Magnetic flows and Gaussian thermostats on manifolds of negative curvature

Maciej Wojtkowski

Fundamenta Mathematicae (2000)

  • Volume: 163, Issue: 2, page 177-191
  • ISSN: 0016-2736

Abstract

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We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.

How to cite

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Wojtkowski, Maciej. "Magnetic flows and Gaussian thermostats on manifolds of negative curvature." Fundamenta Mathematicae 163.2 (2000): 177-191. <http://eudml.org/doc/212437>.

@article{Wojtkowski2000,
abstract = {We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.},
author = {Wojtkowski, Maciej},
journal = {Fundamenta Mathematicae},
keywords = {magnetic flows; Gaussian thermostats; negative curvature; Anosov flows; Hamiltonian flow; symplectic structure},
language = {eng},
number = {2},
pages = {177-191},
title = {Magnetic flows and Gaussian thermostats on manifolds of negative curvature},
url = {http://eudml.org/doc/212437},
volume = {163},
year = {2000},
}

TY - JOUR
AU - Wojtkowski, Maciej
TI - Magnetic flows and Gaussian thermostats on manifolds of negative curvature
JO - Fundamenta Mathematicae
PY - 2000
VL - 163
IS - 2
SP - 177
EP - 191
AB - We consider a class of flows which includes both magnetic flows and Gaussian thermostats of external fields. We give sufficient conditions for such flows on manifolds of negative sectional curvature to be Anosov.
LA - eng
KW - magnetic flows; Gaussian thermostats; negative curvature; Anosov flows; Hamiltonian flow; symplectic structure
UR - http://eudml.org/doc/212437
ER -

References

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  13. [P-P] G. P. Paternain and M. Paternain, Anosov geodesic flows and twisted symplectic structures, in: Dynamical Systems (Montevideo, 1995), Pitman Res. Notes Math. 362, Longman, 1996, 132-145. Zbl0868.58062
  14. [R] D. Ruelle, Positivity of entropy production in nonequilibrium statistical mechanics, J. Statist. Phys. 85 (1996), 1-23. Zbl0973.37014
  15. [V] I. Vaisman, Locally conformal symplectic manifolds, Internat. J. Math. Math. Sci. 8 (1985), 521-536. Zbl0585.53030
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  17. [W-L] M. P. Wojtkowski and C. Liverani, Conformally symplectic dynamics and symmetry of the Lyapunov spectrum, Comm. Math. Phys. 194 (1998), 47-60. Zbl0951.37016

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