2406.18488","url":null,"abstract":"We demonstrate how to derive the exponential decrease of amplitude and an\u0000excellent approximation of the energy decay of a weakly damped harmonic\u0000oscillator. This is achieved using a basic understanding of the undamped\u0000harmonic oscillator and the connection between the damping force's power and\u0000the energy dissipation rate. The trick is to add the energy dissipation rates\u0000corresponding to two specific pairs of initial conditions with the same initial\u0000energy. In this way, we obtain a first-order differential equation from which\u0000we quickly determine the time-dependent amplitude and the energies\u0000corresponding to each pair of considered initial conditions. Comparing the\u0000results of our model to the exact solutions and energies yielded an excellent\u0000agreement. The physical concepts and mathematical tools we utilize are familiar\u0000to first-year undergraduates.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510234","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we introduce the Extreme Metal Vocals Dataset, which comprises a collection of recordings of extreme vocal techniques performed within the realm of heavy metal music. The dataset consists of 760 audio excerpts of 1 second to 30 seconds long, totaling about 100 min of audio material, roughly composed of 60 minutes of distorted voices and 40 minutes of clear voice recordings. These vocal recordings are from 27 different singers and are provided without accompanying musical instruments or post-processing effects. The distortion taxonomy within this dataset encompasses four distinct distortion techniques and three vocal effects, all performed in different pitch ranges. Performance of a state-of-the-art deep learning model is evaluated for two different classification tasks related to vocal techniques, demonstrating the potential of this resource for the audio processing community.
{"title":"EMVD dataset: a dataset of extreme vocal distortion techniques used in heavy metal","authors":"Modan TailleurIRIT-SAMoVA, Julien PinquierIRIT-SAMoVA, Laurent MillotACTE, Corsin VogelLS2N, Mathieu LagrangeLS2N","doi":"arxiv-2406.17732","DOIUrl":"https://doi.org/arxiv-2406.17732","url":null,"abstract":"In this paper, we introduce the Extreme Metal Vocals Dataset, which comprises\u0000a collection of recordings of extreme vocal techniques performed within the\u0000realm of heavy metal music. The dataset consists of 760 audio excerpts of 1\u0000second to 30 seconds long, totaling about 100 min of audio material, roughly\u0000composed of 60 minutes of distorted voices and 40 minutes of clear voice\u0000recordings. These vocal recordings are from 27 different singers and are\u0000provided without accompanying musical instruments or post-processing effects.\u0000The distortion taxonomy within this dataset encompasses four distinct\u0000distortion techniques and three vocal effects, all performed in different pitch\u0000ranges. Performance of a state-of-the-art deep learning model is evaluated for\u0000two different classification tasks related to vocal techniques, demonstrating\u0000the potential of this resource for the audio processing community.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141520796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We investigate the behavior of heat conduction in two-dimensional (2D) electron gases without and with a magnetic field. We perform simulations with the Multi-Particle-Collision approach, suitably adapted to account for the Lorenz force acting on the particles. For zero magnetic field, we find that the heat conductivity $kappa$ diverges with the system size $L$ following the logarithmic relation $kappathicksim ln L$ (as predicted for two-dimensional (2D) systems) for small $L$ values; however, in the thermodynamic limit the heat conductivity tends to follow the relation $kappathicksim L^{1/3}$, as predicted for one-dimensional (1D) fluids. This suggests the presence of a dimensional-crossover effect in heat conduction in electronic systems that adhere to standard momentum conservation. Under the magnetic field, time-reversal symmetry is broken and the standard momentum conservation in the system is no longer satisfied but the emph{pseudomomentum} of the system is still conserved. In contrast with the zero-field case, both equilibrium and non-equilibrium simulations indicate a finite heat conductivity independent on the system size $L$ as $L$ increases. This indicates that pseudomomentum conservation can exhibit normal diffusive heat transport, which differs from the abnormal behavior observed in low-dimensional coupled charged harmonic oscillators with pseudomomentum conservation in a magnetic field. These findings support the validity of the hydrodynamic theory in electron gases and clarify that pseudomomentum conservation is not enough to ensure the anomalous behavior of heat conduction.
{"title":"Heat conduction in low-dimensional electron gases without and with a magnetic field","authors":"Rongxiang Luo, Qiyuan Zhang, Guanming Lin, Stefano Lepri","doi":"arxiv-2406.16067","DOIUrl":"https://doi.org/arxiv-2406.16067","url":null,"abstract":"We investigate the behavior of heat conduction in two-dimensional (2D)\u0000electron gases without and with a magnetic field. We perform simulations with\u0000the Multi-Particle-Collision approach, suitably adapted to account for the\u0000Lorenz force acting on the particles. For zero magnetic field, we find that the\u0000heat conductivity $kappa$ diverges with the system size $L$ following the\u0000logarithmic relation $kappathicksim ln L$ (as predicted for two-dimensional\u0000(2D) systems) for small $L$ values; however, in the thermodynamic limit the\u0000heat conductivity tends to follow the relation $kappathicksim L^{1/3}$, as\u0000predicted for one-dimensional (1D) fluids. This suggests the presence of a\u0000dimensional-crossover effect in heat conduction in electronic systems that\u0000adhere to standard momentum conservation. Under the magnetic field,\u0000time-reversal symmetry is broken and the standard momentum conservation in the\u0000system is no longer satisfied but the emph{pseudomomentum} of the system is\u0000still conserved. In contrast with the zero-field case, both equilibrium and\u0000non-equilibrium simulations indicate a finite heat conductivity independent on\u0000the system size $L$ as $L$ increases. This indicates that pseudomomentum\u0000conservation can exhibit normal diffusive heat transport, which differs from\u0000the abnormal behavior observed in low-dimensional coupled charged harmonic\u0000oscillators with pseudomomentum conservation in a magnetic field. These\u0000findings support the validity of the hydrodynamic theory in electron gases and\u0000clarify that pseudomomentum conservation is not enough to ensure the anomalous\u0000behavior of heat conduction.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We introduce a general framework for many-body force field models, the Completely Multipolar Model (CMM), that utilizes multipolar electrical moments modulated by exponential decay of electron density as a common functional form for all piecewise terms of an energy decomposition analysis of intermolecular interactions. With this common functional form the CMM model establishes well-formulated damped tensors that reach the correct asymptotes at both long- and short-range while formally ensuring no short-range catastrophes. The CMM describes the separable EDA terms of dispersion, exchange polarization, and Pauli repulsion with short-ranged anisotropy, polarization as intramolecular charge fluctuations and induced dipoles, while charge transfer describes explicit movement of charge between molecules, and naturally describes many-body charge transfer by coupling into the polarization equations. We also utilize a new one-body potential that accounts for intramolecular polarization by including an electric field-dependent correction to the Morse potential to ensure that the CMM reproduces all physically relevant monomer properties including the dipole moment, molecular polarizability, and dipole and polarizability derivatives. The quality of the CMM is illustrated through agreement of individual terms of the EDA and excellent extrapolation to energies and geometries of an extensive validation set of water cluster data.
{"title":"Completely Multipolar Model as a General Framework for Many-Body Interactions as Illustrated for Water","authors":"Joseph P. Heindel, Selim Sami, Teresa Head-Gordon","doi":"arxiv-2406.15944","DOIUrl":"https://doi.org/arxiv-2406.15944","url":null,"abstract":"We introduce a general framework for many-body force field models, the\u0000Completely Multipolar Model (CMM), that utilizes multipolar electrical moments\u0000modulated by exponential decay of electron density as a common functional form\u0000for all piecewise terms of an energy decomposition analysis of intermolecular\u0000interactions. With this common functional form the CMM model establishes\u0000well-formulated damped tensors that reach the correct asymptotes at both long-\u0000and short-range while formally ensuring no short-range catastrophes. The CMM\u0000describes the separable EDA terms of dispersion, exchange polarization, and\u0000Pauli repulsion with short-ranged anisotropy, polarization as intramolecular\u0000charge fluctuations and induced dipoles, while charge transfer describes\u0000explicit movement of charge between molecules, and naturally describes\u0000many-body charge transfer by coupling into the polarization equations. We also\u0000utilize a new one-body potential that accounts for intramolecular polarization\u0000by including an electric field-dependent correction to the Morse potential to\u0000ensure that the CMM reproduces all physically relevant monomer properties\u0000including the dipole moment, molecular polarizability, and dipole and\u0000polarizability derivatives. The quality of the CMM is illustrated through\u0000agreement of individual terms of the EDA and excellent extrapolation to\u0000energies and geometries of an extensive validation set of water cluster data.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"53 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141520798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Johan Christensen, Michael R. Haberman, Ankit Srivastava, Guoliang Huang, Gal Shmuel
The manipulation of mechanical waves is a long-standing challenge for scientists and engineers, as numerous devices require their control. The current forefront of research in the control of classical waves has emerged from a seemingly unrelated field, namely, non-Hermitian quantum mechanics. By drawing analogies between this theory and those of classical systems, researchers have discovered phenomena that defy conventional intuition and have exploited them to control light, sound, and elastic waves. Here, we provide a brief perspective on recent developments, challenges and intricacies that distinguish non-Hermitian elastodynamics from optics and acoustics. We close this perspective with an outlook on potential directions such as topological phases in non-Hermitian elastodynamics and broken Hermitian symmetry in materials with electromomentum couplings.
{"title":"Perspective on Non-Hermitian Elastodynamics","authors":"Johan Christensen, Michael R. Haberman, Ankit Srivastava, Guoliang Huang, Gal Shmuel","doi":"arxiv-2407.02513","DOIUrl":"https://doi.org/arxiv-2407.02513","url":null,"abstract":"The manipulation of mechanical waves is a long-standing challenge for\u0000scientists and engineers, as numerous devices require their control. The\u0000current forefront of research in the control of classical waves has emerged\u0000from a seemingly unrelated field, namely, non-Hermitian quantum mechanics. By\u0000drawing analogies between this theory and those of classical systems,\u0000researchers have discovered phenomena that defy conventional intuition and have\u0000exploited them to control light, sound, and elastic waves. Here, we provide a\u0000brief perspective on recent developments, challenges and intricacies that\u0000distinguish non-Hermitian elastodynamics from optics and acoustics. We close\u0000this perspective with an outlook on potential directions such as topological\u0000phases in non-Hermitian elastodynamics and broken Hermitian symmetry in\u0000materials with electromomentum couplings.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"24 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141548561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The interaction between waves and evolving media challenges traditional conservation laws. We experimentally investigate the behavior of elastic wave packets crossing a moving interface that separates two media with distinct propagation properties, observing the non-conservation of wavelength and frequency. Our experimental setup employs an elastic strip whose local stretching can be dynamically altered by pulling one end at a constant velocity. By demonstrating that this dynamic configuration creates a spatio-temporal interface traveling along the strip, we confirm theoretical predictions regarding observed shifts when a wave packet crosses this interface.
{"title":"Elastic wavepackets crossing a space-time interface","authors":"Alexandre Delory, Claire Prada, Maxime Lanoy, Antonin Eddi, Mathias Fink, Fabrice Lemoult","doi":"arxiv-2406.15100","DOIUrl":"https://doi.org/arxiv-2406.15100","url":null,"abstract":"The interaction between waves and evolving media challenges traditional\u0000conservation laws. We experimentally investigate the behavior of elastic wave\u0000packets crossing a moving interface that separates two media with distinct\u0000propagation properties, observing the non-conservation of wavelength and\u0000frequency. Our experimental setup employs an elastic strip whose local\u0000stretching can be dynamically altered by pulling one end at a constant\u0000velocity. By demonstrating that this dynamic configuration creates a\u0000spatio-temporal interface traveling along the strip, we confirm theoretical\u0000predictions regarding observed shifts when a wave packet crosses this\u0000interface.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"237 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141520799","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In the first part of the article, we will outline the paradoxical picture that arises when attempting to calculate the recoil force of water that leaks at the bottom of a water tank. We will present three different options for recoil force acting on the water tank as a result of this leakage (in Chapters 1, 2 and 3). In the second part of the article, we will present an experiment that resolves this question (in Chapter 4). Finally (in Chapter 5), we will present a coherent picture of the description of the leakage and the result recoil force.
{"title":"The Paradox of the Recoil Force Acting on a Leaking Water Tank","authors":"Avi Marchewka, Yiftah Navot","doi":"arxiv-2406.13330","DOIUrl":"https://doi.org/arxiv-2406.13330","url":null,"abstract":"In the first part of the article, we will outline the paradoxical picture\u0000that arises when attempting to calculate the recoil force of water that leaks\u0000at the bottom of a water tank. We will present three different options for\u0000recoil force acting on the water tank as a result of this leakage (in Chapters\u00001, 2 and 3). In the second part of the article, we will present an experiment\u0000that resolves this question (in Chapter 4). Finally (in Chapter 5), we will\u0000present a coherent picture of the description of the leakage and the result\u0000recoil force.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141510236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Vibration attenuation has played a crucial role in engineering structure, wherein metamaterials have found escalated usage. These structures can be cleverly built to be lightweight and have negative mass properties, which can attenuate waves at specific frequency bands. The first part studies wave propagation in meta-beam with coupled acoustic black holes and local resonators, whereas the second part discusses multi-stable nonlinear oscillators in a 1D metamaterial chain.
{"title":"Dynamics of Coupled Metamaterials: Acoustic Black Hole, Local Resonator & Multistable Oscillator","authors":"Arghya Mondal","doi":"arxiv-2406.17799","DOIUrl":"https://doi.org/arxiv-2406.17799","url":null,"abstract":"Vibration attenuation has played a crucial role in engineering structure,\u0000wherein metamaterials have found escalated usage. These structures can be\u0000cleverly built to be lightweight and have negative mass properties, which can\u0000attenuate waves at specific frequency bands. The first part studies wave\u0000propagation in meta-beam with coupled acoustic black holes and local\u0000resonators, whereas the second part discusses multi-stable nonlinear\u0000oscillators in a 1D metamaterial chain.","PeriodicalId":501482,"journal":{"name":"arXiv - PHYS - Classical Physics","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141520802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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