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Статті в журналах з теми "Collective rotation"

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Автор: Grafiati

Опубліковано: 7 липня 2024

Оновлено: 7 липня 2024

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1

Ma, R., E. S. Paul, D. B. Fossan, Y. Liang, N. Xu, R. Wadsworth, I. Jenkins, and P. J. Nolan. "Rotational bands inCe135: Collective prolate and oblate rotation." Physical Review C 41, no. 6 (June 1, 1990): 2624–34. http://dx.doi.org/10.1103/physrevc.41.2624.

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2

Shelton, David P. "Collective molecular rotation in D2O." Journal of Chemical Physics 117, no. 20 (November 22, 2002): 9374–82. http://dx.doi.org/10.1063/1.1514976.

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3

Mafu, Mhlambululi, Comfort Sekga, and Makhamisa Senekane. "Security of Bennett–Brassard 1984 Quantum-Key Distribution under a Collective-Rotation Noise Channel." Photonics 9, no. 12 (December 6, 2022): 941. http://dx.doi.org/10.3390/photonics9120941.

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The security analysis of the Ekert 1991 (E91), Bennett 1992 (B92), six-state protocol, Scarani–Acín–Ribordy–Gisin 2004 (SARG04) quantum key distribution (QKD) protocols, and their variants have been studied in the presence of collective-rotation noise channels. However, besides the Bennett–Brassard 1984 (BB84) being the first proposed, extensively studied, and essential protocol, its security proof under collective-rotation noise is still missing. Thus, we aim to close this gap in the literature. Consequently, we investigate how collective-rotation noise channels affect the security of the BB84 protocol. Mainly, we study scenarios where the eavesdropper, Eve, conducts an intercept-resend attack on the transmitted photons sent via a quantum communication channel shared by Alice and Bob. Notably, we distinguish the impact of collective-rotation noise and that of the eavesdropper. To achieve this, we provide rigorous, yet straightforward numerical calculations. First, we derive a model for the collective-rotation noise for the BB84 protocol and parametrize the mutual information shared between Alice and Eve. This is followed by deriving the quantum bit error rate (QBER) for two intercept-resend attack scenarios. In particular, we demonstrate that, for small rotation angles, one can extract a secure secret key under a collective-rotation noise channel when there is no eavesdropping. We observe that noise induced by rotation of 0.35 radians of the prepared quantum state results in a QBER of 11%, which corresponds to the lower bound on the tolerable error rate for the BB84 QKD protocol against general attacks. Moreover, a rotational angle of 0.53 radians yields a 25% QBER, which corresponds to the error rate bound due to the intercept-resend attack. Finally, we conclude that the BB84 protocol is robust against intercept-resend attacks on collective-rotation noise channels when the rotation angle is varied arbitrarily within particular bounds.

4

Gulshani, P. "A semiclassical, microscopic model for nuclear collective rotation." Canadian Journal of Physics 84, no. 10 (October 1, 2006): 905–23. http://dx.doi.org/10.1139/p06-071.

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In this article, a semiclassical, microscopic model (dubbed SMRM) is derived to describe collective rotation in deformed nuclei. The SMRM is derived by transforming the time-dependent, multiparticle Schrodinger equation to a rotating frame whose axes are chosen to coincide with the principal axes of the expectation value of an arbitrary, second-rank, symmetric, tensor (nuclear shape) operator [Formula: see text]. This transformation circumvents the difficulty associated with the introduction of redundant particle coordinates in the Villars' transformation. The SMRM Schrodinger equation, which resembles the cranking model (CM) equation, is a time-dependent, time-reversal-invariant, nonlinear integro-differential equation. In this equation, the angular velocity is determined by the wave function and deformation–rotation shear operators, and this introduces the nonlinearity in the equation. A variational method is proposed and justified to obtain: a stationary solution of the SMRM Schrodinger equation in the Rayleigh–Ritz Hartree–Fock particle–hole formalism, the rotational energy increment, and the associated moment of inertia. When exchange interaction terms are neglected or a separable interaction is used, the SMRM moment of inertia is shown to reduce to that given by the CM provided that a certain relationship exists between the moment of inertia and the expectation value of [Formula: see text]. However, the SMRM and CM wave functions are not the same (SMRM preserves and CM violates time-reversal invariance) implying that the calculated values of other parameters, including the moment of inertia at higher values of the angular momentum, may not be the same in the two models. In any case, the SMRM derives the CM moment of inertia from a microscopic, time-reversal invariant, nonlinear theory.PACS Nos.: 21.60.Ev, 21.60.Fw, 21.60.Jz

5

YU, K. W., G. Q. GU, J. P. HUANG, and J. J. XIAO. "DYNAMIC ELECTRORHEOLOGICAL EFFECTS OF ROTATING PARTICLES: A BRIEF REVIEW." International Journal of Modern Physics B 19, no. 07n09 (April 10, 2005): 1163–69. http://dx.doi.org/10.1142/s0217979205030013.

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Particle rotation leads to a steady-state which is different from the equilibrium state in the absence of rotational motion. The change of the polarization of the particle due to the rotational motion is called the dynamic electrorheological effect (DER). There are three cases to be considered: rotating particles in a dc field, particle rotation due to a rotating field and spontaneous rotation of particle in dc field (Quincke rotation). In the DER of rotating particles, the particle rotational motion generally reduces the interparticle force between the particles. The effect becomes pronounced when the frequency is on the order of the relaxation rate of the surface charges. In the electrorotation of particles, the mutual interaction between approaching particles will change the electrorotation spectrum significantly. The electrorotation spectrum depends strongly on the medium conductivity as well as the conductivity contrast between the particle and the medium. In the collective behaviors of Quincke rotors, the mutual interactions between the individual rotors lead to the assembly of chain-like structures which make an angle with the applied field. This has an implication of a new class of material.

6

Endry, Endry, Muhammad Torik, and Bitoh Purnomo. "Pemanfaatan Sawah Warisan Secara Bergilir Menurut Hukum Islam dan Hukum Adat." Muqaranah 7, no. 2 (December 26, 2023): 139–48. http://dx.doi.org/10.19109/muqaranah.v7i2.19581.

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The use of inherited rice fields in rotation is in accordance with customary inheritance law and article 189 KHI, namely using collective principles. This is not in accordance with the individual principle in Islamic inheritance law. One reason is that in the collective system there is a delay in the distribution of inherited assets. This has the potential to cause conflict. The formulation of the problem in this research is how to implement the use of heritage rice fields in rotation among the Mayapati Village community. The aim of the research is to examine through Islamic law and customary law the rotational use of inherited rice fields in the Mayapati Village community. The type of research is field research with data collection through interviews, observation and documentation. This research is also normative legal research with a qualitative approach, namely data obtained through library materials such as books, documents or statutory regulations related to the problems that occur. Descriptive in nature, that is, the problem is formulated according to the facts that occurred. According to customary law, inherited rice fields are used in rotation according to a collective system. According to the view of Islamic law, inheritance should be divided based on the parts regulated in the text. Referring to the Compilation of Islamic Law, the rotational use of inherited rice fields which is in accordance with Islamic Law is only inherited collectively, in accordance with property rights in Islamic law, namely ownership for the benefit only or haqqul intifa', while the rotational use of rice fields is not in accordance with work regulations. with muzara'ah.

7

Terasaki, J., T. Marumori, and F. Sakata. "Microscopic Description of Nuclear Collective Rotation by Means of the Self-Consistent Collective Coordinate Method: Occurrence Mechanism of Collective Rotation." Progress of Theoretical Physics 85, no. 6 (June 1, 1991): 1235–70. http://dx.doi.org/10.1143/ptp.85.1235.

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8

Kinouchi, S. i., T. Kammuri, and T. Kishimoto. "Nuclear Collective Rotation in the SU3 Model. I: Semiclassical Rotation." Progress of Theoretical Physics 81, no. 1 (January 1, 1989): 117–39. http://dx.doi.org/10.1143/ptp.81.117.

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9

Steinhardt, T., J. Eberth, and I. Ragnarsson. "Stable collective triaxial rotation in 77Kr." European Physical Journal A 33, no. 4 (September 2007): 303–6. http://dx.doi.org/10.1140/epja/i2006-10456-2.

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10

Caprio, M. A., P. Maris, J. P. Vary, and R. Smith. "Collective rotation from ab initio theory." International Journal of Modern Physics E 24, no. 09 (September 2015): 1541002. http://dx.doi.org/10.1142/s0218301315410025.

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Through ab initio approaches in nuclear theory, we may now seek to quantitatively understand the wealth of nuclear collective phenomena starting from the underlying internucleon interactions. No-core configuration interaction (NCCI) calculations for p-shell nuclei give rise to rotational bands, as evidenced by rotational patterns for excitation energies, electromagnetic moments and electromagnetic transitions. In this review, NCCI calculations of 7–9 Be are used to illustrate and explore ab initio rotational structure, and the resulting predictions for rotational band properties are compared with experiment. We highlight the robustness of ab initio rotational predictions across different choices for the internucleon interaction.

11

Seligman, T. H., J. J. M. Verbaarschot, and H. A. Weidenmüller. "Chaotic motion and collective nuclear rotation." Physics Letters B 167, no. 4 (February 1986): 365–69. http://dx.doi.org/10.1016/0370-2693(86)91281-5.

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12

Fabiano, Nicola. "Collective phenomena." Vojnotehnicki glasnik 71, no. 4 (2023): 1115–26. http://dx.doi.org/10.5937/vojtehg71-42540.

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Introduction/purpose: Quantum field theory techniques are able to describe precisely, inter alia, collective phenomena of statistical and solid state physics. Method: The path integral method with a Wick rotation shows its complete analogy with the partition function of statistical mechanics. Results: The Landau-Ginzburg phenomenology successfully describes collective phenomena such as spontaneous magnetization and super-conductivity. Conclusions: Symmetry breaking phenomena could give macroscopic results.

13

Peng, J. "Interplay between antimagnetic and collective rotation in 58Fe." International Journal of Modern Physics E 26, no. 09 (September 2017): 1750051. http://dx.doi.org/10.1142/s0218301317500513.

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The self-consistent tilted axis cranking covariant density functional theory based on the point-coupling interaction PC-PK1 is applied to investigate the possible existence of antimagnetic rotation in the nucleus [Formula: see text]Fe. The observed data for Bands 3 and 4 are reproduced well with two assigned configurations. It is found that the interplay between antimagnetic rotation and collective motion plays an essential role in both bands due to the presence of considerable deformation. In particular, for Band 4, collective rotation is dominant in the competition with antimagnetic rotation. Moreover, it is shown that the behavior of the ratios between the dynamic moments of inertia and the [Formula: see text] values reflects the interplay between antimagnetic and collective rotation.

14

Fischer, S. M., D. P. Balamuth, P. A. Hausladen, C. J. Lister, M. P. Carpenter, D. Seweryniak, and J. Schwartz. "Evidence for Collective Oblate Rotation inN=Z68Se." Physical Review Letters 84, no. 18 (May 1, 2000): 4064–67. http://dx.doi.org/10.1103/physrevlett.84.4064.

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15

KAWAI, RYOICHI, NATHAN WILLIAMS, and LAUREN RAST. "COLLECTIVE ROTATION IN COUPLED PARAMETRICALLY-DRIVEN PENDULUMS." International Journal of Modern Physics C 13, no. 09 (November 2002): 1201–10. http://dx.doi.org/10.1142/s0129183102004066.

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Collective instabilities in globally coupled pendulums driven by parametric modulation is numerically investigated. Parametric instabilities are suppressed by mutual synchronization despite individual pendulums are under a parametric resonance condition. On the other hand, continuous collective rotation can be parametrically excited with certain modulation frequencies outside the regular parametric resonance.

16

Ikeda, Akitsu, and Takafumi Shimano. "Scissors mode as generated by collective rotation." Nuclear Physics A 557 (May 1993): 573–82. http://dx.doi.org/10.1016/0375-9474(93)90570-n.

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17

Frauendorf, S., C. M. Petrache, R. Schwengner, and K. Wimmer. "Decoherence of collective motion in warm nuclei." EPJ Web of Conferences 223 (2019): 01017. http://dx.doi.org/10.1051/epjconf/201922301017.

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Collective states in cold nuclei are represented by a wave function that assigns coherent phases to the participating nucleons. The degree of coherence decreases with excitation energy above the yrast line because of coupling to the increasingly dense background of quasiparticle excitations. The consequences of decoherence are discussed, starting with the well studied case of rotational damping. In addition to superdeformed bands, a highly excited oblate band is presented as a new example of screening from rotational damping. Suppression of pair correlation leads to incoherent thermal M1 radiation, which appears as an exponential spike (LEMAR) at zero energy in the γ strength function of spherical nuclei. In deformed nuclei a Scissors Resonance appears and LEMAR changes to damped magnetic rotation, which is interpreted as partial restoration of coherence.

18

Gulshani, P. "A microscopic derivation of nuclear collective rotation–vibration model, axially symmetric case." Canadian Journal of Physics 94, no. 1 (January 2016): 79–88. http://dx.doi.org/10.1139/cjp-2015-0371.

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We derive a microscopic version of the successful phenomenological hydrodynamic model of Bohr–Davydov–Faessler–Greiner for collective rotation–vibration motion of an axially symmetric deformed nucleus. The derivation is not limited to small oscillation amplitudes. The nuclear Schrödinger equation is canonically transformed to collective coordinates, and then linearized using a constrained variational method. The associated constraints are imposed on the wavefunction rather than on the particle coordinates. This approach yields three self-consistent, time-reversal invariant, cranking-type Schrödinger equations for the rotation–vibration and intrinsic motions, and a self-consistency equation. For harmonic oscillator mean-field potentials, these equations are solved in closed forms and applied to the ground-state rotational bands in some axially symmetric nuclei. The results are compared with those of other models and related measured data.

19

Cambui, Dorílson S. "Collective behavior states in animal groups." Modern Physics Letters B 31, no. 06 (February 28, 2017): 1750054. http://dx.doi.org/10.1142/s0217984917500543.

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In this work, we study some states of collective behavior observed in groups of animals. For this end we consider an agent-based model with biologically motivated behavioral rules where the speed is treated as an independent stochastic variable, and the motion direction is adjusted in accord with alignment and attractive interactions. Four types of collective behavior have been observed: disordered motion, collective rotation, coherent collective motion, and formation flight. We investigate the case when transitions between collective states depend on both the speed and the attraction between individuals. Our results show that, to any size of the attraction, small speeds are associated to the coherent collective motion, while collective rotation is more and more pronounced for high speed since the attraction radius is large enough.

20

Ma, Yu-Gang, Wen-Qing Shen, and Zhi-Yuan Zhu. "Disappearance of Collective Rotation in Heavy Ion Collisions." Communications in Theoretical Physics 25, no. 2 (March 15, 1996): 195–202. http://dx.doi.org/10.1088/0253-6102/25/2/195.

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21

Junge, Marius, Peter T. Kim, and David W. Kribs. "Universal collective rotation channels and quantum error correction." Journal of Mathematical Physics 46, no. 2 (February 2005): 022102. http://dx.doi.org/10.1063/1.1824213.

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22

Kinouchi, S. i., T. Kammuri, and T. Kishimoto. "Nuclear Collective Rotation in the SU3 Model. II: Quantal Rotation for a Triaxial Configuration." Progress of Theoretical Physics 83, no. 2 (February 1, 1990): 216–38. http://dx.doi.org/10.1143/ptp.83.216.

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23

Paul, E. S., D. B. Fossan, Y. Liang, R. Ma, N. Xu, R. Wadsworth, I. Jenkins, and P. J. Nolan. "High-spin states inCe136: Systematics of collective oblate rotation." Physical Review C 41, no. 4 (April 1, 1990): 1576–83. http://dx.doi.org/10.1103/physrevc.41.1576.

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24

Tanaka, Takeshi, Fumihiko Sakata, Toshio Marumori, and Kazuo Iwasawa. "Band termination of collective rotation: Dynamical mechanism of occurrence." Physical Review C 56, no. 1 (July 1, 1997): 180–90. http://dx.doi.org/10.1103/physrevc.56.180.

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25

Shelton, David P. "Collective molecular rotation in water and other simple liquids." Chemical Physics Letters 325, no. 5-6 (August 2000): 513–16. http://dx.doi.org/10.1016/s0009-2614(00)00734-x.

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26

Cox, Kevin C., Matthew A. Norcia, Joshua M. Weiner, Justin G. Bohnet, and James K. Thompson. "Reducing collective quantum state rotation errors with reversible dephasing." Applied Physics Letters 105, no. 26 (December 29, 2014): 261102. http://dx.doi.org/10.1063/1.4905148.

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27

Wu, Linsen, and Yuhua Chen. "Three-Stage Quantum Cryptography Protocol under Collective-Rotation Noise." Entropy 17, no. 5 (May 7, 2015): 2919–31. http://dx.doi.org/10.3390/e17052919.

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28

Martynov, Sergey I., and Leonilla Yu Tkach. "Hydrodynamic mechanism for dynamical structure formation of a system of rotating particles." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 26, no. 2 (June 30, 2024): 175–94. http://dx.doi.org/10.15507/2079-6900.26.202402.175-194.

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Based on the hydrodynamic mechanism, which takes into account the interaction of all particles, a numerical simulation of the formation of a dynamical structure in a viscous fluid was carried out. This structure is a result of the collective dynamics of rotating particles in the fluid. It is supposed that the particles have a magnetic moment and are driven into rotation by an external variable uniform magnetic field. The results of numerical modeling of collective dynamics are presented for three initial structures that can be formed by interacting dipole particles in the absence of an external magnetic field. Such equilibrium structures are a straight chain, a closed chain, and a periodic structure in the form of a flat system of particle chains. The rotation of particles sets the surrounding fluid in motion, whose flow creates hydrodynamic forces and moments that move the particles. The collective dynamics of a system of rotating particles leads to the formation of a new dynamical structure from the original one, and this new structure has its own characteristic features for each case considered. A qualitative comparison of the results of the dynamics for a particles’ system set in motion due to the action of an external moment or an external force is carried out. The proposed hydrodynamic mechanism for the formation of a dynamical structure as a result of the collective dynamics of a rotating particles’ system can be used to control structure formation in a liquid-particle system.

29

Han, Koohee, Gašper Kokot, Oleh Tovkach, Andreas Glatz, Igor S. Aranson, and Alexey Snezhko. "Emergence of self-organized multivortex states in flocks of active rollers." Proceedings of the National Academy of Sciences 117, no. 18 (April 16, 2020): 9706–11. http://dx.doi.org/10.1073/pnas.2000061117.

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Active matter, both synthetic and biological, demonstrates complex spatiotemporal self-organization and the emergence of collective behavior. A coherent rotational motion, the vortex phase, is of great interest because of its ability to orchestrate well-organized motion of self-propelled particles over large distances. However, its generation without geometrical confinement has been a challenge. Here, we show by experiments and computational modeling that concentrated magnetic rollers self-organize into multivortex states in an unconfined environment. We find that the neighboring vortices more likely occur with the opposite sense of rotation. Our studies provide insights into the mechanism for the emergence of coherent collective motion on the macroscale from the coupling between microscale rotation and translation of individual active elements. These results may stimulate design strategies for self-assembled dynamic materials and microrobotics.

30

KUSAKA, K., and H. TOKI. "BAG INDEPENDENT RELATION FOR SPIN-ISOSPIN PROJECTED BARYONS IN THE CHIRAL BAG PLUS SKYRMION HYBRID MODEL." International Journal of Modern Physics A 05, no. 06 (March 20, 1990): 1135–42. http://dx.doi.org/10.1142/s0217751x90000520.

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We propose an approximate spin-isospin projection method with collective coordinates. We perform the collective rotation in the coordinate space instead of the isospin space and construct a local Lorentz boosted quark field as an approximated solution of the collective rotation. In this projection scheme, we find that the moment of inertia of the quark is expressed by one body operator as the baryon number and the Casimir energy. After the quantization of the rotation, we find for the chiral bag model also the bag independent relations between the magnetic moments and the nucleon-delta mass difference, which have been derived for the Skyrmion.

31

Hama, T., T. Aoki, K. Osuga, S. Sugiyama, and D. Iwasaki. "Nitrogen and phosphorus effluent loads from a paddy-field district adopting collective crop rotation." Water Science and Technology 66, no. 5 (September 1, 2012): 1074–80. http://dx.doi.org/10.2166/wst.2012.292.

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Japanese paddy rice systems commonly adopt the rotation of vegetables, wheat and soybeans with paddy rice. Crop rotation may, however, increase the nutrient load in effluent discharged from the district because more fertilizer is applied to the rotation crops than is applied to paddy crops. We investigated a paddy-field district subject to collective crop rotation and quantified the annual nutrient load of effluent from the district in three consecutive years. The total annual exports of nitrogen and phosphorus over the investigation period ranged from 30.3 to 40.6 kg N ha–1 and 2.62 to 3.13 kg P ha–1. The results suggest that rotation cropping increases the effluent nutrient load because applied fertilizer is converted to nitrate, and surface runoff is increased due to the absence of shuttering boards at the field outlets.

32

Kinouchi, S. i., T. Kammuri, and T. Kishimoto. "Nuclear Collective Rotation in the SU3 Model. III: Quantal Rotation for an Axially Symmetric Configuration." Progress of Theoretical Physics 83, no. 4 (April 1, 1990): 766–78. http://dx.doi.org/10.1143/ptp.83.766.

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33

Lin, Shao-Zhen, Yue Li, Jing Ji, Bo Li, and Xi-Qiao Feng. "Collective dynamics of coherent motile cells on curved surfaces." Soft Matter 16, no. 12 (2020): 2941–52. http://dx.doi.org/10.1039/c9sm02375e.

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Collective cell crawling on curved surfaces can exhibit diverse dynamic patterns including global rotation, local swirling, spiral crawling, and serpentine crawling, depending on cell–cell interactions and geometric constraints.

34

Ivanyuk, F. A., and S. Yamaji. "The effect of nuclear rotation on the collective transport coefficients." Nuclear Physics A 694, no. 1-2 (November 2001): 295–311. http://dx.doi.org/10.1016/s0375-9474(01)00990-3.

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35

Holbrook, John A., David W. Kribs, Raymond Laflamme, and David Poulin. "Noiseless Subsystems for Collective Rotation Channels in Quantum Information Theory." Integral Equations and Operator Theory 51, no. 2 (February 2005): 215–34. http://dx.doi.org/10.1007/s00020-004-1345-1.

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36

Li, Chi-Kwong, Mikio Nakahara, Yiu-Tung Poon, and Nung-Sing Sze. "Maximal noiseless code rates for collective rotation channels on qudits." Quantum Information Processing 14, no. 11 (September 3, 2015): 4039–55. http://dx.doi.org/10.1007/s11128-015-1101-2.

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37

Jiao, ChangFeng, Yue Shi, FuRong Xu, Yang Sun, and P. M. Walker. "Competition between collective oblate rotation and non-collective prolate K isomerism in neutron-rich tungsten isotopes." Science China Physics, Mechanics and Astronomy 55, no. 9 (July 9, 2012): 1613–17. http://dx.doi.org/10.1007/s11433-012-4824-4.

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38

Une, T. "Dynamical Properties of the GCM Rotational Hamiltonian: Dynamics of the Transition from Collective to Noncollective Rotation." Progress of Theoretical Physics 90, no. 6 (December 1, 1993): 1269–86. http://dx.doi.org/10.1143/ptp/90.6.1269.

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39

Simpson, J., M. A. Riley, A. N. James, A. R. Mokhtar, H. W. Cranmer-Gordon, P. D. Forsyth, A. J. Kirwan, D. Howe, J. D. Morrison та J. F. Sharpey-Schafer. "Spin 50ℏ in160Er and the boundary between collective and non-collective rotation in the light Er isotopes". Journal of Physics G: Nuclear Physics 13, № 10 (жовтень 1987): L235—L240. http://dx.doi.org/10.1088/0305-4616/13/10/003.

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40

Kozlowski, Ryan, Hu Zheng, Karen E. Daniels, and Joshua E. S. Socolar. "Particle dynamics in two-dimensional point-loaded granular media composed of circular or pentagonal grains." EPJ Web of Conferences 249 (2021): 06010. http://dx.doi.org/10.1051/epjconf/202124906010.

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Granular packings exhibit significant changes in rheological and structural properties when the rotational symmetry of spherical or circular particles is broken. Here, we report on experiments exploring the differences in dynamics of a grain-scale intruder driven through a packing of either disks or pentagons, where the presence of edges and vertices on grains introduces the possibility of rotational constraints at edge-edge contacts. We observe that the intruder’s stick-slip dynamics are comparable between the disk packing near the frictional jamming fraction and the pentagonal packing at significantly lower packing fractions. We connect this stark contrast in packing fraction with the average speed and rotation fields of grains during slip events, finding that rotation of pentagons is limited and the flow of pentagonal grains is largely confined in front of the intruder, whereas disks rotate more on average and circulate around the intruder to fill the open channel behind it. Our results indicate that grain-scale rotation constraints significantly modify collective motion of grains on mesoscopic scales and correspondingly enhance resistance to penetration of a local intruder.

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Li Jian, Chen Yan-Hua, Pan Ze-Shi, Sun Feng-Qi, Li Na, and Li Lei-Lei. "Security analysis of BB84 protocol in the collective-rotation noise channel." Acta Physica Sinica 65, no. 3 (2016): 030302. http://dx.doi.org/10.7498/aps.65.030302.

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42

Szulerecka, A., A. Dobrowolski, and A. Góźdź. "Generalized projection operators for intrinsic rotation groups and nuclear collective models." Physica Scripta 89, no. 5 (April 29, 2014): 054033. http://dx.doi.org/10.1088/0031-8949/89/5/054033.

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43

Li, Leilei, Hengji Li, Chaoyang Li, Xiubo Chen, Yan Chang, Yuguang Yang, and Jian Li. "The security analysis of E91 protocol in collective-rotation noise channel." International Journal of Distributed Sensor Networks 14, no. 5 (May 2018): 155014771877819. http://dx.doi.org/10.1177/1550147718778192.

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The bit error in quantum communication is mainly caused by eavesdropping and noise. However, most quantum communication protocols only take eavesdropping into consideration and ignore the result of noise, making the inaccuracy situations in detecting the eavesdropper. To analyze the security of the quantum E91 protocol presented by Ekert in collective-rotation noise channel, an excellent model of noise analysis is proposed. The increment of the qubits error rate (ber) is used to detect eavesdropping. In our analysis, eavesdropper (Eve) can maximally get about 50% of the key from the communication when the noise level approximates to 0.5. The results show that in the collective-rotation noise environment, E91 protocol is secure and the raw key is available just as we have knew and proved. We also presented a new idea in analyzing the protocol security in noise channel.

44

Janzen, V. P., D. R. LaFosse, H. Schnare, D. B. Fossan, A. Galindo-Uribarri, J. R. Hughes, S. M. Mullins, et al. "New features of collective nuclear rotation at very high frequency inSb109." Physical Review Letters 72, no. 8 (February 21, 1994): 1160–63. http://dx.doi.org/10.1103/physrevlett.72.1160.

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45

GUPTA, J. B. "NEW PERSPECTIVE IN ROTATION–VIBRATION INTERACTION." International Journal of Modern Physics E 22, no. 05 (May 2013): 1350023. http://dx.doi.org/10.1142/s0218301313500237.

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A linear relation for the level energy ratios in the ground band of even–even nuclei, based on the rotation–vibration expression, is derived and its application on a universal scale, including the O(6), E(5) and X(5) symmetries, is illustrated. A microscopic view of this relation and of the collective model is given. Also, an approximate relationship with single term power index formula E = aIb is demonstrated.

46

Jiang, Yin, Zi-Wei Lin, Xu-Guang Huang, and Jinfeng Liao. "Strongly interacting matter under rotation." EPJ Web of Conferences 171 (2018): 07004. http://dx.doi.org/10.1051/epjconf/201817107004.

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The vorticity-driven effects are systematically studied in various aspects. With AMPT the distributions of vorticity has been investigated in heavy ion collisions with different collision parameters. Taking the rotational polarization effect into account a generic condensate suppression mechanism is discussed and quantitatively studied with NJL model. And in chiral restored phase the chiral vortical effects would generate a new collective mode, i.e. the chiral vortical wave. Using the rotating quark-gluon plasma in heavy ion collisions as a concrete example, we show the formation of induced flavor quadrupole in QGP and estimate the elliptic flow splitting effect for Λ baryons.

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Clark, R. M., and A. O. Macchiavelli. "The Shears Mechanism in Nuclei." Annual Review of Nuclear and Particle Science 50, no. 1 (December 2000): 1–36. http://dx.doi.org/10.1146/annurev.nucl.50.1.1.

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▪ Abstract This chapter reviews the experimental properties of shears bands. The most puzzling characteristic of these structures is the emergence of rotational-like behavior while the nucleus retains a small quadrupole deformation. Regardless of the details of particular theoretical models, it can be shown that the most important degree of freedom in describing the shears mechanism is the shears angle. It is then possible to develop a semiclassical description of the shears mechanism, in which the nature (multipole order) of the interaction between valence protons and neutrons constituting the shears “blades” may be derived and the dynamics of the system described. We discuss the competition between the shears mechanism and collective rotation and mention the connection to “magnetic rotation.” Directions for future theoretical and experimental efforts are suggested.

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Shelton, David P. "Erratum: “Collective molecular rotation in D2O” [J. Chem. Phys. 117, 9374 (2002)]." Journal of Chemical Physics 121, no. 7 (August 15, 2004): 3349. http://dx.doi.org/10.1063/1.1774987.

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49

Casu, Massimo, and L. M. Sehgal. "Baryon magnetic moments and proton spin: A model with collective quark rotation." Physical Review D 55, no. 5 (March 1, 1997): 2644–49. http://dx.doi.org/10.1103/physrevd.55.2644.

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50

DONG, HAI-KUAN, LI DONG, XIAO-MING XIU, and YA-JUN GAO. "A DETERMINISTIC SECURE QUANTUM COMMUNICATION PROTOCOL THROUGH A COLLECTIVE ROTATION NOISE CHANNEL." International Journal of Quantum Information 08, no. 08 (December 2010): 1389–95. http://dx.doi.org/10.1142/s0219749910006460.

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A deterministic secure quantum communication protocol against collective rotation noise is proposed. If the security check is passed, the receiver can obtain a one-bit secret message with the aid of a one-bit classical message for two photons. It does not need a photon storing technique and only single photon measurement is necessary.