{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:43:24Z","timestamp":1760237004098,"version":"build-2065373602"},"reference-count":46,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2020,2,13]],"date-time":"2020-02-13T00:00:00Z","timestamp":1581552000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Transport phenomena are ubiquitous in physics, and it is generally understood that the environmental disorder and noise deteriorates the transfer of excitations. There are, however, cases in which transport can be enhanced by fluctuations. In the present work, we show, by means of micromagnetics simulations, that transport efficiency in a chain of classical macrospins can be greatly increased by an optimal level of dephasing noise. We also demonstrate the same effect in a simplified model, the dissipative Discrete Nonlinear Schr\u00f6dinger equation, subject to phase noise. Our results point towards the realization of a large class of magnonics and spintronics devices, where disorder and noise can be used to enhance spin-dependent transport efficiency.<\/jats:p>","DOI":"10.3390\/e22020210","type":"journal-article","created":{"date-parts":[[2020,2,14]],"date-time":"2020-02-14T10:09:57Z","timestamp":1581674997000},"page":"210","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Dephasing-Assisted Macrospin Transport"],"prefix":"10.3390","volume":"22","author":[{"given":"Stefano","family":"Iubini","sequence":"first","affiliation":[{"name":"Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy"},{"name":"Dipartimento di Fisica e Astronomia, Universit\u00e0 di Padova, via F. Marzolo 8 I-35131, Padova, Italy"}]},{"given":"Simone","family":"Borlenghi","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, School of Engineering Sciences, KTH Royal Institute of Technology, Electrum 229, SE-16440 Kista, Sweden"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7788-6127","authenticated-orcid":false,"given":"Anna","family":"Delin","sequence":"additional","affiliation":[{"name":"Department of Applied Physics, School of Engineering Sciences, KTH Royal Institute of Technology, Electrum 229, SE-16440 Kista, Sweden"},{"name":"Department of Physics and Astronomy, Materials Theory Division, Uppsala University, Box 516, SE-75120 Uppsala, Sweden"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8675-9541","authenticated-orcid":false,"given":"Stefano","family":"Lepri","sequence":"additional","affiliation":[{"name":"Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy"},{"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, via G. Sansone 1 I-50019, Sesto Fiorentino, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0205-3790","authenticated-orcid":false,"given":"Francesco","family":"Piazza","sequence":"additional","affiliation":[{"name":"Centre de Biophysique Mol\u00e9culaire, (CBM), CNRS-UPR 4301, Rue C. Sadron, 45071 Orl\u00e9ans, France"},{"name":"Universit\u00e9 d\u2019Orl\u00e9ans, Ch\u00e2teau de la Source, 45071 Orl\u00e9ans Cedex, France"}]}],"member":"1968","published-online":{"date-parts":[[2020,2,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Livi, R., and Politi, P. (2017). Nonequilibrium Statistical Physics: A Modern Perspective, Cambridge University Press.","DOI":"10.1017\/9781107278974"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Puglisi, A., Sarracino, A., and Vulpiani, A. (2018). Thermodynamics and Statistical Mechanics of Small Systems. Entropy, 20.","DOI":"10.3390\/e20060392"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Lepri, S. (2016). Thermal Transport in Low Dimensions: From Statistical Physics to Nanoscale Heat Transfer, Springer.","DOI":"10.1007\/978-3-319-29261-8"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1140\/epjb\/e2015-60727-7","article-title":"Nanophononics: state of the art and perspectives","volume":"89","author":"Volz","year":"2016","journal-title":"Eur. Phys. J. B"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1488","DOI":"10.1126\/science.1065389","article-title":"Spintronics: A Spin-Based Electronics Vision for the Future","volume":"294","author":"Wolf","year":"2001","journal-title":"Science"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"264001","DOI":"10.1088\/0022-3727\/43\/26\/264001","article-title":"Magnonics","volume":"43","author":"Kruglyak","year":"2010","journal-title":"J. Phys. D Appl. Phys."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"778","DOI":"10.1038\/nature07321","article-title":"Observation of the spin Seebeck effect","volume":"455","author":"Uchida","year":"2008","journal-title":"Nature"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"894","DOI":"10.1038\/nmat2856","article-title":"Spin Seebeck insulator","volume":"9","author":"Uchida","year":"2010","journal-title":"Nat. Mater."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1038\/nmat3301","article-title":"Spin Caloritronics","volume":"11","author":"Bauer","year":"2012","journal-title":"Nat. Mater."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"047203","DOI":"10.1103\/PhysRevLett.112.047203","article-title":"Designing a Spin-Seebeck Diode","volume":"112","author":"Borlenghi","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"052101","DOI":"10.1103\/PhysRevE.98.052101","article-title":"Modeling reservoir computing with the discrete nonlinear Schr\u00f6dinger equation","volume":"98","author":"Borlenghi","year":"2018","journal-title":"Phys. Rev. E"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1875","DOI":"10.1109\/TMAG.2008.2009935","article-title":"Nonlinear Auto-Oscillator Theory of Microwave Generation by Spin-Polarized Current","volume":"45","author":"Slavin","year":"2009","journal-title":"IEEE Trans. Magn."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1103\/PhysRevLett.76.563","article-title":"Noise enhanced stability in an unstable system","volume":"76","author":"Mantegna","year":"1996","journal-title":"Phys. Rev. Lett."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1103\/RevModPhys.70.223","article-title":"Stochastic resonance","volume":"70","author":"Gammaitoni","year":"1998","journal-title":"Rev. Mod. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"775","DOI":"10.1103\/PhysRevLett.78.775","article-title":"Coherence resonance in a noise-driven excitable system","volume":"78","author":"Pikovsky","year":"1997","journal-title":"Phys. Rev. Lett."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2318","DOI":"10.1103\/PhysRevLett.69.2318","article-title":"Resonant activation over a fluctuating barrier","volume":"69","author":"Doering","year":"1992","journal-title":"Phys. Rev. Lett."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/0375-9601(72)90439-2","article-title":"The moments of the coupled coherent and incoherent motion of excitons","volume":"42","author":"Schwarzer","year":"1972","journal-title":"Phys. Lett. A"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/BF01399723","article-title":"An exactly solvable model for coherent and incoherent exciton motion","volume":"262","author":"Haken","year":"1973","journal-title":"Z. Phys. A Hadron. Nucl."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4135","DOI":"10.1103\/PhysRevB.36.4135","article-title":"Dephasing and Anderson localization in topologically disordered systems","volume":"36","author":"Logan","year":"1987","journal-title":"Phys. Rev. B"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"7199","DOI":"10.1063\/1.453363","article-title":"Localizability and dephasing of dipolar excitons in topologically disordered systems","volume":"87","author":"Logan","year":"1987","journal-title":"J. Chem. Phys."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"113019","DOI":"10.1088\/1367-2630\/10\/11\/113019","article-title":"Dephasing-assisted transport: quantum networks and biomolecules","volume":"10","author":"Plenio","year":"2008","journal-title":"New J. Phys."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"033003","DOI":"10.1088\/1367-2630\/11\/3\/033003","article-title":"Environment-assisted quantum transport","volume":"11","author":"Rebentrost","year":"2009","journal-title":"New J. Phys."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"113061","DOI":"10.1088\/1367-2630\/16\/11\/113061","article-title":"Dephasing-assisted transport in linear triple quantum dots","volume":"16","author":"Bruderer","year":"2014","journal-title":"New J. Phys."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"083601","DOI":"10.1103\/PhysRevLett.115.083601","article-title":"Observation of Noise-Assisted Transport in an All-Optical Cavity-Based Network","volume":"115","author":"Viciani","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"105106","DOI":"10.1063\/1.3223548","article-title":"Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport","volume":"131","author":"Caruso","year":"2009","journal-title":"J. Chem. Phys."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"065002","DOI":"10.1088\/1367-2630\/12\/6\/065002","article-title":"Noise-assisted energy transfer in quantum networks and light-harvesting complexes","volume":"12","author":"Chin","year":"2010","journal-title":"New J. Phys."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"113030","DOI":"10.1088\/1367-2630\/17\/11\/113030","article-title":"Transport of quantum excitations coupled to spatially extended nonlinear many-body systems","volume":"17","author":"Iubini","year":"2015","journal-title":"New J. Phys."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1038\/nphys2474","article-title":"Quantum biology","volume":"9","author":"Lambert","year":"2012","journal-title":"Nat. Phys."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"050501","DOI":"10.1103\/PhysRevLett.122.050501","article-title":"Environment-Assisted Quantum Transport in a 10-qubit Network","volume":"122","author":"Maier","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"011108","DOI":"10.1103\/PhysRevE.86.011108","article-title":"Nonequilibrium discrete nonlinear Schr\u00f6dinger equation","volume":"86","author":"Iubini","year":"2012","journal-title":"Phys. Rev. E"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"P08017","DOI":"10.1088\/1742-5468\/2013\/08\/P08017","article-title":"Off-equilibrium Langevin dynamics of the discrete nonlinear Schroedinger chain","volume":"2013","author":"Iubini","year":"2013","journal-title":"J. Stat. Mech."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"P08028","DOI":"10.1088\/1742-5468\/2015\/08\/P08028","article-title":"Low temperature dynamics of the one-dimensional discrete nonlinear Schroedinger equation","volume":"2015","author":"Mendl","year":"2015","journal-title":"J. Stat. Mech. Theory Exp."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"043612","DOI":"10.1103\/PhysRevA.92.043612","article-title":"Fluctuating hydrodynamics for a discrete Gross-Pitaevskii equation: Mapping onto the Kardar-Parisi-Zhang universality class","volume":"92","author":"Kulkarni","year":"2015","journal-title":"Phys. Rev. A"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"3443","DOI":"10.1109\/TMAG.2004.836740","article-title":"A phenomenological theory of damping in ferromagnetic materials","volume":"40","author":"Gilbert","year":"2004","journal-title":"IEEE, Trans. Magn."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"012116","DOI":"10.1103\/PhysRevE.92.012116","article-title":"Energy and magnetization transport in nonequilibrium macrospin systems","volume":"92","author":"Borlenghi","year":"2015","journal-title":"Phys. Rev. E"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"224423","DOI":"10.1103\/PhysRevB.84.224423","article-title":"Identification and selection rules of the spin-wave eigenmodes in a normally magnetized nanopillar","volume":"84","author":"Naletov","year":"2011","journal-title":"Phys. Rev. B"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"2896","DOI":"10.1109\/TMAG.2007.893843","article-title":"A Systematic Approach to Multiphysics Extensions of Finite-Element-Based Micromagnetic Simulations: Nmag","volume":"43","author":"Fischbacher","year":"2007","journal-title":"IEEE Trans. Magn."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"077179","DOI":"10.1063\/1.4927769","article-title":"Size dependence of spin-wave modes in Ni80Fe20 nanodisks","volume":"5","author":"Lupo","year":"2015","journal-title":"AIP Adv."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"134419","DOI":"10.1103\/PhysRevB.94.134419","article-title":"Nanoscale control of heat and spin conduction in artificial spin chains","volume":"94","author":"Borlenghi","year":"2016","journal-title":"Phys. Rev. B"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Kuramoto, Y. (1975). Self-entrainment of a population of coupled non-linear oscillators. International Symposium on Mathematical Problems in Theoretical Physics, Springer.","DOI":"10.1007\/BFb0013365"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Kuramoto, Y. (1984). Chemical Oscillations, Waves, and Turbulence, Springer.","DOI":"10.1007\/978-3-642-69689-3"},{"key":"ref_42","first-page":"429","article-title":"Theory of communication. Part 1: The analysis of information","volume":"93","author":"Gabor","year":"1946","journal-title":"J. Inst. Electr. Eng. Part III Radio Commun. Eng."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"040102","DOI":"10.1103\/PhysRevE.91.040102","article-title":"Coherent energy transport in classical nonlinear oscillators: An analogy with the Josephson effect","volume":"91","author":"Borlenghi","year":"2015","journal-title":"Phys. Rev. E"},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Iubini, S., Lepri, S., Livi, R., Oppo, G.L., and Politi, A. (2017). A Chain, a Bath, a Sink, and a Wall. Entropy, 19.","DOI":"10.3390\/e19090445"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0370-1573(02)00558-6","article-title":"Thermal conduction in classical low-dimensional lattices","volume":"377","author":"Lepri","year":"2003","journal-title":"Phys. Rep."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"012901","DOI":"10.1103\/PhysRevE.88.012901","article-title":"Decohering localized waves","volume":"88","author":"Rayanov","year":"2013","journal-title":"Phys. Rev. E"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/2\/210\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T08:57:28Z","timestamp":1760173048000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/22\/2\/210"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,2,13]]},"references-count":46,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,2]]}},"alternative-id":["e22020210"],"URL":"https:\/\/doi.org\/10.3390\/e22020210","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2020,2,13]]}}}