1997/12/30 by Ali Nayeri, Nayeri, Ali
Materials Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Astrophysics (astro-ph) #FOS: Physical sciences #Material Dynamics and Properties #Statistical Mechanics and Entropy #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/9712346
14 pages, 12 Postscript figures, uses mn.sty
arxiv created 1997/12/30 · openalex publication_date 1997/12/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We have used a toy model to study the behaviour of confined binary systems in\n2D and compare it with previously known result in 3D. In the case of 2D,\nin which canonical distribution exists only above a critical temperature, we\nevaluate the exact form of partition function for this system and compare the\nexact partition function with the mean field partition function for the case of\ntwo-particle system. In contrast of its 3D counterpart, there is no phase\ntransition here. If this system, however, studied in microcanonical ensemble,\nit shows two different phases of kinetic energy dominated with positive\nspecific heat and potential energy dominated with negative specific heat in\npresence of short distance cutoff. In absence of short distance cutoff,\nsurprisingly, the negative specific heat region will be replaced by region of\nlarge specific heat. This feature is completely new and there is no such a case\nin 3D.\n