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Effect of Dynamics on Finite Systems in Thermal Equilibrium | | Shyamal Biswas
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1 Jun 2006 | | Subject: | Statistical Mechanics | | Abstract: | We show quantitatively the role of the dynamics of the constituent particles of a finite sized system in equilibrium with a heat bath. In thermodynamical systems the dynamics of its constituent particles play no role in determining the probability of its state under the condition of equilibrium. But the dynamics is important at very low temperature when thermal de Broglie wave length of its constituent particles become comparable to the system size. We justify the necessity of non-Boltzmann statistics at very low temperatures, when the usual condition of thermodynamic limit is not satisfied. In that case we show that specific heat of the system can be negative. There is a discontinuity of specific heat at a constant temperature below which there is no effect of thermal interaction on the system. We quantitatively discuss the thermodynamic limit in particular for the case of Bose Einstein condensation. | | Source: | arXiv, cond-mat/0606029 | | Services: | Forum | Review | PDF | Favorites | |
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