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Canonical thermostatics of ideal gas in the frame work of generalized uncertainty principle | ||
| Journal of Interfaces, Thin Films, and Low dimensional systems | ||
| مقاله 1، دوره 2، شماره 1، بهمن 2018، صفحه 99-108 اصل مقاله (212.87 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22051/jitl.2019.18596.1015 | ||
| نویسندگان | ||
| Sedigheh Miraboutalebi1؛ Laleh Farhang Matin* 2 | ||
| 1Physics Department, Science Faculty, Islamic Azad University-North Tehran Branch, Tehran, Iran | ||
| 2Physics Department, Science Faculty, Islamic Azad University-Norht Tehran Branch, Tehran, Iran | ||
| چکیده | ||
| The statistical consequences of minimal length supposition are investigated for a canonical ensemble of ideal gas. These effects are encoded in the so-called Generalized Uncertainty Principle (GUP) of the second order. In the frame work of the considered GUP scenario, a unique partition function is obtained by using of two different methods of quantum and classical approaches. It should be noticed that here we consider the magnitude of the momentum in the deformed Hamiltonian of the model. In this way the model is different from the already existing model which does not have any significant result in quantum approach. In particular, the corrections to the thermodynamical characteristics such as the mean energy, the entropy and the density of states are achieved. The induced improvements manifest themselves at very high temperature limits. However it is shown that, if one apply the predicted observational bound on the GUP deformation parameter, the modifications become more observable even at intermediate temperatures. The deformation parameter of the considered GUP model also estimated for nowadays precision of measurements of the heat capacity of an ensemble of hydrogen atoms. | ||
| کلیدواژهها | ||
| Generalized uncertainty principle؛ minimal scale of length؛ ideal gas؛ perturbation method؛ canonical partition function | ||
| عنوان مقاله [English] | ||
| ترمودینامیک کانونیک مربوط به گاز کامل در چارچوب اصل عدم قطعیت تعمیم یافته | ||
| نویسندگان [English] | ||
| صدیقه میرابوطالبی1؛ لاله فرهنگ متین2 | ||
| 1گروه فیزیک، دانشکده علوم، دانشگاه آزاد اسلامی، واحد تهران شمال، تهران، ایران | ||
| 2گروه فیزیک ، دانشکده علوم ، دانشگاه آزاد اسلامی ، واحد شمال تهران ، تهران ، ایران | ||
| چکیده [English] | ||
| نتایج آماری طول کمینه در مدل کانونی آماری گاز کامل بررسی می شود.این اثر اصل عدم قطعیت تعمیم یافته مرتبه دوم نامیده می شود. در این سناریو تابع پارش از دو دیدگاه مکانیک کلاسیک و وانتوم بررسی می شود. نکته قابل توجه اینکه در محاسبات اندازه تکانه تعمیم یافته مد نظر است. کمیات تصحیح یافته ترمودینامیکی مانند آنتروپی و تابع چگالی حالات بدست می آید. | ||
| کلیدواژهها [English] | ||
| اصل عدم قطعیت تعمیم یافته, طول کمینه, روش اختلال گاز ایده آل, تابع پارش کانونی | ||
| مراجع | ||
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