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We observed splitting of the low-bias vortex-flow branch in adense-Josephson-vortex state into multiple sub-branches in current-voltagecharacteristics of intrinsic Josephson junctions (IJJs) ofBi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+x}$ single crystals in the long-junction limit.Each sub-branch corresponds to a plasma mode in serially coupled Josephsonjunctions. Splitting into low-bias linear sub-branches with a spread in theslopes and the inter-sub-branch mode-switching character are in goodquantitative agreement with the prediction of the weak but finiteinter-junction capacitive-coupling model incorporated with the inductivecoupling. This suggests the importance of the role of the capacitive couplingin accurately describing the vortex dynamics in serially stacked IJJs.Comment: 4 pages, 3 figures, 1 tabl

physical review. b, condensed matter and materials physics

Collective resonance modes of Josephson vortices in a sandwiched stack of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="normal">Bi</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">Sr</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi mathvariant="normal">Ca</mml:mi><mml:msub><mml:mi mathvariant="normal">Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:…

Collective resonance modes of Josephson vortices in a sandwiched stack ofBi2Sr2CaCu2O