{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T01:31:53Z","timestamp":1773538313029,"version":"3.50.1"},"reference-count":74,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2015,5,6]],"date-time":"2015-05-06T00:00:00Z","timestamp":1430870400000},"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>We investigate the superconducting lifetime of a long overdamped current-biased Josephson junction, in the presence of telegraph noise sources. The analysis is performed by randomly choosing the initial condition for the noise source. However, in order to investigate how the initial value of the dichotomous noise affects the phase dynamics, we extend our analysis using two different fixed initial values for the source of random fluctuations. In our study, the phase dynamics of the Josephson junction is analyzed as a function of the noise signal intensity, for different values of the parameters of the system and external driving currents. We find that the mean lifetime of the superconductive metastable state as a function of the noise intensity is characterized by nonmonotonic behavior, strongly related to the soliton dynamics during the switching towards the resistive state. The role of the correlation time of the noise source is also taken into account. Noise-enhanced stability is observed in the investigated system.<\/jats:p>","DOI":"10.3390\/e17052862","type":"journal-article","created":{"date-parts":[[2015,5,6]],"date-time":"2015-05-06T10:58:41Z","timestamp":1430909921000},"page":"2862-2875","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":101,"title":["Stabilization Effects of Dichotomous Noise on the Lifetime of the Superconducting State in a Long Josephson Junction"],"prefix":"10.3390","volume":"17","author":[{"given":"Claudio","family":"Guarcello","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica e Chimica, Interdisciplinary Theoretical Physics Group, Universit\u00e0 di Palermo and CNISM, Unit\u00e0 di Palermo, Viale delle Scienze, Edificio 18, I-90128 Palermo, Italy"},{"name":"Radiophysics Department, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Avenue, Nizhni Novgorod 603950, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5496-1518","authenticated-orcid":false,"given":"Davide","family":"Valenti","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica, Interdisciplinary Theoretical Physics Group, Universit\u00e0 di Palermo and CNISM, Unit\u00e0 di Palermo, Viale delle Scienze, Edificio 18, I-90128 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4402-2207","authenticated-orcid":false,"given":"Angelo","family":"Carollo","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica, Interdisciplinary Theoretical Physics Group, Universit\u00e0 di Palermo and CNISM, Unit\u00e0 di Palermo, Viale delle Scienze, Edificio 18, I-90128 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernardo","family":"Spagnolo","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica e Chimica, Interdisciplinary Theoretical Physics Group, Universit\u00e0 di Palermo and CNISM, Unit\u00e0 di Palermo, Viale delle Scienze, Edificio 18, I-90128 Palermo, Italy"},{"name":"Radiophysics Department, Lobachevsky State University of Nizhni Novgorod, 23 Gagarin Avenue, Nizhni Novgorod 603950, Russia"},{"name":"Istituto Nazionale di Fisica Nucleare, Sezione di Catania, Via S. Sofia 64, I-90123 Catania, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,5,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Kogan, S. (1996). Electronic Noise and Fluctuations in Solids, Cambridge University Press.","DOI":"10.1017\/CBO9780511551666"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1140\/epjb\/e2005-00233-1","article-title":"Optimization of impurity profile for p-n-junction in heterostructures","volume":"46","author":"Pankratov","year":"2005","journal-title":"Eur. Phys. J. B"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1272","DOI":"10.1103\/PhysRevLett.53.1272","article-title":"Composition of 1\/f Noise in Metal-Insulator-Metal Tunnel Junctions","volume":"53","author":"Rogers","year":"1984","journal-title":"Phys. Rev. Lett"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1103\/PhysRevLett.55.859","article-title":"Nature of single-localized-electron states derived from tunneling measurements","volume":"55","author":"Rogers","year":"1985","journal-title":"Phys. Rev. Lett"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"228","DOI":"10.1103\/PhysRevLett.52.228","article-title":"Discrete Resistance Switching in Submicrometer Silicon Inversion Layers: Individual Interface Traps and Low-Frequency 1\/f Noise","volume":"52","author":"Ralls","year":"1984","journal-title":"Phys. Rev. Lett"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"5800","DOI":"10.1103\/PhysRevB.44.5800","article-title":"Microscopic study of 1\/f noise in metal nanobridges","volume":"44","author":"Ralls","year":"1991","journal-title":"Phys. Rev. B"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1687","DOI":"10.1103\/PhysRevLett.58.1687","article-title":"Direct lifetime measurements and interactions of charged defect states in submicron Josephson junctions","volume":"58","author":"Wakai","year":"1987","journal-title":"Phys. Rev. Lett"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"8391","DOI":"10.1103\/PhysRevB.44.8391","article-title":"Random telegraph-switching noise in coplanar current measurements of amorphous silicon","volume":"44","author":"Parman","year":"1991","journal-title":"Phys. Rev. B"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1523","DOI":"10.1063\/1.370924","article-title":"Random telegraph signals and 1\/f noise in a silicon quantum dot","volume":"86","author":"Peters","year":"1999","journal-title":"J. Appl. Phys"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"224523","DOI":"10.1103\/PhysRevB.70.224523","article-title":"Tunability of a 2e periodic single Cooper pair box","volume":"70","author":"Gunnarsson","year":"2004","journal-title":"Phys. Rev. B"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"122516","DOI":"10.1063\/1.2357010","article-title":"Low-frequency noise in Josephson junctions for superconducting qubits","volume":"89","author":"Eroms","year":"2006","journal-title":"Appl. Phys. Lett"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1103\/RevModPhys.86.361","article-title":"1\/f noise: Implications for solid-state quantum information","volume":"86","author":"Paladino","year":"2014","journal-title":"Rev. Mod. Phys"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"010602","DOI":"10.1103\/PhysRevLett.87.010602","article-title":"Giant acceleration of free diffusion by use of tilted periodic potentials","volume":"87","author":"Reimann","year":"2001","journal-title":"Phys. Rev. Lett"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"041104","DOI":"10.1103\/PhysRevE.72.041104","article-title":"Acceleration of diffusion in randomly switching potential with supersymmetry","volume":"72","author":"Dubkov","year":"2005","journal-title":"Phys. Rev. E"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"205315","DOI":"10.1103\/PhysRevB.77.205315","article-title":"Theory of a Josephson junction detector of non-Gaussian noise","volume":"77","author":"Grabert","year":"2008","journal-title":"Phys. Rev. B"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"113102","DOI":"10.1103\/PhysRevB.79.113102","article-title":"Feedback and rate asymmetry of the Josephson junction noise detector","volume":"79","author":"Urban","year":"2009","journal-title":"Phys. Rev. B"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"046712","DOI":"10.1103\/PhysRevE.82.046712","article-title":"Detection of noise-corrupted sinusoidal signals with Josephson junctions","volume":"82","author":"Filatrella","year":"2010","journal-title":"Phys. Rev. E"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"016708","DOI":"10.1103\/PhysRevE.85.016708","article-title":"Characterization of escape times of Josephson junctions for signal detection","volume":"85","author":"Addesso","year":"2012","journal-title":"Phys. Rev. E"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"036601","DOI":"10.1103\/PhysRevLett.98.036601","article-title":"Detecting charge noise with a Josephson junction: A problem of thermal escape in presence of non-Gaussian fluctuations","volume":"98","author":"Ankerhold","year":"2007","journal-title":"Phys. Rev. Lett"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"136803","DOI":"10.1103\/PhysRevLett.98.136803","article-title":"Stochastic dynamics of a Josephson junction threshold detector","volume":"98","author":"Sukhorukov","year":"2007","journal-title":"Phys. Rev. Lett"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"043013","DOI":"10.1088\/1367-2630\/15\/4\/043013","article-title":"Linear dynamics subject to thermal fluctuations and non-Gaussian noise: From classical to quantum","volume":"15","author":"Ankerhold","year":"2013","journal-title":"New J. Phys"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"142605","DOI":"10.1063\/1.4824308","article-title":"Underdamped Josephson junction as a switching current detector","volume":"14","author":"Oelsner","year":"2013","journal-title":"Appl. Phys. Lett"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"106801","DOI":"10.1103\/PhysRevLett.93.106801","article-title":"Josephson junctions as threshold detectors for full counting statistics","volume":"93","author":"Tobiska","year":"2004","journal-title":"Phys. Rev. Lett"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"127003","DOI":"10.1103\/PhysRevLett.91.127003","article-title":"Resonant escape over an oscillating barrier in underdamped Josephson tunnel junctions","volume":"91","author":"Yu","year":"2003","journal-title":"Phys. Rev. Lett"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"021107","DOI":"10.1103\/PhysRevE.75.021107","article-title":"Thermal escape from a metastable state in periodically driven Josephson junctions","volume":"75","author":"Sun","year":"2007","journal-title":"Phys. Rev. E"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"030104","DOI":"10.1103\/PhysRevE.79.030104","article-title":"Resonant activation through effective temperature oscillation in a Josephson tunnel junction","volume":"79","author":"Pan","year":"2009","journal-title":"Phys. Rev. E"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1260","DOI":"10.1103\/PhysRevLett.53.1260","article-title":"Resonant activation from the zero-voltage state of a current-biased Josephson junction","volume":"53","author":"Devoret","year":"1984","journal-title":"Phys. Rev. Lett"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1908","DOI":"10.1103\/PhysRevLett.55.1908","article-title":"Measurements of macroscopic quantum tunneling out of the zero-voltage state of a current-biased Josephson junction","volume":"55","author":"Devoret","year":"1985","journal-title":"Phys. Rev. Lett"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"15417","DOI":"10.1103\/PhysRevB.54.15417","article-title":"Thermally activated escape from the zero-voltage state in long Josephson junctions","volume":"54","author":"Castellano","year":"1996","journal-title":"Phys. Rev. B"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Novotn\u1ef3, T. (2009). Josephson junctions as threshold detectors of full counting statistics: Open issues. J. Stat. Mech. Theory Exp, P01050.","DOI":"10.1088\/1742-5468\/2009\/01\/P01050"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"736","DOI":"10.1002\/andp.200751910-1107","article-title":"Josephson junctions as detectors for non-Gaussian noise","volume":"16","author":"Huard","year":"2007","journal-title":"Ann. Phys"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.physe.2007.05.017","article-title":"Detecting non-Gaussian current fluctuations using a Josephson threshold detector","volume":"40","author":"Peltonen","year":"2007","journal-title":"Physica E"},{"key":"ref_33","unstructured":"Montroll, E.W., and Shlesinger, M.F. (1984). Nonequilibrium Phenomena II: From Stochastics to Hydrodynamics, North-Holland."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Shlesinger, M.F., Zaslavsky, G.M., and Frisch, U. (1994). L\u00e9vy Flights and Related Topics in Physics, Springer.","DOI":"10.1007\/3-540-59222-9"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"016105","DOI":"10.1103\/PhysRevE.69.016105","article-title":"Resonant activation in the presence of nonequilibrated baths","volume":"69","author":"Dybiec","year":"2004","journal-title":"Phys. Rev. E"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1109\/TSP.2007.906775","article-title":"Soft-decision metrics for coded orthogonal signaling in symmetric alpha-stable noise","volume":"56","author":"Souryal","year":"2008","journal-title":"IEEE Trans. Signal Process"},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"024504","DOI":"10.1103\/PhysRevB.76.024504","article-title":"Mean time of the thermal escape in a current-biased long-overlap Josephson junction","volume":"76","author":"Fedorov","year":"2007","journal-title":"Phys. Rev. B"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"2857","DOI":"10.1142\/S0218127408022111","article-title":"Influence of length on the noise delayed switching of long Josephson junctions","volume":"18","author":"Fedorov","year":"2008","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_39","first-page":"801","article-title":"Effects of colored noise in short overdamped Josephson junction","volume":"6","author":"Augello","year":"2008","journal-title":"Int. J. Bifurc. Chaos"},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1140\/epjb\/e2009-00155-x","article-title":"Lifetime of the superconductive state in short and long Josephson junctions","volume":"70","author":"Augello","year":"2009","journal-title":"Eur. Phys. J. B"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1140\/epjb\/e2010-10106-1","article-title":"Non-Gaussian noise effects in the dynamics of a short overdamped Josephson junction","volume":"78","author":"Augello","year":"2010","journal-title":"Eur. Phys. J. B"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"997","DOI":"10.5506\/APhysPolB.44.997","article-title":"The Role of Non-Gaussian Sources in the Transient Dynamics of Long Josephson Junctions","volume":"44","author":"Guarcello","year":"2013","journal-title":"Acta Phys. Pol. B"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"214510","DOI":"10.1103\/PhysRevB.89.214510","article-title":"Switching times in long-overlap Josephson junctions subject to thermal fluctuations and non-Gaussian noise sources","volume":"89","author":"Valenti","year":"2014","journal-title":"Phys. Rev. B"},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"260601","DOI":"10.1103\/PhysRevLett.103.260601","article-title":"Crossover of the thermal escape problem in annular spatially distributed systems","volume":"103","author":"Fedorov","year":"2009","journal-title":"Phys. Rev. Lett"},{"key":"ref_45","doi-asserted-by":"crossref","unstructured":"Barone, A., and Paterno, G. (1982). Physics and Applications of the Josephson Effect, Wiley.","DOI":"10.1002\/352760278X"},{"key":"ref_46","unstructured":"Likharev, K. (1986). Dynamics of Josephson Junctions and Circuits, Gordon & Breach."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/S0167-2789(98)00131-6","article-title":"Solitons in Josephson junctions","volume":"123","author":"Ustinov","year":"1998","journal-title":"Physica D"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1397","DOI":"10.1103\/PhysRevA.23.1397","article-title":"Nucleation theory of overdamped soliton motion","volume":"23","author":"Landauer","year":"1981","journal-title":"Phys. Rev. A"},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"1652","DOI":"10.1103\/PhysRevA.18.1652","article-title":"Perturbation analysis of fluxon dynamics","volume":"18","author":"McLaughlin","year":"1978","journal-title":"Phys. Rev. A"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"1196","DOI":"10.1109\/TMAG.1983.1062297","article-title":"An analysis of fluxons in long Josephson junctions","volume":"19","author":"Dueholm","year":"1983","journal-title":"IEEE Trans. Magn"},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1140\/epjb\/e2006-00102-5","article-title":"Moment equations for a spatially extended system of two competing species","volume":"50","author":"Valenti","year":"2006","journal-title":"Eur. Phys. J. B"},{"key":"ref_52","first-page":"1961","article-title":"Moment Equations in a Lotka\u2013Volterra Extended System with Time Correlated Noise","volume":"38","author":"Valenti","year":"2007","journal-title":"Acta Phys. Pol. B"},{"key":"ref_53","first-page":"457","article-title":"Stochastic dynamics and mean field approach in a system of three interacting species","volume":"7","author":"Valenti","year":"2009","journal-title":"Cent. Eur. J. Phys"},{"key":"ref_54","first-page":"1051","article-title":"Mean Field Approach and Role of the Coloured Noise in the Dynamics of Three Interacting Species","volume":"41","author":"Valenti","year":"2010","journal-title":"Acta Phys. Pol. B"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/S0034-4877(12)60037-8","article-title":"External Noise Effects in Doped Semiconductors Operating Under sub-THz Signals","volume":"70","author":"Adorno","year":"2012","journal-title":"Rep. Math. Phys"},{"key":"ref_56","doi-asserted-by":"crossref","first-page":"061103","DOI":"10.1103\/PhysRevE.69.061103","article-title":"Noise-enhanced stability in fluctuating metastable states","volume":"69","author":"Dubkov","year":"2004","journal-title":"Phys. Rev. E"},{"key":"ref_57","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_58","doi-asserted-by":"crossref","first-page":"035102","DOI":"10.1103\/PhysRevE.64.035102","article-title":"Noise-enhanced stability of periodically driven metastable states","volume":"64","author":"Agudov","year":"2001","journal-title":"Phys. Rev. E"},{"key":"ref_59","doi-asserted-by":"crossref","first-page":"144","DOI":"10.1016\/S0378-4371(03)00193-6","article-title":"Escape from a metastable state with fluctuating barrier","volume":"325","author":"Agudov","year":"2003","journal-title":"Physica A"},{"key":"ref_60","first-page":"1419","article-title":"Noise enhanced stability","volume":"35","author":"Spagnolo","year":"2004","journal-title":"Acta Phys. Pol. B"},{"key":"ref_61","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1140\/epjb\/e2004-00268-8","article-title":"Enhancement of stability in randomly switching potential with metastable state","volume":"40","author":"Spagnolo","year":"2004","journal-title":"Eur. Phys. J. B"},{"key":"ref_62","doi-asserted-by":"crossref","first-page":"10819","DOI":"10.1073\/pnas.0502884102","article-title":"Noise-induced stability in dryland plant ecosystems","volume":"102","author":"Laio","year":"2005","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"ref_63","doi-asserted-by":"crossref","first-page":"061110","DOI":"10.1103\/PhysRevE.72.061110","article-title":"Signatures of noise-enhanced stability in metastable states","volume":"72","author":"Fiasconaro","year":"2005","journal-title":"Phys. Rev. E"},{"key":"ref_64","doi-asserted-by":"crossref","first-page":"050101","DOI":"10.1103\/PhysRevE.74.050101","article-title":"Metastability, nucleation, and noise-enhanced stabilization out of equilibrium","volume":"74","author":"Hurtado","year":"2006","journal-title":"Phys. Rev. E"},{"key":"ref_65","first-page":"1925","article-title":"Lifetime of metastable states and suppression of noise in interdisciplinary physical models","volume":"38","author":"Spagnolo","year":"2007","journal-title":"Acta Phys. Pol. B"},{"key":"ref_66","doi-asserted-by":"crossref","first-page":"016106","DOI":"10.1103\/PhysRevE.75.016106","article-title":"Mean escape time in a system with stochastic volatility","volume":"75","author":"Bonanno","year":"2007","journal-title":"Phys. Rev. E"},{"key":"ref_67","doi-asserted-by":"crossref","first-page":"051113","DOI":"10.1103\/PhysRevE.77.051113","article-title":"Thermally enhanced stability in fluctuating bistable potentials","volume":"77","author":"Mankin","year":"2008","journal-title":"Phys. Rev. E"},{"key":"ref_68","doi-asserted-by":"crossref","first-page":"014508","DOI":"10.1063\/1.2946710","article-title":"Noise-induced order in the chaos of the Belousov\u2013Zhabotinsky reaction","volume":"129","author":"Yoshimoto","year":"2008","journal-title":"J. Chem. Phys"},{"key":"ref_69","doi-asserted-by":"crossref","first-page":"443","DOI":"10.1140\/epjb\/e2008-00315-6","article-title":"Dynamics of a FitzHugh-Nagumo system subjected to autocorrelated noise","volume":"65","author":"Valenti","year":"2008","journal-title":"Eur. Phys. J. B"},{"key":"ref_70","doi-asserted-by":"crossref","first-page":"041110","DOI":"10.1103\/PhysRevE.80.041110","article-title":"Stability measures in metastable states with Gaussian colored noise","volume":"80","author":"Fiasconaro","year":"2009","journal-title":"Phys. Rev. E"},{"key":"ref_71","doi-asserted-by":"crossref","first-page":"07D313","DOI":"10.1063\/1.3075864","article-title":"Noise enhanced stability in magnetic systems","volume":"105","author":"Trapanese","year":"2009","journal-title":"J. Appl. Phys"},{"key":"ref_72","doi-asserted-by":"crossref","first-page":"041120","DOI":"10.1103\/PhysRevE.82.041120","article-title":"Noise-induced enhancement of stability in a metastable system with damping","volume":"82","author":"Fiasconaro","year":"2010","journal-title":"Phys. Rev. E"},{"key":"ref_73","doi-asserted-by":"crossref","first-page":"041104","DOI":"10.1103\/PhysRevE.82.041104","article-title":"Thermal-inertial ratchet effects: Negative mobility, resonant activation, noise-enhanced stability, and noise-weakened stability","volume":"82","author":"Li","year":"2010","journal-title":"Phys. Rev. E"},{"key":"ref_74","doi-asserted-by":"crossref","first-page":"132405","DOI":"10.1103\/PhysRevB.82.132405","article-title":"Influence of the size of uniaxial magnetic nanoparticle on the reliability of high-speed switching","volume":"82","author":"Smirnov","year":"2010","journal-title":"Phys. Rev. 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