Colored Noise, Nonmarkovian Dynamics

1. H. Grabert, P. Talkner, and P. Hänggi
   Microdynamics and Time-Evolution of Macroscopic Non-Markovian Systems
   Z. Physik B 26, 389–395 (1977)
2. P. Hänggi and H. Thomas
   Time Evolution, Correlations and Linear Response of Non-Markov Processes
   Z. Physik B 26, 85–92 (1977)
3. H. Grabert, P. Hänggi, and P. Talkner
   Non-Markovian Equilibrium Dynamics and Fluctuation-Dissipation Theorem
   Phys. Lett. A 66, 255–257 (1978)
4. H. Grabert, P. Talkner, P. Hänggi, and H. Thomas
   Microdynamics and Time-Evolution of Macroscopic Non-Markovian Systems II
   Z. Physik B 29, 273–280 (1978)
5. P. Hänggi
   Correlation Functions and Master Equations of Generalized Non-Markovian Langevin Equations
   Z. Physik B 31, 407–416 (1978)
6. P. Hänggi and P. Talkner
   On the Equivalence of Time-Convolutionless Master Equations and Generalized Langevin Equations
   Phys. Lett. A 68, 9–11 (1978)
7. P. Hänggi
   Nonlinear Effects of Colored Nonstationary Noise: Exact Results
   Phys. Lett. A 83, 196–198 (1981)
8. P. Hänggi, F. Marchesoni, and P. Grigolini
   Bistable Flow Driven by Colored Gaussian Noise: A Critical Study
   Z. Physik B 56, 333–339 (1984)
9. P. Hänggi
   Bistable Flows Driven by Colored Noise
   in: Fluctuations and Sensitivity in Nonequilibrium Systems, W. Horsthemke and D. K. Kondepudi, eds.
   Springer Proc. Phys., vol. 1, pp. 95–103, Springer-Verlag, Berlin (1984)
10. P. Hänggi, T. J. Mroczkowski, F. Moss, and P. V. E. McClintock
    Bistability Driven by Colored Noise: Theory and Experiment
    Phys. Rev. A 32, 695–698 (1985), Rapid Communication
11. P. Hänggi
    The Functional Derivative and its Use in the Description of Noisy Dynamical Systems
    in: Stochastic Processes Applied to Physics, L. Pesquera and M. Rodriguez, eds., pp. 69–95, World Scientific, U.S.-distr., Heyden, Philadelphia (1985)
12. P. Hänggi and F. Moss
    Optical Instabilities Driven by Colored Noise
    in: Optical Instabilities, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds.
    Cambridge Studies in Modern Optics, vol. 4, pp. 355–357, Cambridge University Press (1986)
13. P. Hänggi, F. Moss, and P. V. E. McClintock
    Bistability Driven by Colored Noise: Theory and Experiment
    in: Noise in Physical Systems and 1/f Noise, A. D'Amico and P. Mazzetti, eds., pp. 121–124, North Holland, Amsterdam (1986)
14. L. Fronzoni, P. Grigolini, P. Hänggi, F. Moss, R. Mannella, and P. V. E. McClintock
    Bistable Oscillator Dynamics Driven by Nonwhite Noise
    Phys. Rev. A 33, 3320–3327 (1986)
15. F. Moss, P. Hänggi, R. Mannella, and P. V. E. McClintock
    Stochastic Phase Portraits of a Damped Bistable Oscillator Driven by Colored Noise
    Phys. Rev. A 33, 4459–4461 (1986), Rapid Communication
16. P. Jung and P. Hänggi
    Dynamical Systems: A Unified Colored-Noise Approximation
    Phys. Rev. A 35, 4464–4466 (1987), Rapid Communication
17. K. Vogel, T. Leiber, H. Risken, P. Hänggi, and W. Schleich
    Locking Equation with Colored Noise: Continued Fraction Solution Versus Decoupling Theory
    Phys. Rev. A 35, 4882–4885 (1987), Rapid Communication
18. P. Jung and P. Hänggi
    Optical Instabilities: New Theories for Colored Noise Driven Laser Instabilities
    J. Opt. Soc. Am. B 5, 979–986 (1988)
19. P. Hänggi, P. Jung, and P. Talkner
    Comment on ``Bistability Driven By Weakly Colored Gaussian Noise: The Fokker-Planck Boundary Layer and Mean First Passage Times''
    Phys. Rev. Lett. 60, 2804–2804 (1988)
20. P. Jung and P. Hänggi
    Bistability and Colored Noise in Nonequilibrium Systems: Theory Versus Precise Numerics
    Phys. Rev. Lett. 61, 11–14 (1988)
21. M. James, F. Moss, P. Hänggi, and C. Van den Broeck
    Switching in the Presence of Colored Noise: The Decay of an Unstable State
    Phys. Rev. A 38, 4690–4695 (1988)
22. P. Hänggi
    Colored Noise in Continuous Dynamical Systems: A Functional Calculus Approach
    in: Noise in Nonlinear Dynamical Systems, vol. 1, F. Moss and P. V. E. McClintock, eds., chap. 9, pp. 307–328, Cambridge University Press (1989)
23. P. Hänggi
    Path Integral Solutions for non-Markovian Processes
    Z. Physik B 75, 275–281 (1989)
24. P. Jung, F. Marchesoni, and P. Hänggi
    Comment on ``Colored-Induced Transition to a Nonconventional Diffusion Regime''
    Phys. Rev. Lett. 63, 216–216 (1989)
25. P. Jung and P. Hänggi
    Reply on ``Bistability and Colored Noise in Non-equilibrium Systems: Theory versus Precise Numerics''
    Phys. Rev. Lett. 62, 1206–1206 (1989)
26. L. Hwalisz, P. Jung, P. Hänggi, P. Talkner, and L. Schimansky-Geier
    Colored Noise Driven Systems with Inertia
    Z. Physik B 77, 471–483 (1989)
27. P. Jung, P. Hänggi, and F. Marchesoni
    Colored-Noise-Driven Bistable Systems
    Phys. Rev. A 40, 5447–5450 (1989)
28. P. Hänggi
    Path Integral Solution for Nonlinear Generalized Langevin Equations
    in: Path Integrals from meV to MeV: Tutzing 1992, H. Grabert, A. Inomata, L. S. Schulman, and U. Weiss, eds., pp. 289–301, World Scientific, Singapore, London, Hong-Kong (1993)
29. P. Hänggi and P. Jung
    Colored Noise in Dynamical Systems
    Advances in Chemical Physics 89, 239–326 (1995)
30. A. J. R. Madureira, P. Jung, and P. Hänggi
    Dye Laser with Pump and Quantum Noise
    Phys. Rev. A 54, 755–759 (1996)
31. B. Lindner, L. Schimansky-Geier, P. Reimann, P. Hänggi, and M. Nagaoka
    Inertia Ratchets: A Precise Numerical Study Versus Theory
    Phys. Rev. E 59, 1417–1424 (1999)
32. G. J. Schmid, P. Reimann, and P. Hänggi
    Control of Reaction Rate by Asymmetric Two-State Noise
    J. Chem. Phys. 111, 3349–3356 (1999)
33. J. Luczka, P. Talkner, and P. Hänggi
    Diffusion of Brownian particles governed by fluctuating friction
    Physica A 278, 18–31 (1999)
34. I. Goychuk and P. Hänggi
    Non-Markovian Stochastic Resonance
    Phys. Rev. Lett. 91, 070601 (2003), [arXiv:cond-mat/0303413]
35. I. Goychuk and P. Hänggi
    Fractional diffusion modeling of ion channel gating
    Phys. Rev. E 70, 051915 (2004), [arXiv:physics/0407105]
36. J. Dunkel and P. Hänggi
    Theory of relativistic Brownian motion: The (1+1)-dimensional case
    Phys. Rev. E 71, 016124 (2005)
37. I. Goychuk and P. Hänggi
    Quantum dynamics in strong fluctuating fields
    Adv. Physics 54, 525–584 (2005), [arXiv:cond-mat/0510774]
38. J. D. Bao, P. Hänggi, and Y. Z. Zhuo
    Non-Markovian Brownian dynamics and nonergodicity
    Phys. Rev. E 72, 061107 (2005)
39. I. Goychuk and P. Hänggi
    Quantum two-state dynamics driven by stationary non-Markovian discrete noise: exact results
    Chem. Phys. 324, 160–171 (2006), [arXiv:cond-mat/0601219]
40. A. V. Mokshin, R. M. Yulmetyev, and P. Hänggi
    Diffusion processes and memory effects
    New J. Phys. 7, 9 (2005)
41. A. V. Mokshin, R. M. Yulmetyev, and P. Hänggi
    Simple Measure of Memory for Dynamical Processes Described by a Generalized Langevin Equation
    Phys. Rev. Lett. 95, 200601 (2005)
42. E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
    Fractional diffusion in periodic potentials
    J. Phys. - Condensed Matter 19, 065114 (2007), [arXiv:cond-mat/0604269]
43. E. Heinsalu, M. Patriarca, I. Goychuk, and P. Hänggi
    Use and abuse of a fractional Fokker-Planck dynamics for time-dependent driving
    Phys. Rev. Lett. 99, 120602 (2007), [arXiv:cond-mat/0703420]
44. P. Talkner, P. Hänggi, and M. Morillo
    Microcanonical quantum fluctuation theorems
    Phys. Rev. E 77, 051131 (2008), [arXiv:0707.2307]
45. P. Talkner, P. S. Burada, and P. Hänggi
    Statistics of work performed on a forced quantum oscillator
    Phys. Rev. E 78, 011115 (2008), [arXiv:0803.2808]
46. I. M. Sokolov, E. Heinsalu, P. Hänggi, and I. Goychuk
    Universal fluctuations in subdiffusive transport
    EPL 86, 30009 (2009), [arXiv:0811.4738]
47. P. Siegle, I. Goychuk, P. Talkner, and P. Hänggi
    Markovian embedding of non-Markovian superdiffusion
    Phys. Rev. E 81, 011136 (2010), [arXiv:0910.0393]
48. P. Siegle, I. Goychuk, and P. Hänggi
    Origin of hyperdiffusion in generalized Brownian motion
    Phys. Rev. Lett. 105, 100602 (2010), [arXiv:1008.1187]
49. V. Zaburdaev, S. Denisov, and P. Hänggi
    Perturbation spreading in many-particle systems: A random walk approach
    Phys. Rev. Lett. 106, 180601 (2011), [arXiv:1101.1839]
50. C. Weber, P. K. Radtke, L. Schimansky-Geier, and P. Hänggi
    Active motion assisted by correlated stochastic torques
    Phys. Rev. E 84, 011132 (2011), [arXiv:1105.3363]
51. I. Goychuk and P. Hänggi
    Subdiffusive dynamics in washboard potentials: two different approaches and different universality classes
    in: FRACTIONAL DYNAMICS: Recent Advances, J. Klafter, S. C. Lim, and R. Metzler, eds., World Scientific, Singapore (2011), [arXiv:1101.1812]
52. V. Zaburdaev, S. Denisov, and P. Hänggi
    Space-time velocity correlation function for random walks
    Phys. Rev. Lett. 110, 170604 (2013), [arXiv:1212.4451]
53. S. Liu, P. Hänggi, N. Li, J. Ren, and B. Li
    Anomalous heat diffusion
    Phys. Rev. Lett. 112, 040601 (2014), [arXiv:1306.3167]
54. A. Rebenshtok, S. Denisov, P. Hänggi, and E. Barkai
    Non-normalizable densities in strong anomalous diffusion: Beyond the central limit theorem
    Phys. Rev. Lett. 112, 110601 (2014), [arXiv:1312.3831]
55. A. Rebenshtok, S. Denisov, P. Hänggi, and E. Barkai
    Infinite densities for Levy walks
    Phys. Rev. E 90, 062135 (2014), [arXiv:1408.4479]
56. P. Talkner and P. Hänggi
    Open system trajectories specify fluctuating work but not heat
    Phys. Rev. E 94, 022143 (2016), [arXiv:1605.07415]
57. J. Spiechowicz, J. G. Marchenko, P. Hänggi, and J. Luczka
    Diffusion Coefficient of a Brownian Particle in Equilibrium and Nonequilibrium:Einstein Model and Beyond
    Entropy 25, 42 (2023), [arXiv:2211.14190]

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