Time evolution, correlations, and linear response of non-Markov processes
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For a non-Markovian process, a matrix Λ(t,s) satisfying Eq. (9) may exist, but it is not the conditional transition probability of the process.
“Indeed, for a given process one might find a matrix Λ ( t, s ) satisfying Eq. (9) even if the process is non-Markovian, however in this case the matrix is not the conditional transition probability of the process [27, 28].”
From Markovianity and non-Markovianity in quantum and classical systems (2011) · cites this paper as [28]
Cites
Memory Effects in Irreversible Thermodynamics
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Cooperative phenomena in systems far from thermal equilibrium and in nonphysical systems
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Time dependent correlation functions and mode-mode coupling theories
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Statistical Treatment of Open Systems by Generalized Master Equations
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Generalized-master-equation theory of excitation transfer
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Fokker–Planck equations for simple non-Markovian systems
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Statistical treatment of open systems by generalized master equations
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On Nonlinear Dynamics of Fluctuations
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Linear response and fluctuation theorems for nonstationary stochastic processes
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Self-citationOn a non-Markoffian master equation
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On the Fokker-Planck equation for the linear chain
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Microscopic theory of brownian motion: Mori friction kernel and langevin-equation derivation
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Some properties of Fokker-Planck equations with memory under detailed balance
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Stochastic processes: Time evolution, symmetries and linear response
Hänggi, P., & Thomas, H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90045-x · Cited by 659 · see citing works
Self-citation
- Authors
- H�nggi, P., & Thomas, H.
- Affiliations
- University of Basel (CH)
- Venue
- Zeitschrift f�r Physik B Condensed Matter and Quanta
- Published
- 1977-03
- Volume
- 26
- Issue
- 1
- Pages
- 85-92
- ISSN
- 1434-6028 (ISSN-L)
- 0340-224X
- 1434-6036
- OpenAlex
- W2073288894
- Cited by
- 125
- References
- 16
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 3 · 2023: 3 · 2022: 5 · 2021: 4 · 2020: 4 · 2019: 11 · 2018: 4 · 2017: 4 · 2016: 6 · 2015: 5 · 2014: 8 · 2013: 3 · 2012: 6
- FWCI
- 4.80
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- The European Physical Journal B (publishedVersion)
- OPUS (Augsburg University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Physical Sciences › Mathematics › Mathematical Physics › Stochastic processes and statistical mechanics
- Keywords
- non-Markovian processes, time evolution, time correlation functions, linear response theory, time-convolutionless master equation, open systems, response functions, Gaussian processes
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