Stochastic Resonance, Classical and Quantum

1. P. Jung and P. Hänggi
   Stochastic Nonlinear Dynamics Modulated by External Periodic Forces
   Europhys. Lett. 8, 505–510 (1989)
2. P. Jung and P. Hänggi
   Resonantly driven Brownian motion: Basic concepts and exact results
   Phys. Rev. A 41, 2977–2988 (1990)
3. P. Jung and P. Hänggi
   Invariant Measure of a Driven Nonlinear Oscillator with External Noise
   Phys. Rev. Lett. 65, 3365–3368 (1990)
4. P. Jung and P. Hänggi
   Effect of Periodic Driving on the Escape in Periodic Potentials
   Ber. Bunsenges. Phys. Chem. 95, 311–318 (1991)
5. P. Jung and P. Hänggi
   Amplification of Small Signals via Stochastic Resonance
   Phys. Rev. A 44, 8032–8042 (1991)
6. P. Jung and P. Hänggi
   Stochastische Resonanz
   Physikalische Blätter 47/11, 1005–1007 (1991)
7. P. Jung and P. Hänggi
   Hopping and Phase Shifts in Noisy Periodically Driven Bistable Systems
   Z. Physik B 90, 255–260 (1993)
8. Stochastic Resonance in Physics and Biology, A. Bulsara, P. Hänggi, F. Marchesoni, F. Moss, and M. Shlesinger, eds., Proceedings of the NATO Advanced Research Workshop, J. Stat. Phys., vol. 70, no. 1-2: 1-514 (1993)
9. R. Bartussek, P. Jung, and P. Hänggi
   Stochastic Resonance in Optical Bistable Systems
   in: Noise in Physical Systems and 1/f Fluctuations, P. H. Chung and A. L. Handel, eds.
   AIP Conf. Proc., vol. 285, pp. 661–664, American Institute of Physics, New York (1993)
10. P. Hänggi, P. Jung, C. Zerbe, and F. Moss
    Can Colored Noise Improve Stochastic Resonance ?
    J. Stat. Phys. 70, 25–47 (1993)
11. R. Bartussek, P. Hänggi, and P. Jung
    Stochastic Resonance in Optical Bistable Systems
    Phys. Rev. E 49, 3930–3939 (1994)
12. V. A. Shneidman, P. Jung, and P. Hänggi
    Weak Noise Limit of Stochastic Resonance
    Phys. Rev. Lett. 72, 2682–2685 (1994)
13. V. A. Shneidman, P. Jung, and P. Hänggi
    Power Spectrum of a Driven Bistable System
    Europhys. Lett. 26, 571–576 (1994)
14. R. Bartussek, P. Jung, and P. Hänggi
    Stochastic Resonance in Optical Bistable Systems: Amplification and Generation of Higher Harmonics
    Chaos, Solitons & Fractals 5, 1775–1778 (1995)
15. M. Grifoni, L. Hartmann, S. Berchtold, and P. Hänggi
    Quantum Tunneling and Stochastic Resonance
    Phys. Rev. E 53, 5890–5898 (1996)
16. M. Grifoni and P. Hänggi
    Nonlinear Quantum Stochastic Resonance
    Phys. Rev. E 54, 1390–1401 (1996)
17. M. Grifoni and P. Hänggi
    The Driven Spin-Boson System as a Model for Quantum Stochastic Resonance
    in: Path Integrals Dubna 96, V. S. Yarunin and M. A. Smondyrev, eds., pp. 230–235, Joint Institute for Nuclear Research, Dubna (1996)
18. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni
    Stochastic Resonance
    Rev. Mod. Phys. 70, 223–288 (1998)
19. P. Hänggi and M. Grifoni
    Classical and Quantum Stochastic Resonance
    in: Current Topics in Physics, Y. M. Cho, J. B. Hong, and C. N. Yang, eds.
    Conf. Proc., vol. 1, pp. 406–409, World Scientific, Singapore (1998)
20. P. Reimann and P. Hänggi
    Quantum features of Brownian motors and stochastic resonance
    Chaos 8, 629–642 (1998)
21. L. Gammaitoni, M. Löcher, A. Bulsara, P. Hänggi, J. Neff, K. Wiesenfeld, W. Ditto, and M. E. Inchiosa
    Controlling Stochastic Resonance
    Phys. Rev. Lett. 82, 4574–4577 (1999)
22. I. Goychuk and P. Hänggi
    Quantum Stochastic Resonance In Parallel
    New J. Phys. 1, 14.1–14.14 (1999)
23. I. Goychuk and P. Hänggi
    Stochastic Resonance in Ion Channels Characterized by Information Theory
    Phys. Rev. E 61, 4272–4280 (2000), [arXiv:cond-mat/9910354]
24. M. Löcher, M. E. Inchiosa, J. Neff, A. Bulsara, K. Wiesenfeld, L. Gammaitoni, P. Hänggi, and W. Ditto
    Theory of Controlling Stochastic Resonance
    Phys. Rev. E 62, 317–327 (2000)
25. C. J. Tessone, H. S. Wio, and P. Hänggi
    Stochastic Resonance driven by time-modulated correlated white noise sources
    Phys. Rev. E 62, 4623–4632 (2000)
26. M. Thorwart, P. Reimann, and P. Hänggi
    Iterative algorithm versus analytic solutions of the parametrically driven dissipative quantum harmonic oscillator
    Phys. Rev. E 62, 5808–5817 (2000), [arXiv:cond-mat/0001451]
27. P. Hänggi
    Stochastic Resonance and Brownian Machinery: New Results -- New Applications -- New Goals
    in: Traffic and Granular Flow '99, D. Helbing, H. J. Herrmann, M. Schreckenberg, and D. E. Wolf, eds., pp. 133–134, Springer-Verlag, Berlin, Heidelberg, New York (2000)
28. J. Lehmann, P. Reimann, and P. Hänggi
    Surmounting Oscillating Barriers
    Phys. Rev. Lett. 84, 1639–1642 (2000), [arXiv:cond-mat/9911342]
29. P. Hänggi, M. Inchiosa, D. Fogliatti, and A. Bulsara
    Nonlinear Stochastic Resonance: The Saga of Anomalous Output-Input Gain
    Phys. Rev. E 62, 6155–6163 (2000)
30. P. Hänggi
    Stochastische Resonanz: Rauschen macht sensibel
    Physikalische Blätter 57/1, 15–16 (2001)
31. G. Schmid, I. Goychuk, and P. Hänggi
    Stochastic resonance as a collective property of ion channel assemblies
    Europhys. Lett 56, 22–28 (2001), [arXiv:physics/0106036]
32. P. Hänggi
    Stochastic Resonance in Biology
    ChemPhysChem. 3, 285–290 (2002)
33. L. Callenbach, P. Hänggi, S. Linz, J. A. Freund, and L. Schimansky-Geier
    Oscillatory systems driven by noise: Frequency and phase synchronization
    Phys. Rev. E 65, 051110 (2002)
34. P. Hänggi, G. Schmid, and I. Goychuk
    Excitable membranes: Channel noise, synchronization and stochastic resonance
    Advances in Solid State Physics 42, 359–370 (2002)
35. J. Casado Pascual, J. Gómez Ordoñez, M. Morillo, and P. Hänggi
    Rocking bistable systems: Use and abuse of linear response theory
    Europhys. Lett. 58, 342–348 (2002), [arXiv:cond-mat/0202258]
36. J. A. Freund, L. Schimansky-Geier, and P. Hänggi
    Frequency and phase synchronization in stochastic systems
    Chaos 13, 225–238 (2003)
37. J. Casado Pascual, J. Gómez Ordoñez, M. Morillo, and P. Hänggi
    Checking linear response theory in driven bistable systems
    Fluct. Noise Lett. 2, L127--L138 (2002)
38. Stochastic Systems: From randomness to complexity, P. Hänggi and F. Marchesoni, eds., Special Issue: Physica A, vol. 325, no. 1-2: 1-296 (2003)
39. J. Casado Pascual, C. Denk, J. Gómez Ordoñez, M. Morillo, and P. Hänggi
    Gain in stochastic resonance: Precise numerics versus linear response theory beyond the two-mode approximation
    Phys. Rev. E 67, 036109 (2003), [arXiv:cond-mat/0211692]
40. J. Dunkel, W. Ebeling, L. Schimansky-Geier, and P. Hänggi
    Kramers problem in evolutionary strategies
    Phys. Rev. E 67, 061118 (2003)
41. I. Goychuk and P. Hänggi
    Non-Markovian Stochastic Resonance
    Phys. Rev. Lett. 91, 070601 (2003), [arXiv:cond-mat/0303413]
42. J. Casado Pascual, J. Gomez Ordonez, M. Morillo, and P. Hänggi
    Subthreshold stochastic resonance: Rectangular signals can cause anomalous large gains
    Phys. Rev. E 68, 061104 (2003), [arXiv:cond-mat/0307589]
43. J. Casado Pascual, J. Gomez Ordonez, M. Morillo, and P. Hänggi
    Two-state theory of nonlinear stochastic resonance
    Phys. Rev. Lett. 91, 210601 (2003), [arXiv:cond-mat/0308627]
44. I. Goychuk and P. Hänggi
    Theory of non-Markovian stochastic resonance
    Phys. Rev. E 69, 021104 (2004), [arXiv:cond-mat/0309607]
45. J. Dunkel, S. Hilbert, L. Schimansky-Geier, and P. Hänggi
    Stochastic resonance in biological nonlinear evolution models
    Phys. Rev. E 69, 056118 (2004)
46. G. Schmid, I. Goychuk, and P. Hänggi
    Controlling the spiking activity in excitable membranes via poisoning
    Physica A 344, 665–670 (2004)
47. G. Schmid and P. Hänggi
    Controlling nonlinear stochastic resonance by harmonic mixing
    Physica A 351, 95–105 (2005), [arXiv:cond-mat/0601260]
48. P. Talkner, L. Machura, M. Schindler, P. Hänggi, and J. Luczka
    Statistics of transition times, phase diffusion and synchronization in periodically driven bistable systems
    New J. Phys. 7, 14 (2005), [arXiv:physics/0409065]
49. J. Casado Pascual, J. Gómez Ordóñez, M. Morillo, J. Lehmann, I. Goychuk, and P. Hänggi
    Theory of frequency and phase synchronization in a rocked bistable stochastic system
    Phys. Rev. E 71, 011101 (2005), [arXiv:cond-mat/0410086]
50. I. Goychuk, P. Hänggi, J. L. Vega, and S. Miret Artes
    Non-Markovian stochastic resonance: three state model of ion channel gating
    Phys. Rev. E 71, 061906 (2005), [arXiv:physics/0601070]
51. M. Schindler, P. Talkner, and P. Hänggi
    Escape rates in periodically driven Markov processes
    Physica A 351, 40–50 (2005), [arXiv:physics/0601045]
52. J. Luczka, J. Dajka, M. Mierzejewski, and P. Hänggi
    Stochastic resonance and resonant enhancement of magnetic flux in periodically driven mesoscopic cylinders
    Acta Physica Polonica B 37, 1605–1616 (2006)
53. M. Kostur, M. Schindler, P. Talkner, and P. Hänggi
    Neuron firing in driven nonlinear integrate and fire models
    Math. Biosciences 207, 302–311 (2007)
54. G. Schmid and P. Hänggi
    Intrinsic coherence resonance in excitable membrane patches
    Math. Biosciences 207, 235–245 (2007)
55. G. Schmid, I. Goychuk, and P. Hänggi
    Capacitance fluctuations causing channel noise reduction in stochastic Hodgkin-Huxley systems
    Physical Biology 3, 248–254 (2006), [arXiv:abs/q-bio.NC/0611040]
56. J. Dunkel, P. Talkner, and P. Hänggi
    Relativistic diffusion processes and random walk models
    Phys. Rev. D 75, 043001 (2007), [arXiv:cond-mat/0608023]
57. H. Yasuda, T. Miyaoka, J. Horiguchi, A. Yasuda, P. Hänggi, and Y. Yamamoto
    Novel class of neural stochastic resonance and error-free information transfer
    Phys. Rev. Lett. 100, 118103 (2008)
58. P. S. Burada, G. Schmid, D. Reguera, M. H. Vainstein, J. M. Rubi, and P. Hänggi
    Entropic stochastic resonance
    Phys. Rev. Lett. 101, 130602 (2008), [arXiv:0807.2558]
59. A. Ochab-Marcinek, G. Schmid, I. Goychuk, and P. Hänggi
    Noise-assisted spike propagation in myelinated neurons
    Phys. Rev. E 79, 011904 (2009), [arXiv:0811.3371]
60. I. Goychuk and P. Hänggi
    Nonstationary stochastic resonance viewed through the lens of information theory
    Eur. Phys. J. B 69, 29–35 (2009), [arXiv:0901.4206]
61. P. S. Burada, G. Schmid, D. Reguera, J. M. Rubi, and P. Hänggi
    Entropic stochastic resonance: the constructive role of the unevenness
    Eur. Phys. J. B 69, 11–18 (2009), [arXiv:0902.4335]
62. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni
    Stochastic Resonance: A remarkable idea that changed our perception of noise
    Eur. Phys. J. B 69, 1–3 (2009)
63. P. S. Burada, G. Schmid, D. Reguera, J. M. Rubi, and P. Hänggi
    Double entropic stochastic resonance
    EPL 87, 50003 (2009), [arXiv:0908.3423]
64. Y. Li, G. Schmid, and P. Hänggi
    Noisy saltatory spike propagation: the breakdown of signal transmission due to channel noise
    Eur. Phys. J. - ST (Special Topics) 187, 171–177 (2010), [arXiv:1008.5251]
65. A. Pototsky, P. Hänggi, F. Marchesoni, and S. Savel'ev
    Temperature-resonant cyclotron spectra in confined geometries
    Phys. Rev. E 84, 011107 (2011), [arXiv:1105.4313]
66. A. Pototsky, F. Marchesoni, F. V. Kusmartsev, P. Hänggi, and S. E. Savel'ev
    Relativistic Brownian motion on a graphene chip
    Eur. Phys. J. B 85, 356 (2012), [arXiv:1103.0945]
67. L. Magazzu, P. Hänggi, B. Spagnolo, and D. Valenti
    Quantum resonant activation
    Phys. Rev. E 95, 042104 (2017), [arXiv:1701.04393]
68. T. Wagner, P. Talkner, J. C. Bayer, E. P. Rugeramigabo, P. Hänggi, and R. J. Haug
    Quantum stochastic resonance in an ac-driven single-electron quantum dot
    Nature Physics 15, 330–334 (2019)
69. S. Denisov, O. Vershinina, J. Thingna, P. Hänggi, and M. Ivanchenko
    Quasi-stationary states of game-driven systems: A dynamical approach
    Chaos 30, 123145 (2020), [arXiv:2006.10017]

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Hanggi@Physik.Uni-Augsburg.DE, Aug 8, 2024