DOI: 10.1063/1.166369. (Global and local) fluctuations of phase space contraction in deterministic stationary nonequilibrium

(Global and local) fluctuations of phase space contraction in deterministic stationary nonequilibrium

10.1063/1.166369

Crossref journal-article

AIP Publishing

Chaos: An Interdisciplinary Journal of Nonlinear Science (317)

Abstract

We studied numerically the validity of the fluctuation relation introduced in Evans et al. [Phys. Rev. Lett. 71, 2401–2404 (1993)] and proved under suitable conditions by Gallavotti and Cohen [J. Stat. Phys. 80, 931–970 (1995)] for a two-dimensional system of particles maintained in a steady shear flow by Maxwell demon boundary conditions [Chernov and Lebowitz, J. Stat. Phys. 86, 953–990 (1997)]. The theorem was found to hold if one considers the total phase space contraction σ occurring at collisions with both walls: σ=σ↑+σ↓. An attempt to extend it to more local quantities σ↑ and σ↓, corresponding to the collisions with the top or bottom wall only, gave negative results. The time decay of the correlations in σ↑,↓ was very slow compared to that of σ.

Bibliography

Bonetto, F., Chernov, N. I., & Lebowitz, J. L. (1998). (Global and local) fluctuations of phase space contraction in deterministic stationary nonequilibrium. Chaos: An Interdisciplinary Journal of Nonlinear Science, 8(4), 823â833.

Authors 3

F. Bonetto (first)
N. I. Chernov (additional)
J. L. Lebowitz (additional)

References 14 Referenced 34

10.1209/0295-5075/14/6/002 / Europhys. Lett. / Correlations in stationary nonequilibrium systems with conservative anisotropic dynamics (1991)
10.1007/BF02099293 / Commun. Math. Phys. / Lattice gas model in contact with stochastic reservoirs: Local equilibrium and relaxation to steady states (1991)
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{'key': '2024020122371105300_r4'}
10.1007/BF02179860 / J. Stat. Phys. / Dynamical ensemble in a stationary state (1995)
10.1007/BF02183610 / J. Stat. Phys. / Stationary nonequilibrium states for boundary driven Hamiltonian systems (1997)
10.1103/PhysRevLett.71.2401 / Phys. Rev. Lett. / Probability of second law violations in shearing steady flows (1993)
10.1023/B:JOSS.0000015174.26700.7e / J. Stat. Phys. / Lyapinov instability of the boundary driven Chernov-Lebowitz model for stationary shear flow (1997)
10.1016/S0167-2789(97)00007-9 / Physica D / Chaotic principle: an experimental test (1997)
10.1103/PhysRevLett.77.4334 / Phys. Rev. Lett. / Extension of the Onsager reciprocity to large field and the chaotic hypothesis (1996)
10.1007/s002200050200 / Commun. Math. Phys. / Chaotic principle, reversibility and coarse graining (1997)
S. Lepri , R. Livi, and A. Politi, “Energy transport in anharmonic lattice close and far from equilibrium,” preprint, archived in xxx.lanl.gov cond-mat/9709195.
{'key': '2024020122371105300_r13'}

Dates

Type	When
Created	23 years ago (July 26, 2002, 8:36 a.m.)
Deposited	1 year, 6 months ago (Feb. 1, 2024, 6:22 p.m.)
Indexed	1 month, 2 weeks ago (July 7, 2025, 4:24 a.m.)
Issued	26 years, 8 months ago (Dec. 1, 1998)
Published	26 years, 8 months ago (Dec. 1, 1998)
Published Print	26 years, 8 months ago (Dec. 1, 1998)

Funders 0

None

BibTeX

@article{Bonetto_1998, title={(Global and local) fluctuations of phase space contraction in deterministic stationary nonequilibrium}, volume={8}, ISSN={1089-7682}, url={http://dx.doi.org/10.1063/1.166369}, DOI={10.1063/1.166369}, number={4}, journal={Chaos: An Interdisciplinary Journal of Nonlinear Science}, publisher={AIP Publishing}, author={Bonetto, F. and Chernov, N. I. and Lebowitz, J. L.}, year={1998}, month=dec, pages={823–833} }

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