TY - JOUR
T1 - Localization and coherence in nonintegrable systems
AU - Rumpf, Benno
AU - Newell, Alan C.
N1 - Funding Information:
BR gratefully acknowledges support by a grant of German Academic Exchange Service (DAAD). ACN gratefully acknowledges support from NSF grant DMS 0072803.
PY - 2003/10/1
Y1 - 2003/10/1
N2 - We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asymptotic states. In systems constrained by more than one conserved quantity, the partitioning of the conserved quantities leads naturally to localized and coherent structures. If the phase space is compact, the final equilibrium state is governed by entropy maximization and the coherent structures are stable lumps. In systems where the phase space is not compact, the coherent structures can be collapsed, represented in phase space by a heteroclinic connection of some unstable saddle to infinity.
AB - We study the irreversible dynamics of nonlinear, nonintegrable Hamiltonian oscillator chains approaching their statistical asymptotic states. In systems constrained by more than one conserved quantity, the partitioning of the conserved quantities leads naturally to localized and coherent structures. If the phase space is compact, the final equilibrium state is governed by entropy maximization and the coherent structures are stable lumps. In systems where the phase space is not compact, the coherent structures can be collapsed, represented in phase space by a heteroclinic connection of some unstable saddle to infinity.
KW - Localized structures
KW - Statistical physics
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U2 - 10.1016/S0167-2789(03)00220-3
DO - 10.1016/S0167-2789(03)00220-3
M3 - Article
AN - SCOPUS:0141754164
VL - 184
SP - 162
EP - 191
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
SN - 0167-2789
IS - 1-4
ER -