On a previously unpublished work with Ralph Kenna

R. Kenna; B. Berche

doi:10.5488/cmp.27.33602

Authors

R. Kenna Centre for Fluids and Complex Systems, Coventry University, England; L4 collaboration, Leipzig-Lorraine-Lviv-Coventry, Europe https://orcid.org/0000-0001-9990-4277
B. Berche Laboratoire de Physique et Chimie Théoriques, CNRS - Université de Lorraine, UMR 7019, Nancy, France; L4 collaboration, Leipzig-Lorraine-Lviv-Coventry, Europe https://orcid.org/0000-0002-4254-807X

DOI:

https://doi.org/10.5488/cmp.27.33602

Keywords:

universality, finite-size scaling, upper critical dimension

Abstract

This is part of an unpublished work in collaboration with Ralph Kenna. It was probably not mature enough at the time it was submitted more than ten years ago and it was rejected by the editors, but some of the ideas had later been published partially in subsequent works. I believe that this “draft” reveals a lot about Ralph’s enthusiasm and audacity and deserves to be published now, maybe as a part of his legacy.

References

Fisher M. E., In: Proceedings of the Enrico Fermi International School of Physics “Critical Phenomena”, Green M. S. (Ed.), Academic Press, New York, 1971, 1.

Brézin E., J. Phys. (Paris), 1982, 43, 15. DOI: https://doi.org/10.1051/jphys:0198200430101500

Binder K., Z. Phys. B, 1985, 61, 13. DOI: https://doi.org/10.1007/BF01308937

Binder K., Nauenberg M., Privman V., Young A. P., Phys. Rev. B, 1985, 31, 1498. DOI: https://doi.org/10.1103/PhysRevB.31.1498

Brézin E., Zinn-Justin J., Nucl. Phys. B, 1985, 257, 867. DOI: https://doi.org/10.1016/0550-3213(85)90379-7

Rudnick J., Guo H., Jasnow D., J. Stat. Phys., 1985, 41, 353. DOI: https://doi.org/10.1007/BF01009013

Rudnick J., Gaspari G., Privman V., Phys. Rev. B, 1985, 32, 7594. DOI: https://doi.org/10.1103/PhysRevB.32.7594

Binder K., Ferroelectrics, 1987, 73, 43. DOI: https://doi.org/10.1080/00150198708227908

Rickwardt Ch., Nielaba P., Binder K., Ann. Phys., 1994, 506, 483. DOI: https://doi.org/10.1002/andp.19945060606

Mon K. K., Europhys. Lett., 1996, 34, 399. DOI: https://doi.org/10.1209/epl/i1996-00470-4

Parisi G., Ruiz-Lorenzo J. J., Phys. Rev. B, 1996, 54, R3698. DOI: https://doi.org/10.1103/PhysRevB.54.R3698

Luĳten E., Blöte H. W. J., Phys. Rev. Lett., 1996, 76, 1557. DOI: https://doi.org/10.1103/PhysRevLett.76.1557

Luĳten E., Blöte H. W. J., Phys. Rev. B, 1997, 56, 8945.

Blöte H. W. J., Luĳten E., Europhys. Lett., 1997, 38, 565. DOI: https://doi.org/10.1209/epl/i1997-00284-x

Luĳten E., Interaction Range, Universality and the Upper Critical Dimension, Delft University Press, Delft, 1997.

Luĳten E., Binder K., Blöte H. W. J., Eur. Phys. J. B, 1999, 9, 289. DOI: https://doi.org/10.1007/s100510050768

Binder K., Luĳten E., Müller M., Wilding N. B., Blöte H. W. J., Physica A, 2000, 281, 112. DOI: https://doi.org/10.1016/S0378-4371(00)00025-X

Aktekin N., Erkoç Ş., Kalay M., Int. J. Mod. Phys. C, 1999, 10, 1237. DOI: https://doi.org/10.1142/S0129183199001005

Aktekin N., Erkoç Ş., Physica A, 2000, 284, 206. DOI: https://doi.org/10.1016/S0378-4371(00)00181-3

Merdan Z., Duran A., Atille D., Mülazimogˇlu G., Günen A., Physica A, 2006, 366, 265. DOI: https://doi.org/10.1016/j.physa.2005.10.035

Jones J. L., Young A. P., Phys. Rev. B, 2005, 71, 174438. DOI: https://doi.org/10.1103/PhysRevD.71.124019

Lundow P. H., Markström K., Nucl. Phys. B, 2011, 845, 120. DOI: https://doi.org/10.1016/j.nuclphysb.2010.12.002

Fisher M. E., In: Critical Phenomena. Lecture Notes in Physics, vol 186, Hahne F. J. W. (Ed.), Springer, Berlin, 1983, 1–139.

Brankov I. G., Danchev D. M., Tonchev N. S., Theory of Critical Phenomena in Finite-Size Systems: Scaling and Quantum Effects, World Scientific, Singapore, 2000. DOI: https://doi.org/10.1142/9789812813435

Binder K., Luĳten E., Phys. Rep., 2001, 344, 179–253. DOI: https://doi.org/10.1016/S0370-1573(00)00127-7

Binder K., In: Phase Transitions and Critical Phenomena, Vol. 8, Domb C., Lebowitz J. L. (Eds.), Academic Press, London, 1983, 1–444.

Wegner F. J., Riedel E. K., Phys. Rev. B, 1973, 7, 248. DOI: https://doi.org/10.1103/PhysRevB.7.248

Kenna R., Johnston D. A., Janke W., Phys. Rev. Lett., 2006, 96, 115701. DOI: https://doi.org/10.1103/PhysRevLett.96.115701

Kenna R., Johnston D. A., Janke W., Phys. Rev. Lett., 2006, 97, 155702. DOI: https://doi.org/10.1103/PhysRevLett.97.169901

Watson P. G., In: Phase transitions and critical phenomena, Vol. 2, Domb C., Green M. S. (Eds.), Academic, London, 1973, 101.

Gunton J. D., Phys. Lett. A, 1968, 26, 406. DOI: https://doi.org/10.1016/0375-9601(68)90245-4

Yang C. N., Lee T. D., Phys. Rev., 1952, 87, 404. DOI: https://doi.org/10.1103/PhysRev.87.404

Lee T. D., Yang C. N., Phys. Rev., 1952, 87, 410. DOI: https://doi.org/10.1103/PhysRev.87.410

Itzykson C., Pearson R. B., Zuber J. B., Nucl. Phys. B, 1983, 220, 415. DOI: https://doi.org/10.1016/0550-3213(83)90499-6

Berche B., Chatelain C., Dhall C., Kenna R., Low R., Walter J. C., J. Stat. Mech.: Theory Exp., 2008, 2008, P11010. DOI: https://doi.org/10.1088/1742-5468/2008/11/P11010

Butera P., Pernici M., Phys. Rev. E, 2012, 85, 021105. DOI: https://doi.org/10.1103/PhysRevE.85.021105

Landauer R., IBM J. Res. Dev., 1961, 5, 183.

Toyabe S., Sagawa T., Ueda M., Muneyuki E., Sano M., Nat. Phys., 2010, 6, 988.

Bérut A., Arakelyan A., Petrosyan A., Ciliberto S., Dillenschneider R., Lutz E., Nature, 2012, 483, 187.

Gell-Mann M., Tsallis C. (Eds.), Nonextensive Entropy, Oxford University Press, 2004.

Wegner F. J., Phys. Rev. B, 1972, 5, 4529. DOI: https://doi.org/10.1103/PhysRevB.5.4529

Blöte H. W. J., Luĳten E., Heringa J. R., J. Phys. A: Math. Gen., 1995, 28, 6289. DOI: https://doi.org/10.1088/0305-4470/28/22/007

Luĳten E., Phys. Rev. E, 1999, 59, 4997. DOI: https://doi.org/10.1103/PhysRevE.59.4997

Fisher M. E., Ma S. K., Nickel B. G., Phys. Rev. Lett., 1972, 29, 917. DOI: https://doi.org/10.1103/PhysRevLett.29.917

Coleman S., Aspects of Symmetry, Cambridge University Press, 1988.

Kenna R., Berche B., Condens. Matter Phys., 2013, 16, 23601. DOI: https://doi.org/10.5488/CMP.16.23601

Kenna R., Berche B., Europhys. Lett., 2014, 105, 26005. DOI: https://doi.org/10.1209/0295-5075/105/26005

Ruiz-Lorenzo J. J., Condens. Matter Phys., 2017, 20, 13601. DOI: https://doi.org/10.5488/CMP.20.13601

Gell-Mann M., Tsallis C. (Eds.), Nonextensive Entropy Interdisciplinary Applications, Oxford University Press, 2004. DOI: https://doi.org/10.1093/oso/9780195159769.001.0001

Nauenberg M., Phys. Rev. E, 2003, 67, 036114. DOI: https://doi.org/10.1103/PhysRevE.67.036114

Berche B., Ellis T., Holovatch Yu., Kenna R., SciPost Phys. Lect. Notes, 2022, 60, 1–44.

Landauer R., IBM J. Res. Dev., 1961, 5, 183–191. DOI: https://doi.org/10.1147/rd.53.0183

Toyabe S., Sagawa T., Ueda M., Muneyuki E., Sano M., Nat. Phys., 2010, 6, 988–992. DOI: https://doi.org/10.1038/nphys1821

Bérut A., Arakelyan A., Petrosyan A., Ciliberto S., Dillenschneider R., Lutz E., Nature, 2012, 483, 187–190. DOI: https://doi.org/10.1038/nature10872

Shannon C. E., Bell Syst. Tech. J., 1948, 27, 379–423. DOI: https://doi.org/10.1002/j.1538-7305.1948.tb01338.x

Hartley R. V. L., Bell Syst. Tech. J., 1928, 7, 535–563. DOI: https://doi.org/10.1002/j.1538-7305.1928.tb01236.x

Luĳten E., Blöte H. W. J., Phys. Rev. B, 1997, 56, 8945. DOI: https://doi.org/10.1103/PhysRevB.56.8945

Luĳten E., Ph.D. Thesis, Delft University, 1997.

Lundow P., Markström K., Nucl. Phys. B, 2014, 889, 249. DOI: https://doi.org/10.1016/j.nuclphysb.2014.10.011

Flores-Sola E., Berche B., Kenna R., Weigel M., Phys. Rev. Lett., 2016, 116, 115701. DOI: https://doi.org/10.1103/PhysRevLett.116.115701

Honchar Yu., Berche B., Holovatch Yu., Kenna R., Preprint arXiv:2311.11721, 2023.

Wittmann, M., Young A. P., Phys. Rev. E, 2014, 90, 062137. DOI: https://doi.org/10.1103/PhysRevE.90.062137

Flores-Sola E. J., Berche B., Kenna R., Weigel M., Eur. Phys. J. B, 2014, 88, 1–8. DOI: https://doi.org/10.1140/epjb/e2014-50683-1

Kenna R., Berche B., J. Phys. A: Math. Theor., 2017, 50, 235001. DOI: https://doi.org/10.1088/1751-8121/aa6bd5

Lv J. P., Xu W., Sun Y., Chen K., Deng Y., Natl. Sci. Rev., 2021, 8, nwaa212. DOI: https://doi.org/10.1093/nsr/nwaa212

Langheld A., Koziol J. A., Adelhardt P., Kapfer S. C., Schmidt K. P., SciPost Phys., 2022, 13, 088. DOI: https://doi.org/10.21468/SciPostPhys.13.4.088

Fytas N. G., Martín-Mayor V., Parisi G., Picco M., Sourlas N., Phys. Rev. E, 2023, 108, 044146. DOI: https://doi.org/10.1103/PhysRevE.108.044146