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The induced Casimir energy for a subsystem consisting of two heavy particles substituted at a finite distance in a linear chain of interacting oscillators is obtained. The heavy particles are linearly interacting with the nearest neighbor particles. A continuum modeling for the discrete case is considered and the corresponding Casimir energy is calculated. The result obtained from the continuum modeling agrees with the discrete model qualitatively.

Induced Casimir Force between Heavy Particles Substituted in an Oscillator Chain