Abstract
We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a certain symmetry in the Hamiltonian, which extends earlier work that has connected the large-deviation behavior of reversible stochastic processes to the gradient-flow structure of their deterministic limit. Natural examples of application include particle systems with inertia.
| Original language | English |
|---|---|
| Pages (from-to) | 139-170 |
| Number of pages | 32 |
| Journal | Stochastic Processes and their Applications |
| Volume | 130 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2020 |
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Keywords
- Dynamical large deviations
- Fluctuation symmetry
- GENERIC
- Gradient flow
Cite this
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Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation. / Kraaij, Richard C. (Corresponding author); Lazarescu, Alexandre; Maes, Christian; Peletier, Mark.
In: Stochastic Processes and their Applications, Vol. 130, No. 1, 01.2020, p. 139-170.Research output: Contribution to journal › Article › Academic › peer-review
TY - JOUR
T1 - Fluctuation symmetry leads to GENERIC equations with non-quadratic dissipation
AU - Kraaij, Richard C.
AU - Lazarescu, Alexandre
AU - Maes, Christian
AU - Peletier, Mark
PY - 2020/1
Y1 - 2020/1
N2 - We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a certain symmetry in the Hamiltonian, which extends earlier work that has connected the large-deviation behavior of reversible stochastic processes to the gradient-flow structure of their deterministic limit. Natural examples of application include particle systems with inertia.
AB - We develop a formalism to discuss the properties of GENERIC systems in terms of corresponding Hamiltonians that appear in the characterization of large-deviation limits. We demonstrate how the GENERIC structure naturally arises from a certain symmetry in the Hamiltonian, which extends earlier work that has connected the large-deviation behavior of reversible stochastic processes to the gradient-flow structure of their deterministic limit. Natural examples of application include particle systems with inertia.
KW - Dynamical large deviations
KW - Fluctuation symmetry
KW - GENERIC
KW - Gradient flow
UR - http://www.scopus.com/inward/record.url?scp=85062477331&partnerID=8YFLogxK
U2 - 10.1016/j.spa.2019.02.001
DO - 10.1016/j.spa.2019.02.001
M3 - Article
AN - SCOPUS:85062477331
VL - 130
SP - 139
EP - 170
JO - Stochastic Processes and their Applications
JF - Stochastic Processes and their Applications
SN - 0304-4149
IS - 1
ER -