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We have previously discussed the diffusion limited problem of the boundedone-dimensional multitrap system where no external fiel is included and payspecial attention to the transmission of the diffusing particles through thesystem of imperfect traps. We discuss here the case in which an external fieldis included to each trap and find not only the transmission but also the energyassociated with the diffusing particles in the presence and absence of suchfields. From the energy we find the specific heat $C_h$ and show that forcertain values of the parameters associated with the multitrap system itbehaves in a manner which is suggestive of phase transition. Moreover, thisphase transition is demonstrated not only through the conventional single peakat which the specific heat function is undifferentiable but also through theless frequent phenomenon of double peaks.Comment: 25 pages, 6 PS Figures, there have been introduced many changes  including the remove of two figure

Phase transition in the bounded one-dimensional multitrap system