Journal articles on the topic 'Equipartition'

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1

Komar, Arthur. "Relativistic equipartition." General Relativity and Gravitation 28, no. 4 (April 1996): 379–85. http://dx.doi.org/10.1007/bf02105082.

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2

Berdichevsky, V. "Generalized equipartition law." International Journal of Engineering Science 31, no. 4 (April 1993): 673–77. http://dx.doi.org/10.1016/0020-7225(93)90057-2.

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3

Seta, Amit, and Rainer Beck. "Revisiting the Equipartition Assumption in Star-Forming Galaxies." Galaxies 7, no. 2 (April 8, 2019): 45. http://dx.doi.org/10.3390/galaxies7020045.

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Energy equipartition between cosmic rays and magnetic fields is often assumed to infer magnetic field properties from the synchrotron observations of star-forming galaxies. However, there is no compelling physical reason to expect the same. We aim to explore the validity of the energy equipartition assumption. After describing popular arguments in favour of the assumption, we first discuss observational results that support it at large scales and how certain observations show significant deviations from equipartition at scales smaller than ≈ 1 kpc , probably related to the propagation length of the cosmic rays. Then, we test the energy equipartition assumption using test-particle and magnetohydrodynamic (MHD) simulations. From the results of the simulations, we find that the energy equipartition assumption is not valid at scales smaller than the driving scale of the ISM turbulence (≈ 100 pc in spiral galaxies), which can be regarded as the lower limit for the scale beyond which equipartition is valid. We suggest that one must be aware of the dynamical scales in the system before assuming energy equipartition to extract magnetic field information from synchrotron observations. Finally, we present ideas for future observations and simulations to investigate in more detail under which conditions the equipartition assumption is valid or not.
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4

Bormashenko, Edward, and Oleg Gendelman. "On the applicability of the equipartition theorem." Thermal Science 14, no. 3 (2010): 855–58. http://dx.doi.org/10.2298/tsci1003855b.

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Generalization of the equipartition theorem is presented for a broad range of potentials U(x) with quadratic minimum. It is shown, that the equipartition of energy in its standard form appears at the low temperatures limit. For potentials demonstrating the quadratic behavior for large displacements from the equilibrium the equipartition holds also in the high temperature limit. The temperature range of applicability of the equipartition theorem for the potential U = ax2 + bx4 was established.
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5

Scott, Paul R. "Equipartition of convex bodies." Bulletin of the Australian Mathematical Society 42, no. 1 (August 1990): 141–44. http://dx.doi.org/10.1017/s0004972700028240.

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6

Duric, Nebojsa. "Equipartition: Fact or Fiction?" Symposium - International Astronomical Union 140 (1990): 235–36. http://dx.doi.org/10.1017/s0074180900190084.

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The use of equipartition calculations in estimating magnetic field strengths and energetics of extragalactic radio sources is widespread and well known. Since it is one of the few ways in which to calculate radio source parameters, it is important to determine how reasonable the approach generally is. Since this assumption is approximately a minimum energy criterion one expects that deviations from equipartition are limited at some level by independently determined constraints on the total energy. In this regard we have analyzed radio images of nearby spiral galaxies in order to determine equipartition magnetic fields and relativistic gas energies and to explore their possible nonequipartition configurations.
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7

Bogoyavlenskij, Oleg I. "Unsteady equipartition MHD solutions." Journal of Mathematical Physics 45, no. 1 (2004): 381. http://dx.doi.org/10.1063/1.1629137.

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8

Mello, Pier A., and Rosalío F. Rodríguez. "The equipartition theorem revisited." American Journal of Physics 78, no. 8 (August 2010): 820–27. http://dx.doi.org/10.1119/1.3386255.

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9

Panagiotakis, Costas, Konstantin Athanassopoulos, and Georgios Tziritas. "The equipartition of curves." Computational Geometry 42, no. 6-7 (August 2009): 677–89. http://dx.doi.org/10.1016/j.comgeo.2009.01.003.

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10

Lewis, J. T., C. E. Pfister, R. P. Russell, and W. G. Sullivan. "Reconstruction sequences and equipartition measures: an examination of the asymptotic equipartition property." IEEE Transactions on Information Theory 43, no. 6 (1997): 1935–47. http://dx.doi.org/10.1109/18.641557.

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11

Urošević, Dejan, Marko Z. Pavlović, Bojan Arbutina, and Aleksandra Dobardžić. "The modified equipartition calculation for supernova remnants with the spectral index α = 0.5." Proceedings of the International Astronomical Union 10, H16 (August 2012): 398. http://dx.doi.org/10.1017/s1743921314011673.

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AbstractRecently, the modified equipartition calculation for supernova remnants (SNRs) has been derived by Arbutina et al. (2012). Their formulae can be used for SNRs with the spectral indices between 0.5 < α < 1. Here, by using approximately the same analytical method, we derive the equipartition formulae useful for SNRs with spectral index α=0.5. These formulae represent next step upgrade of Arbutina et al. (2012) derivation, because among 30 Galactic SNRs with available observational parameters for the equipartition calculation, 16 have spectral index α = 0.5. For these 16 Galactic SNRs we calculated the magnetic field strengths which are approximately 40 per cent higher than those calculated by using Pacholczyk (1970) equipartition and similar to those calculated by using Beck & Krause (2005) calculation.
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12

Landsberg, P. T. "Equipartition for a relativistic gas." American Journal of Physics 60, no. 6 (June 1992): 561. http://dx.doi.org/10.1119/1.17124.

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13

Ponomarev, A. V., S. Denisov, P. Hänggi, and J. Gemmer. "Quantum thermal equilibration from equipartition." EPL (Europhysics Letters) 98, no. 4 (May 1, 2012): 40011. http://dx.doi.org/10.1209/0295-5075/98/40011.

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14

Inagaki, S., and W. C. Saslaw. "Equipartition in multicomponent gravitational systems." Astrophysical Journal 292 (May 1985): 339. http://dx.doi.org/10.1086/163164.

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15

Dassios, George, and R. J. Lucas. "Equipartition of energy in magnetohydrodynamics." Physics of Fluids 30, no. 12 (1987): 3845. http://dx.doi.org/10.1063/1.866426.

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16

Picard, Rainer, and Stefan Seidler. "On asymptotic equipartition of energy." Journal of Differential Equations 68, no. 2 (June 1987): 198–209. http://dx.doi.org/10.1016/0022-0396(87)90191-4.

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17

Schulman, Leonard J. "An equipartition of planar sets." Discrete & Computational Geometry 9, no. 3 (March 1993): 257–66. http://dx.doi.org/10.1007/bf02189322.

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18

Dallacasa, D., and M. Orienti. "Does equipartition hold in HFPs?" Astronomische Nachrichten 330, no. 2-3 (February 2009): 173–76. http://dx.doi.org/10.1002/asna.200811149.

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19

Magnano, Guido, and Beniamino Valsesia. "On the generalised equipartition law." Annals of Physics 427 (April 2021): 168416. http://dx.doi.org/10.1016/j.aop.2021.168416.

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20

Inagaki, Shogo. "Dynamical Evolution of Multi-Component Clusters." Symposium - International Astronomical Union 113 (1985): 189–205. http://dx.doi.org/10.1017/s0074180900147382.

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Presence of stars with disparate masses causes great differences in the dynamical evolution of star clusters from the evolution of single component clusters. One remarkable effect is acceleration of the evolution. Another effect is destabilization or stabilization. In two-component clusters equipartition at the cluster centre is nearly achieved if Spitzer's (1969) condition is satisfied. In multi-component clusters equipartition at the cluster centre is achieved if either the range of stellar mass is very narrow or the mass spectrum is very steep. Global equipartition is never achieved. Post-collapse evolution of multi-component clusters is discussed briefly and some remained problems are presented.
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21

Pedron, Isabel Tamara, and Carlos H. Coimbra-Araújo. "Brownian motion of black holes in stellar systems with non-Maxwellian distribution of the field stars." Proceedings of the International Astronomical Union 2, S238 (August 2006): 427–28. http://dx.doi.org/10.1017/s1743921307005789.

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AbstractA massive black hole at the center of a dense stellar system, such as a globular cluster or a galactic nucleus, is subject to a random walk due gravitational encounters with nearby stars. It behaves as a Brownian particle, since it is much more massive than the surrounding stars and moves much more slowly than they do. If the distribution function for the stellar velocities is Maxwellian, there is a exact equipartition of kinetic energy between the black hole and the stars in the stationary state. However, if the distribution function deviates from a Maxwellian form, the strict equipartition cannot be achieved.The deviation from equipartition is quantified in this work by applying the Tsallis q-distribution for the stellar velocities in a q-isothermal stellar system and in a generalized King model.
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22

Conti, Francesco, Federico Malucelli, Sara Nicoloso, and Bruno Simeone. "On a 2-dimensional equipartition problem." European Journal of Operational Research 113, no. 1 (February 1999): 215–31. http://dx.doi.org/10.1016/s0377-2217(97)00429-3.

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23

Lima, J. A. S., and A. R. Plastino. "On the classical energy equipartition theorem." Brazilian Journal of Physics 30, no. 1 (March 2000): 176–80. http://dx.doi.org/10.1590/s0103-97332000000100019.

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24

Liverani, Marco, Aurora Morgana, Bruno Simeone, and Giovanni Storchi. "Path equipartition in the Chebyshev norm." European Journal of Operational Research 123, no. 2 (June 2000): 428–35. http://dx.doi.org/10.1016/s0377-2217(99)00267-2.

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25

Leff, Harvey S. "Thermodynamics of Crawford’s energy equipartition journeys." American Journal of Physics 62, no. 2 (February 1994): 120–29. http://dx.doi.org/10.1119/1.17628.

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26

Rey, Rossend. "Generalized equipartition theorem and confining walls." American Journal of Physics 83, no. 6 (June 2015): 539–44. http://dx.doi.org/10.1119/1.4903763.

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27

Weaver, Richard L. "Equipartition and retrieval of Green’s function." Journal of the Acoustical Society of America 128, no. 4 (October 2010): 2300. http://dx.doi.org/10.1121/1.3508083.

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28

Archontis, V., S. B. F. Dorch, and Å. Nordlund. "Nonlinear MHD dynamo operating at equipartition." Astronomy & Astrophysics 472, no. 3 (July 9, 2007): 715–26. http://dx.doi.org/10.1051/0004-6361:20065087.

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29

Martı́nez, S., F. Pennini, A. Plastino, and C. Tessone. "On the equipartition and virial theorems." Physica A: Statistical Mechanics and its Applications 305, no. 1-2 (March 2002): 48–51. http://dx.doi.org/10.1016/s0378-4371(01)00638-0.

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30

Tomamichel, Marco, Roger Colbeck, and Renato Renner. "A Fully Quantum Asymptotic Equipartition Property." IEEE Transactions on Information Theory 55, no. 12 (December 2009): 5840–47. http://dx.doi.org/10.1109/tit.2009.2032797.

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31

Roberts, Paul H. "Planetary dynamos: from equipartition to asymptopia." Proceedings of the International Astronomical Union 4, S259 (November 2008): 259–70. http://dx.doi.org/10.1017/s1743921309030609.

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AbstractThis review focuses on three topics relevant to naturally-occurring dynamos. The first considers how a common belief, that states of equipartition of magnetic and kinetic energy are preferred in nonrotating systems, is modified when Coriolis forces are influential, as in the Earth's core. The second reviews current difficulties faced by planetary and stellar dynamo theories, particularly in representing the sub-grid scales. The third discusses recent attempts to extract scaling laws from numerical integrations of the Boussinesq dynamo equations.
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32

Hennino, R., N. Trégourès, N. M. Shapiro, L. Margerin, M. Campillo, B. A. van Tiggelen, and R. L. Weaver. "Observation of Equipartition of Seismic Waves." Physical Review Letters 86, no. 15 (April 9, 2001): 3447–50. http://dx.doi.org/10.1103/physrevlett.86.3447.

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33

Perton, Mathieu, and Francisco José Sánchez-Sesma. "Green's function calculation from equipartition theorem." Journal of the Acoustical Society of America 140, no. 2 (August 2016): 1309–18. http://dx.doi.org/10.1121/1.4961208.

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34

Trenti, Michele, and Roeland van der Marel. "No energy equipartition in globular clusters." Monthly Notices of the Royal Astronomical Society 435, no. 4 (September 5, 2013): 3272–82. http://dx.doi.org/10.1093/mnras/stt1521.

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35

Blagojevic, Pavle, Aleksandra Dimitrijevic-Blagojevic, and Marko Milosevic. "Equipartition of sphere measures by hyperplanes." Filomat 20, no. 1 (2006): 1–11. http://dx.doi.org/10.2298/fil0601001b.

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36

Yazdi, Yasaman K., and Niayesh Afshordi. "Accretion in Radiative Equipartition (AiRE) Disks." Astrophysical Journal 843, no. 1 (June 27, 2017): 22. http://dx.doi.org/10.3847/1538-4357/aa73d4.

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37

Arbutina, B., D. Urošević, M. M. Andjelić, M. Z. Pavlović, and B. Vukotić. "MODIFIED EQUIPARTITION CALCULATION FOR SUPERNOVA REMNANTS." Astrophysical Journal 746, no. 1 (January 25, 2012): 79. http://dx.doi.org/10.1088/0004-637x/746/1/79.

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38

De Vos, Alexis, and Bart Desoete. "Equipartition Principles in Finite-Time Thermodynamics." Journal of Non-Equilibrium Thermodynamics 25, no. 1 (January 23, 2000): 1–13. http://dx.doi.org/10.1515/jnetdy.2000.001.

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39

Nycander, J., and V. V. Yankov. "Turbulent equipartition and up-gradient transport." Physica Scripta T63 (January 1, 1996): 174–81. http://dx.doi.org/10.1088/0031-8949/1996/t63/027.

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40

Zdziarski, Andrzej A. "The minimum jet power and equipartition." Monthly Notices of the Royal Astronomical Society 445, no. 2 (October 9, 2014): 1321–30. http://dx.doi.org/10.1093/mnras/stu1835.

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41

Bialas, P., J. Spiechowicz, and J. Łuczka. "Quantum analogue of energy equipartition theorem." Journal of Physics A: Mathematical and Theoretical 52, no. 15 (March 18, 2019): 15LT01. http://dx.doi.org/10.1088/1751-8121/ab03f2.

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42

Orienti, M., and D. Dallacasa. "Are young radio sources in equipartition?" Astronomy & Astrophysics 487, no. 3 (July 1, 2008): 885–94. http://dx.doi.org/10.1051/0004-6361:200809948.

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43

Makeev, V. V. "Equipartition of a continuous mass distribution." Journal of Mathematical Sciences 140, no. 4 (January 2007): 551–57. http://dx.doi.org/10.1007/s10958-007-0437-2.

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44

Schörghofer, Norbert. "Equipartition in a Model of Turbulence." EPJ direct 1, no. 1 (December 2000): 1–5. http://dx.doi.org/10.1007/s10105980b001.

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45

Ramos, E. A. "Equipartition of mass distributions by hyperplanes." Discrete & Computational Geometry 15, no. 2 (February 1996): 147–67. http://dx.doi.org/10.1007/bf02717729.

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46

Weaver, Richard L. "Equipartition and retrieval of Green’s function." Earthquake Science 23, no. 5 (October 2010): 397–402. http://dx.doi.org/10.1007/s11589-010-0738-2.

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47

Lafont, T., N. Totaro, and A. Le Bot. "Review of statistical energy analysis hypotheses in vibroacoustics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2162 (February 8, 2014): 20130515. http://dx.doi.org/10.1098/rspa.2013.0515.

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This paper is a discussion of the equivalence between rain-on-the-roof excitation, diffuse field and modal energy equipartition hypotheses when using statistical energy analysis (SEA). A first example of a simply supported plate is taken to quantify whether a field is diffuse or the energy is equally distributed among modes. It is shown that the field can be diffuse in a certain region of the frequency-damping domain with a single point force but without energy equipartition. For a rain-on-the-roof excitation, the energy becomes equally distributed, and the diffuse field is enforced in all regions. A second example of two plates coupled by a light spring is discussed. It is shown that in addition to previous conclusions, the power exchanged between plates agrees with the statistical prediction of SEA if and only if the field is diffuse. The special case of energy equipartition confirms this observation.
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48

SHU, FU-WEN, and YUNGUI GONG. "EQUIPARTITION OF ENERGY AND THE FIRST LAW OF THERMODYNAMICS AT THE APPARENT HORIZON." International Journal of Modern Physics D 20, no. 04 (April 2011): 553–59. http://dx.doi.org/10.1142/s0218271811018883.

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We apply the holographic principle and the equipartition law of energy to the apparent horizon of a Friedmann–Robertson–Walker universe and derive the Friedmann equation describing the dynamics of the universe. We also show that the equipartition law of energy can be interpreted as the first law of thermodynamics at the apparent horizon. The consistency check shows that our derivation is correct for –1 < w < –(1/3), a value that matches the recent cosmological observations.
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49

Lavenda, B. H. "On the Law of Equipartition for Translational Motion of Excited Molecules in Equilibrium with Thermal Radiation." Zeitschrift für Naturforschung A 44, no. 4 (April 1, 1989): 273–77. http://dx.doi.org/10.1515/zna-1989-0404.

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Abstract Einstein’s radiation theory consists of two parts: the derivation of Planck's radiation law from a physical mechanism of absorption and emission of radiation by excited molecules that are in thermal equilibrium with the radiation field and a demonstration of the validity of the law of equipartition of energy for the translational motion of the molecules. Several incongruities are observed: Einstein could not have legitimately substituted back into his dynamical equilibrium condition, valid at any finite temperature, a limiting condition between the coefficients of absorption and stimulated emission that he obtained in the high temperature limit. His justification of the law of equipartition involves, on the one hand, treating the motion of the excited molecule as brownian motion while, on the other hand, employing special relativity to obtain an expression for the diffusion coefficient. In the former the velocity of the molecule is a stochastic variable while in the latter it is a uniform velocity. Hence equipartition does not hold for the translational motion.
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50

Abreu, Everton M. C., Jorge Ananias Neto, Edésio M. Barboza, Albert C. R. Mendes, and Bráulio B. Soares. "On the equipartition theorem and black holes non-Gaussian entropies." Modern Physics Letters A 35, no. 32 (August 17, 2020): 2050266. http://dx.doi.org/10.1142/s0217732320502661.

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In this letter we have shown that, from the standard thermodynamic functions, the mathematical form of an equipartition theorem may be related to the algebraic expression of a particular entropy initially chosen to describe the black hole event horizon. Namely, we have different equipartition expressions for distinct statistics. To this end, four different mathematical expressions for the entropy have been selected to demonstrate our objective. Furthermore, a possible phase transition is observed in the heat capacity behavior of the Tsallis and Cirto entropy model.
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