هندسه ی ترمودینامیکی گاز ایده ال با آمار دگرگون تام-دانکوف

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

1 گروه آموزشی فیزیک، دانشکده علوم، دانشگاه محقق اردبیلی، اردبیل، ایران

2 گروه آموزشی فیزیک، دانشکده علوم پایه، دانشگاه فردوسی مشهد، مشهد، ایران

چکیده

خواص ترمودینامیکی سیستمی را که ذرات آن از جبر نوسان‌گر تام- دانکوف بوزونی و فرمیونی تبعیت می‌کند، مطالعه می-کنیم. فضای پارامترهای ترمودینامیکی را بنا می‌کنیم و با استفاده از عناصر متریک این فضا، کمیتی موسوم به انحنای ترمودینامیکی را محاسبه می‌کنیم. نشان خواهیم داشت که برهمکنش آماری ذاتی ذرات دگرگون بوزونی (فرمیونی) در تمام ناحیه فیزیکی و به ازای تمام مقادیر پارامتر دگرگونی، جاذب (دافع) است و بنابراین پارامتر دگرگونی خاصیت برهمکنش آماری ذاتی را تغییر نمی‌دهد. با استفاده از نقاط تکینگی انحنا، مقدار گریزندگی بحرانی وابسته به پارامتر دگرگونی را برای سیستم بوزونی دگرگون شده بدست می‌آوریم. نشان می‌دهیم که این تکینگی بر نقاط گذار فاز چگالش گاز ایده‌ال بوزونی دگرگون شده منطبق است.

کلیدواژه‌ها

عنوان مقاله [English]

Thermodynamic Geometry of an ideal gas with Taam- Dancoff deformed statistics

نویسندگان [English]

  • Hosein Mohammadzadeh 1
  • Zahra Ebadi 1
  • Ramin Roozedar 2
  • Mehdi Amiiri 1
1 Department of Physics, University of Mohaghegh Ardabili, Ardabil, Iran
2 Department of Physics, Faculty of Basic Science, Ferdowsi University of Mashhad, Mashhad, Iran
چکیده [English]

We consider the thermodynamic properties of a system with particles obeying bosonic and fermionic Taam-Dancoff oscillator algebra. We construct the thermodynamic parameters space and using the metric elements of this space, we work out a quantity which is called the thermodynamic curvature. We will show that the statistical intrinsic interaction of deformed bosons (fermions) is attractive (repulsive) in full physical range and for all values of deformation parameter and deduce that the deformation parameter does not affect the statistical intrinsic interaction. Using the singular points of curvature, we obtain the deformation parameter dependent critical value of fugacity for bosonic system. We show that the singular points coincide with the condensation phase transition points of deformed gas.

کلیدواژه‌ها [English]

  • Taam-Dancoff oscillator
  • Thermodynamic curvature
  • Condensation

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پژوهش سیستم های بس ذره ای
دوره 12، شماره 1 - شماره پیاپی 32
بهار 1401
خرداد 1401
صفحه 115-128

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سابقه مقاله

  • تاریخ دریافت: 09 دی 1398
  • تاریخ بازنگری: 24 مهر 1400
  • تاریخ پذیرش: 13 آذر 1400

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