TY - JOUR
T1 - Dynamics of nonlinear mass-spring chains near the continuum limit
AU - Rosenau, Philip
PY - 1986/10/20
Y1 - 1986/10/20
N2 - We study the dynamics of mass-spring chains with arbitrary interparticle and substrate potentials and describe a systematic approach to derive the equations of motion near the continuum limit. Our method, which applies both to strictly one-dimensional problems and to one-dimensional chains free to move in three dimensions, correctly captures all terms to given order in discreteness and allows us to formulate well-behaved nonlinear partial differential equations for these systems. We re-examine the familiar cases of the Fermi-Pasta-Ulam problem and the Frenkel-Kontorova model and obtain new insights into these problems.
AB - We study the dynamics of mass-spring chains with arbitrary interparticle and substrate potentials and describe a systematic approach to derive the equations of motion near the continuum limit. Our method, which applies both to strictly one-dimensional problems and to one-dimensional chains free to move in three dimensions, correctly captures all terms to given order in discreteness and allows us to formulate well-behaved nonlinear partial differential equations for these systems. We re-examine the familiar cases of the Fermi-Pasta-Ulam problem and the Frenkel-Kontorova model and obtain new insights into these problems.
UR - http://www.scopus.com/inward/record.url?scp=0001398295&partnerID=8YFLogxK
U2 - 10.1016/0375-9601(86)90170-2
DO - 10.1016/0375-9601(86)90170-2
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AN - SCOPUS:0001398295
SN - 0375-9601
VL - 118
SP - 222
EP - 227
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -