-
1
-
-
0003582543
-
-
Cambridge University Press, Cambridge
-
E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, 1993).
-
(1993)
Chaos in Dynamical Systems
-
-
Ott, E.1
-
3
-
-
0000693550
-
Viscosity of a simple fluid from its maximal Lyapunov exponents
-
D. J. Evans, E. G. D. Cohen, and G. P. Morriss, Viscosity of a simple fluid from its maximal Lyapunov exponents, Phys. Rev. A 42:5990 (1990).
-
(1990)
Phys. Rev. A
, vol.42
, pp. 5990
-
-
Evans, D.J.1
Cohen, E.G.D.2
Morriss, G.P.3
-
4
-
-
58149319056
-
Transport coefficients and Lyapunov exponents
-
E. G. D. Cohen, Transport coefficients and Lyapunov exponents, Physica A 213:293 (1995).
-
(1995)
Physica A
, vol.213
, pp. 293
-
-
Cohen, E.G.D.1
-
5
-
-
0003103737
-
Lyapunov spectrum and the conjugate pairing rule for a thermostated random Lorentz gas: Numerical simulations
-
Ch. Dellago and H. A. Posch, Lyapunov spectrum and the conjugate pairing rule for a thermostated random Lorentz gas: Numerical simulations, Phys. Rev. Lett. 78:211 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 211
-
-
Dellago, Ch.1
Posch, H.A.2
-
6
-
-
0000113173
-
Thermostating by deterministic scattering: Heat and shear flow
-
C. Wagner, R. Klages, and G. Nicolis, Thermostating by deterministic scattering: Heat and shear flow, Phys. Rev. E 60:1401 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 1401
-
-
Wagner, C.1
Klages, R.2
Nicolis, G.3
-
7
-
-
6144222097
-
Steady-state electrical-conduction in the periodic Lorentz gas
-
N. I. Chernov, G. L. Eyink, J. L. Lebowitz, and Ya. G. Sinai, Steady-state electrical-conduction in the periodic Lorentz gas, Comm. Math. Phys. 154:569 (1993).
-
(1993)
Comm. Math. Phys.
, vol.154
, pp. 569
-
-
Chernov, N.I.1
Eyink, G.L.2
Lebowitz, J.L.3
Sinai, Ya.G.4
-
8
-
-
5344267451
-
Proof of Lyapunov exponent pairing for systems at constant kinetic energy
-
C. Dettmann and G. P. Morriss, Proof of Lyapunov exponent pairing for systems at constant kinetic energy, Phys. Rev. E 53:R5545 (1996).
-
(1996)
Phys. Rev. E
, vol.53
-
-
Dettmann, C.1
Morriss, G.P.2
-
9
-
-
0000440195
-
Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities
-
H. van Beijeren and J. R. Dorfman, Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities, Phys. Rev. Lett. 74:4412 (1995); and Erratum: H. van Beijeren and J. R. Dorfman, Erratum to: Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities, Phys. Rev. Lett. 76:3238 (1996).
-
(1995)
Phys. Rev. Lett.
, vol.74
, pp. 4412
-
-
Van Beijeren, H.1
Dorfman, J.R.2
-
10
-
-
85204084943
-
Erratum to: Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities
-
H. van Beijeren and J. R. Dorfman, Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities, Phys. Rev. Lett. 74:4412 (1995); and Erratum: H. van Beijeren and J. R. Dorfman, Erratum to: Lyapunov exponents and Kolmogorov-Sinai entropy for the Lorentz gas at low densities, Phys. Rev. Lett. 76:3238 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 3238
-
-
Van Beijeren, H.1
Dorfman, J.R.2
-
11
-
-
0000089036
-
Lyapunov exponents from kinetic theory for a dilute, field-driven Lorentz gas
-
H. van Beijeren, J. R. Dorfman, E. G. D. Cohen, Ch. Dellago, and H. A. Posch, Lyapunov exponents from kinetic theory for a dilute, field-driven Lorentz gas, Phys. Rev. Lett. 77: 1974 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 1974
-
-
Van Beijeren, H.1
Dorfman, J.R.2
Cohen, E.G.D.3
Dellago, Ch.4
Posch, H.A.5
-
13
-
-
85204050947
-
-
J. R. Dorfman and H. van Beijeren, Dynamical systems theory and transport coefficients: A survey with applications to Lorentz gases, in Proceedings of the Euroconference on The Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon, 1996, M. Mareschal (ed.), Physica A 240:12 (1997).
-
(1997)
Physica A
, vol.240
, pp. 12
-
-
Mareschal, M.1
-
14
-
-
0000140785
-
Kolmogorov-Sinai entropy for dilute gases in equilibrium
-
H. van Beijeren, J. R. Dorfman, Ch. Dellago, and H. A. Posch, Kolmogorov-Sinai entropy for dilute gases in equilibrium, Phys. Rev. E 56:5272 (1997).
-
(1997)
Phys. Rev. E
, vol.56
, pp. 5272
-
-
Van Beijeren, H.1
Dorfman, J.R.2
Dellago, Ch.3
Posch, H.A.4
-
15
-
-
0001501185
-
Lyapunov spectrum and the conjugate pairing rule for a thermostated random Lorentz gas: Kinetic theory
-
A. Latz, H. van Beijeren, and J. R. Dorfman, Lyapunov spectrum and the conjugate pairing rule for a thermostated random Lorentz gas: Kinetic theory, Phys. Rev. Lett. 78:207 (1997).
-
(1997)
Phys. Rev. Lett.
, vol.78
, pp. 207
-
-
Latz, A.1
Van Beijeren, H.2
Dorfman, J.R.3
-
16
-
-
0001618241
-
Chaotic properties of dilute two- and three-dimensional random lorentz gases: Equilibrium systems
-
H. van Beijeren, A. Latz, and J. R. Dorfman, Chaotic properties of dilute two- and three-dimensional random lorentz gases: Equilibrium systems, Phys. Rev. E 57:4077 (1998).
-
(1998)
Phys. Rev. E
, vol.57
, pp. 4077
-
-
Van Beijeren, H.1
Latz, A.2
Dorfman, J.R.3
-
17
-
-
0000598525
-
Deterministic chaos and the foundations of the kinetic theory of gases
-
J. R. Dorfman, Deterministic chaos and the foundations of the kinetic theory of gases, Phys. Rep. 301:151 (1998).
-
(1998)
Phys. Rep.
, vol.301
, pp. 151
-
-
Dorfman, J.R.1
-
19
-
-
0034342452
-
Long-time-tail effects on Lyapunov exponents of a random, two-dimensional, field-driven Lorentz gas
-
D. Panja, J. R. Dorfman, and H. van Beijeren, Long-time-tail effects on Lyapunov exponents of a random, two-dimensional, field-driven Lorentz gas, J. Stat. Phys. 100:279 (2000).
-
(2000)
J. Stat. Phys.
, vol.100
, pp. 279
-
-
Panja, D.1
Dorfman, J.R.2
Van Beijeren, H.3
-
21
-
-
0001685304
-
Largest Lyapunov exponent for many particle systems at low densities
-
R. van Zon, H. van Beijeren, and Ch. Dellago, Largest Lyapunov exponent for many particle systems at low densities, Phys. Rev. Lett. 80:2035 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 2035
-
-
Van Zon, R.1
Van Beijeren, H.2
Dellago, Ch.3
-
22
-
-
0141619452
-
Kinetic theory of dynamical systems
-
J. Karkheck, ed. (Kluwer)
-
R. van Zon, H. van Beijeren, and J. R. Dorfman, Kinetic theory of dynamical systems, in Proceedings of the NATO ASI on Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems, J. Karkheck, ed. (Kluwer, 2000), p. 131.
-
(2000)
Proceedings of the NATO ASI on Dynamics: Models and Kinetic Methods for Non-equilibrium Many Body Systems
, pp. 131
-
-
Van Zon, R.1
Van Beijeren, H.2
Dorfman, J.R.3
-
23
-
-
85204044586
-
-
in ref. 2
-
R. van Zon, H. van Beijeren, and J. R. Dorfman, Kinetic theory estimates for the Kolmogorov-Sinai entropy, and the largest Lyapunov exponent for dilute, hud-sphere gases and for dilute, random Lorentz gases, in ref. 2, pp. 231-278.
-
Kinetic Theory Estimates for the Kolmogorov-Sinai Entropy, and the Largest Lyapunov Exponent for Dilute, Hud-Sphere Gases and for Dilute, Random Lorentz Gases
, pp. 231-278
-
-
Van Zon, R.1
Van Beijeren, H.2
Dorfman, J.R.3
-
24
-
-
0041192960
-
Bogoliubov-Born-Green Kirkwood Yvon hierarchy methods for sums of Lyapunov exponents for dilute gases
-
J. R. Dorfman, A. Latz, and H. van Beijeren, Bogoliubov-Born-Green Kirkwood Yvon hierarchy methods for sums of Lyapunov exponents for dilute gases, Chaos 8:444 (1998).
-
(1998)
Chaos
, vol.8
, pp. 444
-
-
Dorfman, J.R.1
Latz, A.2
Van Beijeren, H.3
-
26
-
-
3743079140
-
Front propagation into unstable states: Marginal stability as a dynamical mechanism for velocity selection
-
W. van Saarloos, Front propagation into unstable states: Marginal stability as a dynamical mechanism for velocity selection, Phys. Rev. A 37:211 (1988).
-
(1988)
Phys. Rev. A
, vol.37
, pp. 211
-
-
Van Saarloos, W.1
-
27
-
-
0000105085
-
Universal algebraic relaxation of fronts propagating into an unstable state and implications for moving boundary approximations
-
U. Ebert and W. van Saarloos, Universal algebraic relaxation of fronts propagating into an unstable state and implications for moving boundary approximations, Phys. Rev. Lett. 80:1650 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 1650
-
-
Ebert, U.1
Van Saarloos, W.2
-
28
-
-
0039149429
-
Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts
-
U. Ebert and W. van Saarloos, Front propagation into unstable states: Universal algebraic convergence towards uniformly translating pulled fronts, Physica D 146:1 (2000).
-
(2000)
Physica D
, vol.146
, pp. 1
-
-
Ebert, U.1
Van Saarloos, W.2
-
29
-
-
6144292336
-
Chaotic scattering theory, thermodynamic formalism, and transport coefficients
-
P. Gaspard and J. R. Dorfman, Chaotic scattering theory, thermodynamic formalism, and transport coefficients, Phys. Rev. E 52:3525 (1995).
-
(1995)
Phys. Rev. E
, vol.52
, pp. 3525
-
-
Gaspard, P.1
Dorfman, J.R.2
-
30
-
-
5344252330
-
Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steady states
-
Ch. Dellago, H. A. Posch, and W. G. Hoover, Lyapunov instability in a system of hard disks in equilibrium and nonequilibrium steady states, Phys. Rev. E 53:1485 (1996).
-
(1996)
Phys. Rev. E
, vol.53
, pp. 1485
-
-
Dellago, Ch.1
Posch, H.A.2
Hoover, W.G.3
-
31
-
-
7544220267
-
The computer study of transport processes under extreme conditions
-
A. W. Lees and S. F. Edwards, The computer study of transport processes under extreme conditions, J. Phys. C 5:1921 (1972).
-
(1972)
J. Phys. C
, vol.5
, pp. 1921
-
-
Lees, A.W.1
Edwards, S.F.2
-
32
-
-
0001874105
-
Equivalence of thermostatted nonlinear responses
-
D. J. Evans and S. Sarman, Equivalence of thermostatted nonlinear responses, Phys. Rev. E 48:65 (1993).
-
(1993)
Phys. Rev. E
, vol.48
, pp. 65
-
-
Evans, D.J.1
Sarman, S.2
-
33
-
-
0000205371
-
The behavior of a Gaussian thermostat in sheared systems near the thermodynamic limit
-
R. van Zon, The behavior of a Gaussian thermostat in sheared systems near the thermodynamic limit, Phys. Rev. E 60:4158 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 4158
-
-
Van Zon, R.1
-
35
-
-
85204041609
-
Symplectic properties of algorithms and simulation methods
-
D. J. Isbister, D. J. Searles, and D. J. Evans, Symplectic properties of algorithms and simulation methods, in Proceedings of the Euroconference on The Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon, 1996, M. Mareschal (ed.), Physica A 240:105 (1997). D. J. Searles, D. J. Evans, and D. J. Isbister, The conjugate-pairing rule for non-Hamiltonian systems, Chaos 8:337 (1998). But see also G. P. Morriss, Conjugate pairing of Lyapunov exponents for isokinetic shear flow algorithms, Phys. Rev. E 65:017201 (2002).
-
(1996)
Proceedings of the Euroconference on the Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon
-
-
Isbister, D.J.1
Searles, D.J.2
Evans, D.J.3
-
36
-
-
85204078341
-
-
D. J. Isbister, D. J. Searles, and D. J. Evans, Symplectic properties of algorithms and simulation methods, in Proceedings of the Euroconference on The Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon, 1996, M. Mareschal (ed.), Physica A 240:105 (1997). D. J. Searles, D. J. Evans, and D. J. Isbister, The conjugate-pairing rule for non-Hamiltonian systems, Chaos 8:337 (1998). But see also G. P. Morriss, Conjugate pairing of Lyapunov exponents for isokinetic shear flow algorithms, Phys. Rev. E 65:017201 (2002).
-
(1997)
Physica A
, vol.240
, pp. 105
-
-
Mareschal, M.1
-
37
-
-
0001028114
-
The conjugate-pairing rule for non-Hamiltonian systems
-
D. J. Isbister, D. J. Searles, and D. J. Evans, Symplectic properties of algorithms and simulation methods, in Proceedings of the Euroconference on The Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon, 1996, M. Mareschal (ed.), Physica A 240:105 (1997). D. J. Searles, D. J. Evans, and D. J. Isbister, The conjugate-pairing rule for non-Hamiltonian systems, Chaos 8:337 (1998). But see also G. P. Morriss, Conjugate pairing of Lyapunov exponents for isokinetic shear flow algorithms, Phys. Rev. E 65:017201 (2002).
-
(1998)
Chaos
, vol.8
, pp. 337
-
-
Searles, D.J.1
Evans, D.J.2
Isbister, D.J.3
-
38
-
-
37649032424
-
-
D. J. Isbister, D. J. Searles, and D. J. Evans, Symplectic properties of algorithms and simulation methods, in Proceedings of the Euroconference on The Microscopic Approach to Complexity in Non-Equilibrium Molecular Simulations CECAM at ENS-Lyon, 1996, M. Mareschal (ed.), Physica A 240:105 (1997). D. J. Searles, D. J. Evans, and D. J. Isbister, The conjugate-pairing rule for non-Hamiltonian systems, Chaos 8:337 (1998). But see also G. P. Morriss, Conjugate pairing of Lyapunov exponents for isokinetic shear flow algorithms, Phys. Rev. E 65:017201 (2002).
-
(2002)
Phys. Rev. E
, vol.65
, pp. 017201
-
-
Morriss, G.P.1
-
39
-
-
41349083916
-
Lyapunov exponent pairing for a thermostatted hard-sphere gas under shear in the thermodynamic limit
-
D. Panja and R. van Zon, Lyapunov exponent pairing for a thermostatted hard-sphere gas under shear in the thermodynamic limit, Phys. Rev. E 65:060102(R) (2002).
-
(2002)
Phys. Rev. E
, vol.65
-
-
Panja, D.1
Van Zon, R.2
-
40
-
-
85204051565
-
-
Ph.D. thesis, Utrecht University
-
R. van Zon, Ph.D. thesis, Utrecht University, 2000.
-
(2000)
-
-
Van Zon, R.1
|