TY - JOUR
T1 - Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale
AU - Mazzuca, Guido
AU - Grava, Tamara
AU - Kriecherbauer, Thomas
AU - McLaughlin, Kenneth T.R.
AU - Mendl, Christian B.
AU - Spohn, Herbert
N1 - Publisher Copyright:
© 2023, The Author(s).
PY - 2023/8
Y1 - 2023/8
N2 - We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed numerically over a wide range of pressure and temperature. Our numerical results are compared with the predictions from linearized generalized hydrodynamics on the Euler scale. The system size is N= 3000 , 4000 and time t= 600 , at which ballistic scaling is well confirmed. With no adjustable parameters, the numerically obtained scaling functions agree with the theory within a precision of less than 3.5%.
AB - We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed numerically over a wide range of pressure and temperature. Our numerical results are compared with the predictions from linearized generalized hydrodynamics on the Euler scale. The system size is N= 3000 , 4000 and time t= 600 , at which ballistic scaling is well confirmed. With no adjustable parameters, the numerically obtained scaling functions agree with the theory within a precision of less than 3.5%.
KW - Correlation functions
KW - Generalized hydrodynamics
KW - Integrable systems
KW - Toda lattice
UR - http://www.scopus.com/inward/record.url?scp=85169149717&partnerID=8YFLogxK
U2 - 10.1007/s10955-023-03155-x
DO - 10.1007/s10955-023-03155-x
M3 - Article
AN - SCOPUS:85169149717
SN - 0022-4715
VL - 190
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 8
M1 - 149
ER -