-
1
-
-
12344271673
-
-
10.1143/JPSJ.12.570;
-
R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957) 10.1143/JPSJ.12.570
-
(1957)
J. Phys. Soc. Jpn.
, vol.12
, pp. 570
-
-
Kubo, R.1
-
3
-
-
0000144241
-
-
10.1103/PhysRev.135.A1505
-
J. M. Luttinger, Phys. Rev. 135, A1505 (1964). 10.1103/PhysRev.135.A1505
-
(1964)
Phys. Rev.
, vol.135
, pp. 1505
-
-
Luttinger, J.M.1
-
4
-
-
85041148459
-
-
Addison Wesley, Indiana, Lebanon
-
D. Forster, Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions (Addison Wesley, Indiana, Lebanon, 1975).
-
(1975)
Hydrodynamic Fluctuations, Broken Symmetry, and Correlation Functions
-
-
Forster, D.1
-
5
-
-
68949085203
-
-
It is easy to prove that the time average of the two currents is the same when a small temperature difference is applied across the system. Here we are considering the conductivity as obtained from the equilibrium correlations. As discussed later in the paper, this involves calculating the ∼O (τ) fluctuations in the current integrated over a time τ, which is more delicate than the O (τ) part of the out-of-equilibrium integral.
-
It is easy to prove that the time average of the two currents is the same when a small temperature difference is applied across the system. Here we are considering the conductivity as obtained from the equilibrium correlations. As discussed later in the paper, this involves calculating the ∼O (τ) fluctuations in the current integrated over a time τ, which is more delicate than the O (τ) part of the out-of-equilibrium integral.
-
-
-
-
11
-
-
0000642229
-
-
10.1103/PhysRevLett.77.4334
-
G. Gallavotti, Phys. Rev. Lett. 77, 4334 (1996). 10.1103/PhysRevLett.77. 4334
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 4334
-
-
Gallavotti, G.1
-
14
-
-
68949092121
-
-
LA-1940
-
E. Fermi, J. Pasta, and S. Ulam, in, Los Alamos Scientific Laboratory Report No. LA-1940, 1955 (unpublished).
-
(1955)
-
-
Fermi, E.1
Pasta, J.2
Ulam, S.3
-
18
-
-
0038394483
-
-
10.1103/PhysRevE.67.015203;
-
G. Casati and T. Prosen, Phys. Rev. E 67, 015203 (R) (2003) 10.1103/PhysRevE.67.015203
-
(2003)
Phys. Rev. e
, vol.67
, pp. 015203
-
-
Casati, G.1
Prosen, T.2
-
19
-
-
0347565960
-
-
10.1103/PhysRevE.68.041203;
-
J. M. Deutsch and O. Narayan, Phys. Rev. E 68, 041203 (2003) 10.1103/PhysRevE.68.041203
-
(2003)
Phys. Rev. e
, vol.68
, pp. 041203
-
-
Deutsch, J.M.1
Narayan, O.2
-
21
-
-
33745020913
-
-
10.1103/PhysRevE.73.061202;
-
T. Mai and O. Narayan, Phys. Rev. E 73, 061202 (2006) 10.1103/PhysRevE.73.061202
-
(2006)
Phys. Rev. e
, vol.73
, pp. 061202
-
-
Mai, T.1
Narayan, O.2
-
23
-
-
0032142619
-
-
10.1209/epl/i1998-00352-3;
-
S. Lepri, R. Livi, and A. Politi, EPL 43, 271 (1998) 10.1209/epl/i1998- 00352-3
-
(1998)
EPL
, vol.43
, pp. 271
-
-
Lepri, S.1
Livi, R.2
Politi, A.3
-
25
-
-
42749102042
-
-
10.1088/1742-5468/2007/02/P02007;
-
L. Delfini, S. Lepri, R. Livi, and A. Politi, J. Stat. Mech.: Theory Exp. (2007), P02007 10.1088/1742-5468/2007/02/P02007
-
J. Stat. Mech.: Theory Exp.
, vol.2007
, pp. 02007
-
-
Delfini, L.1
Lepri, S.2
Livi, R.3
Politi, A.4
-
26
-
-
33745018837
-
-
10.1103/PhysRevE.73.060201;
-
L. Delfini, S. Lepri, R. Livi, and A. Politi, Phys. Rev. E 73, 060201 (R) (2006) 10.1103/PhysRevE.73.060201
-
(2006)
Phys. Rev. e
, vol.73
, pp. 060201
-
-
Delfini, L.1
Lepri, S.2
Livi, R.3
Politi, A.4
-
27
-
-
43749098062
-
-
10.1103/PhysRevLett.100.199401;
-
L. Delfini, S. Lepri, R. Livi, and A. Politi, Phys. Rev. Lett. 100, 199401 (2008) 10.1103/PhysRevLett.100.199401
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 199401
-
-
Delfini, L.1
Lepri, S.2
Livi, R.3
Politi, A.4
-
28
-
-
43949128777
-
-
10.1103/PhysRevLett.100.199402
-
A. Dhar and O. Narayan, Phys. Rev. Lett. 100, 199402 (2008). 10.1103/PhysRevLett.100.199402
-
(2008)
Phys. Rev. Lett.
, vol.100
, pp. 199402
-
-
Dhar, A.1
Narayan, O.2
-
29
-
-
3543083566
-
-
10.1103/PhysRevLett.91.044301;
-
B. Li and J. Wang, Phys. Rev. Lett. 91, 044301 (2003) 10.1103/PhysRevLett.91.044301
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 044301
-
-
Li, B.1
Wang, J.2
-
30
-
-
1642585861
-
-
10.1103/PhysRevLett.92.074302;
-
J. S. Wang and B. Li, Phys. Rev. Lett. 92, 074302 (2004) 10.1103/PhysRevLett.92.074302
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 074302
-
-
Wang, J.S.1
Li, B.2
-
31
-
-
42749107130
-
-
10.1103/PhysRevE.70.021204
-
J. S. Wang and B. Li, Phys. Rev. E 70, 021204 (2004). 10.1103/PhysRevE.70.021204
-
(2004)
Phys. Rev. e
, vol.70
, pp. 021204
-
-
Wang, J.S.1
Li, B.2
-
32
-
-
68949107659
-
-
In a hydrodynamic description, the displacement of the particles from their lattice positions is a function of the density, which is a conserved quantity in the longitudinal interpretation; in the transverse interpretation it is a broken symmetry (even though there is no long-range order in the chain). Therefore in both interpretations, the displacement is associated with a hydrodynamic variable, though the cause is different.
-
In a hydrodynamic description, the displacement of the particles from their lattice positions is a function of the density, which is a conserved quantity in the longitudinal interpretation; in the transverse interpretation it is a broken symmetry (even though there is no long-range order in the chain). Therefore in both interpretations, the displacement is associated with a hydrodynamic variable, though the cause is different.
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