Pub Date : 2024-10-09DOI: 10.1140/epjb/s10051-024-00773-6
Sourav Bhattacharjee, Souvik Bandyopadhyay, Anatoli Polkovnikov
Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequencies, Floquet systems remain energetically stable in a robust prethermal phase with exponentially long heating times. We propose sensitivity (susceptibility) of Floquet eigenstates against infinitesimal deformations of the drive, as a sharp and sensitive measure to detect this heating transition. It also captures various regimes (timescales) of Floquet thermalization accurately. Particularly, we find that at low frequencies near the onset of unbounded heating, Floquet eigenstates are maximally sensitive to perturbations and consequently the scaled susceptibility develops a sharp maximum. We further connect our results to the relaxation dynamics of local observables to show that near the onset of Floquet heating, the system is nonergodic with slow glassy dynamics despite being nonintegrable at all driving frequencies.
{"title":"Sharp detection of the onset of Floquet heating using eigenstate sensitivity","authors":"Sourav Bhattacharjee, Souvik Bandyopadhyay, Anatoli Polkovnikov","doi":"10.1140/epjb/s10051-024-00773-6","DOIUrl":"10.1140/epjb/s10051-024-00773-6","url":null,"abstract":"<p>Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequencies, Floquet systems remain energetically stable in a robust prethermal phase with exponentially long heating times. We propose sensitivity (susceptibility) of Floquet eigenstates against infinitesimal deformations of the drive, as a sharp and sensitive measure to detect this heating transition. It also captures various regimes (timescales) of Floquet thermalization accurately. Particularly, we find that at low frequencies near the onset of unbounded heating, Floquet eigenstates are maximally sensitive to perturbations and consequently the scaled susceptibility develops a sharp maximum. We further connect our results to the relaxation dynamics of local observables to show that near the onset of Floquet heating, the system is nonergodic with slow glassy dynamics despite being nonintegrable at all driving frequencies.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-10-09DOI: 10.1140/epjb/s10051-024-00787-0
Hong-Bin Zhang, Deng-Ping Tang
We consider a large population of (textit{M}) agents, who are randomly selected to form size-distributed groups from time to time, and the grouped agents engage in the Public Goods Game (PGG). The size (textit{g}) of the group is within (textit{g}_textit{l}) and (textit{g}_textit{h}), where (textit{g}_textit{l}) and (textit{g}_textit{h}) are the lower and upper limits of the group size, respectively. Players have two strategies to choose, i.e., to cooperate (C), or to defect (D). Based on the dynamic grouping, we investigate the cooperative behavior of the system, and the results show that the frequency of cooperation is greatly affected by the noise intensity and group size distribution. In the evolutionary process, the payoffs of the cooperators (defectors) mainly depend on the strategy selection implemented by the death-birth process. For (textit{g}in text {[1,3]}), different noise intensities (textit{K}) induce different dynamic behaviors together with the multiplication factor (textit{r}). For (textit{g}in text {[1,5]}), the system may evolve to one of the bistable states (one is the totally cooperative state and the other is a mixed state with cooperators and defectors) starting from different initial concentrations of cooperation. The results of numerical computation seems to fit well with the simulation data. Furthermore, for (K=1.0) and (g in [1,5]), we still observe the phenomenon of hysteresis effect where the system just reaches to the totally cooperative state slowly after a period of delay with increasing multiplication factor r. In addition, when one D-player tries to invade the C-population, there exists a critical game parameter (textit{r}_textit{invade}), below which the C-population will be invaded. We also study how the critical game parameter relies on the noise intensity and the group size distribution.
我们考虑一个由 (textit{M})个代理组成的大群体,这些代理被随机选中,不定时地组成规模分散的群体,群体中的代理参与公共物品博弈(PGG)。群体的规模在(textit{g}_textit{l})和(textit{g}_textit{h})之内,其中(textit{g}_textit{l})和(textit{g}_textit{h})分别是群体规模的下限和上限。参与者有两种策略可供选择,即合作(C)或叛变(D)。在动态分组的基础上,我们研究了系统的合作行为,结果表明,合作频率受噪声强度和分组规模分布的影响很大。在演化过程中,合作者(叛逃者)的报酬主要取决于死亡-出生过程中的策略选择。对于(textit{g}in text {[1,3]})来说,不同的噪声强度(textit{K})和乘法因子(textit{r})会引起不同的动态行为。对于 (textit{g}in text {[1,5]}),系统可能会从不同的初始合作浓度演化到双稳态之一(一种是完全合作状态,另一种是合作者与叛逃者混合状态)。数值计算的结果似乎与模拟数据十分吻合。此外,当一个 D-参与者试图入侵 C-种群时,存在一个临界博弈参数 (textit{r}_textit{invade}),低于该参数,C-种群将被入侵。我们还研究了临界博弈参数如何依赖于噪声强度和群体规模分布。
{"title":"Effects of group size and noise on cooperation in population evolution of dynamic groups","authors":"Hong-Bin Zhang, Deng-Ping Tang","doi":"10.1140/epjb/s10051-024-00787-0","DOIUrl":"10.1140/epjb/s10051-024-00787-0","url":null,"abstract":"<p>We consider a large population of <span>(textit{M})</span> agents, who are randomly selected to form size-distributed groups from time to time, and the grouped agents engage in the Public Goods Game (PGG). The size <span>(textit{g})</span> of the group is within <span>(textit{g}_textit{l})</span> and <span>(textit{g}_textit{h})</span>, where <span>(textit{g}_textit{l})</span> and <span>(textit{g}_textit{h})</span> are the lower and upper limits of the group size, respectively. Players have two strategies to choose, i.e., to cooperate (C), or to defect (D). Based on the dynamic grouping, we investigate the cooperative behavior of the system, and the results show that the frequency of cooperation is greatly affected by the noise intensity and group size distribution. In the evolutionary process, the payoffs of the cooperators (defectors) mainly depend on the strategy selection implemented by the death-birth process. For <span>(textit{g}in text {[1,3]})</span>, different noise intensities <span>(textit{K})</span> induce different dynamic behaviors together with the multiplication factor <span>(textit{r})</span>. For <span>(textit{g}in text {[1,5]})</span>, the system may evolve to one of the bistable states (one is the totally cooperative state and the other is a mixed state with cooperators and defectors) starting from different initial concentrations of cooperation. The results of numerical computation seems to fit well with the simulation data. Furthermore, for <span>(K=1.0)</span> and <span>(g in [1,5])</span>, we still observe the phenomenon of hysteresis effect where the system just reaches to the totally cooperative state slowly after a period of delay with increasing multiplication factor <i>r</i>. In addition, when one D-player tries to invade the C-population, there exists a critical game parameter <span>(textit{r}_textit{invade})</span>, below which the C-population will be invaded. We also study how the critical game parameter relies on the noise intensity and the group size distribution.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-10-08DOI: 10.1140/epjb/s10051-024-00788-z
Vivek Pandey, Sudhir K. Pandey
This work establishes the existence of dispersive nodal-arcs and their evolution into Weyl nodes under the effect of spin-orbit coupling (SOC) in NbAs and NbP. The obtained features mimic the observations as reported for TaAs and TaP in our previous work (Pandey in J Phys Condens Matter 35:455501, 2023). In addition, this work reports that the number of nodes in the TaAs class of Weyl semimetals (WSMs) can be altered by creating strain along a or c direction of the crystals. For instance, the number of nodes in NbAs under SOC-effect along with 2% (3%) tensile-strain in a direction is found to be 40 (56) in its full Brillouin zone (BZ). Besides the nodes, such strain are found to have considerable impact on the nodal-lines of these WSMs when effect of SOC is ignored. In the absence of SOC, a 3% tensile (compressive) strain along the a (c) direction leads to the partially merging of nodal-lines in the extended BZ of NbAs and NbP, which is not observed in TaAs and TaP within the range of – 3% to 3% strain. Apart from this, the work discusses the role of Weyl physics in affecting the Seebeck coefficient (S) of any WSM. In this direction, it is discussed that how a symmetric Weyl cone, even if tilted, will have no contribution to the S of WSMs. Furthermore, the work highlights the conditions under which a Weyl cone can contribute to the S of a given WSM. Next, the discussion of Weyl contribution to S is validated over TaAs class of WSMs via investigating the features of their Weyl cones and calculating the contributions of such cones to the S of these semimetals. Weyl-cone contributed S in these WSMs is found to be anisotropic within the temperature range of 0–100 K. The value of S contributed from Weyl cone is found to be as large as (sim )70 (mu )V/K below 25 K in case of NbP. Lastly, the expected effect of axial strain and change in SOC-strength on S of TaAs class of WSMs is discussed. The findings of this work present a possibility of engineering the topological properties of TaAs class of WSMs via creating strain in their crystal. It also makes the picture of Weyl physics’ impact on the S of WSMs a more clear.
这项工作证实了在 NbAs 和 NbP 中存在色散节点弧,并在自旋轨道耦合 (SOC) 作用下将其演化为 Weyl 节点。所获得的特征与我们之前的工作(Pandey in J Phys Condens Matter 35:455501, 2023)中对 TaAs 和 TaP 的观察结果相似。此外,这项工作还报告了 TaAs 类韦尔半金属(WSMs)的节点数量可以通过沿晶体的 a 或 c 方向产生应变来改变。例如,在 SOC 效应和沿 a 方向 2% (3%) 的拉伸应变作用下,发现 NbAs 在其全布里渊区 (BZ) 中的节点数量为 40 (56)。在忽略 SOC 效应的情况下,除了节点之外,这种应变对这些 WSM 的节点线也有相当大的影响。在没有 SOC 的情况下,沿 a(c)方向 3% 的拉伸(压缩)应变会导致 NbAs 和 NbP 的扩展 BZ 中的节点线部分合并,而在 - 3% 到 3% 的应变范围内,TaAs 和 TaP 中没有观察到这种现象。除此之外,该研究还讨论了韦尔物理学在影响任何 WSM 的塞贝克系数 (S) 方面的作用。在这方面,研究讨论了对称的韦尔锥即使倾斜,也不会对 WSM 的塞贝克系数产生任何影响。此外,这项工作还强调了韦尔锥能够对给定 WSM 的 S 做出贡献的条件。接下来,通过研究 TaAs 类 WSM 的 Weyl 锥的特征并计算这些锥对这些半金属的 S 的贡献,验证了关于 Weyl 对 S 的贡献的讨论。在 NbP 的情况下,Weyl 锥贡献的 S 值在 25 K 以下高达 (sim )70 (mu )V/K 。最后,讨论了轴向应变和 SOC 强度变化对 TaAs 类 WSM 的 S 的预期影响。这项研究成果为通过在晶体中产生应变来设计 TaAs 类微晶显示器的拓扑特性提供了可能性。这也使韦尔物理学对 WSMs S 的影响更加清晰。
{"title":"An ab-initio study of nodal-arcs, axial strain’s effect on nodal-lines and Weyl nodes and Weyl-contributed Seebeck coefficient in TaAs class of Weyl semimetals","authors":"Vivek Pandey, Sudhir K. Pandey","doi":"10.1140/epjb/s10051-024-00788-z","DOIUrl":"10.1140/epjb/s10051-024-00788-z","url":null,"abstract":"<p>This work establishes the existence of dispersive <i>nodal-arcs</i> and their evolution into Weyl nodes under the effect of spin-orbit coupling (SOC) in NbAs and NbP. The obtained features mimic the observations as reported for TaAs and TaP in our previous work (Pandey in J Phys Condens Matter 35:455501, 2023). In addition, this work reports that the number of nodes in the TaAs class of Weyl semimetals (WSMs) can be altered by creating strain along <i>a</i> or <i>c</i> direction of the crystals. For instance, the number of nodes in NbAs under SOC-effect along with 2% (3%) tensile-strain in <i>a</i> direction is found to be 40 (56) in its full Brillouin zone (BZ). Besides the nodes, such strain are found to have considerable impact on the nodal-lines of these WSMs when effect of SOC is ignored. In the absence of SOC, a 3% tensile (compressive) strain along the <i>a</i> (<i>c</i>) direction leads to the partially merging of nodal-lines in the extended BZ of NbAs and NbP, which is not observed in TaAs and TaP within the range of – 3% to 3% strain. Apart from this, the work discusses the role of Weyl physics in affecting the Seebeck coefficient (<i>S</i>) of any WSM. In this direction, it is discussed that how a symmetric Weyl cone, even if tilted, will have no contribution to the <i>S</i> of WSMs. Furthermore, the work highlights the conditions under which a Weyl cone can contribute to the <i>S</i> of a given WSM. Next, the discussion of Weyl contribution to <i>S</i> is validated over TaAs class of WSMs via investigating the features of their Weyl cones and calculating the contributions of such cones to the <i>S</i> of these semimetals. Weyl-cone contributed <i>S</i> in these WSMs is found to be anisotropic within the temperature range of 0–100 K. The value of <i>S</i> contributed from Weyl cone is found to be as large as <span>(sim )</span>70 <span>(mu )</span><i>V</i>/<i>K</i> below 25 K in case of NbP. Lastly, the expected effect of axial strain and change in SOC-strength on <i>S</i> of TaAs class of WSMs is discussed. The findings of this work present a possibility of engineering the topological properties of TaAs class of WSMs via creating strain in their crystal. It also makes the picture of Weyl physics’ impact on the <i>S</i> of WSMs a more clear.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-10-07DOI: 10.1140/epjb/s10051-024-00781-6
Rakhi Kumari, Pradeep Bhadola, Nivedita Deo
We present a novel method for analyzing the structural organization of protein families by integrating random matrix theory (RMT) and network theory with the physiochemical properties of amino acids and multiple sequence alignment. RMT distinguishes significant interactions between amino acids from background noise, pinpointing coevolving positions likely crucial for protein structure and function. This property-based approach captures both short and long-range correlations, unlike previous methods that treat amino acids as mere characters. The eigenvector components of eigenvalues outside the RMT bound deviate from typical RMT observations, offering critical system information. We quantify the information content of each eigenvector using an entropic estimate, showing that the smallest eigenvectors are highly localized and informative. These eigenvectors form clusters of biologically and structurally significant positions, validated by experiments. By creating networks of amino acid interactions for each property, we uncover key motifs and interactions. This method enhances our understanding of protein evolution, interactions, and potential targets to modulate enzymatic actions. We study two protein families Cadherin-4 and Betalactamase families which display two extreme characteristics one nearly random and the other very structured or organised.
{"title":"Statistical analysis of proteins families: a network and random matrix approach","authors":"Rakhi Kumari, Pradeep Bhadola, Nivedita Deo","doi":"10.1140/epjb/s10051-024-00781-6","DOIUrl":"10.1140/epjb/s10051-024-00781-6","url":null,"abstract":"<p>We present a novel method for analyzing the structural organization of protein families by integrating random matrix theory (RMT) and network theory with the physiochemical properties of amino acids and multiple sequence alignment. RMT distinguishes significant interactions between amino acids from background noise, pinpointing coevolving positions likely crucial for protein structure and function. This property-based approach captures both short and long-range correlations, unlike previous methods that treat amino acids as mere characters. The eigenvector components of eigenvalues outside the RMT bound deviate from typical RMT observations, offering critical system information. We quantify the information content of each eigenvector using an entropic estimate, showing that the smallest eigenvectors are highly localized and informative. These eigenvectors form clusters of biologically and structurally significant positions, validated by experiments. By creating networks of amino acid interactions for each property, we uncover key motifs and interactions. This method enhances our understanding of protein evolution, interactions, and potential targets to modulate enzymatic actions. We study two protein families Cadherin-4 and Betalactamase families which display two extreme characteristics one nearly random and the other very structured or organised.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-10-04DOI: 10.1140/epjb/s10051-024-00783-4
Mayyadah H. Mohsin, Khawla S. Khashan, Ghassan M. Sulaiman
This study thoroughly investigates the characterization of cubic gadolinium oxide nanoparticles (c-Gd2O3NPs) synthesized via laser ablation and fragmentation in liquid, emphasizing the impact of laser fluence and wavelength on nanoparticle morphology. FESEM and HRTEM analyses reveal significant morphological variations, including the formation of nanotubes and nanoflakes, in response to different laser fluences. XRD analysis identifies distinct phases of c-Gd2O3NPs, with prominent reflections in the cubic phase and additional reflections in the monoclinic phase. Utilizing a second harmonic wavelength (532 nm) results in higher laser fluence compared to the fundamental wavelength (1064 nm), leading to more efficient ablation and fragmentation. This produces smaller, more uniform nanoparticles with enhanced optical properties, such as increased absorbance and transmittance. The 532 nm wavelength notably influences NPs size and shape, resulting in smaller particles with controlled size distribution and morphology. This modification leads to distinct absorbance and transmittance characteristics, often causing a blue shift in the absorption edge due to the quantum confinement effect, where the energy band gap increases as particle size decreases. These findings contribute to refining the synthesis process and enhancing the understanding of the mechanisms governing NP formation. This knowledge guides the synthesis procedure and harnesses tailored features of c-Gd2O3NPs for improved performance in various applications.
{"title":"Effect of laser parameters on the structural properties of gadolinium oxide nanoparticles synthesis via pulsed laser ablation in liquid","authors":"Mayyadah H. Mohsin, Khawla S. Khashan, Ghassan M. Sulaiman","doi":"10.1140/epjb/s10051-024-00783-4","DOIUrl":"10.1140/epjb/s10051-024-00783-4","url":null,"abstract":"<div><p>This study thoroughly investigates the characterization of cubic gadolinium oxide nanoparticles (c-Gd<sub>2</sub>O<sub>3</sub>NPs) synthesized via laser ablation and fragmentation in liquid, emphasizing the impact of laser fluence and wavelength on nanoparticle morphology. FESEM and HRTEM analyses reveal significant morphological variations, including the formation of nanotubes and nanoflakes, in response to different laser fluences. XRD analysis identifies distinct phases of c-Gd<sub>2</sub>O<sub>3</sub>NPs, with prominent reflections in the cubic phase and additional reflections in the monoclinic phase. Utilizing a second harmonic wavelength (532 nm) results in higher laser fluence compared to the fundamental wavelength (1064 nm), leading to more efficient ablation and fragmentation. This produces smaller, more uniform nanoparticles with enhanced optical properties, such as increased absorbance and transmittance. The 532 nm wavelength notably influences NPs size and shape, resulting in smaller particles with controlled size distribution and morphology. This modification leads to distinct absorbance and transmittance characteristics, often causing a blue shift in the absorption edge due to the quantum confinement effect, where the energy band gap increases as particle size decreases. These findings contribute to refining the synthesis process and enhancing the understanding of the mechanisms governing NP formation. This knowledge guides the synthesis procedure and harnesses tailored features of c-Gd<sub>2</sub>O<sub>3</sub>NPs for improved performance in various applications.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409865","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 : 2024-10-04DOI: 10.1140/epjb/s10051-024-00790-5
M. M. Babayev, B. H. Mehdyev, Kh. B. Sultanova
Thermopower in a semiconductor quantum well with the modified Pöschl–Teller confining potential is calculated, taking into account the drag of electrons by phonons. Based on the obtained theoretical results, the temperature dependence of thermopower in a (text{GaAs}/{text{Al}}_{x}{text{Ga}}_{1-x}As) quantum well at low temperatures has been studied. Numerical calculations show that our theoretical results are in good agreement with experimental ones. This indicates that the modified Pöschl–Teller potential describes well the confinement potential in semiconductor quantum wells.