4781

4500

كارشناسي ارشد

فيزيك

اصفهان:دانشگاه صنعتي اصفهان،دانشكده فيزيك

1388

[7]،66،[II]ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

بهروز ميرزا

احمد شيرزاد

1/9/88

كيوان آقابابايي ساماني، فرهاد شهبازي

فيزيك

ID4500

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Thermodynamics Geometry of G on Gas Reza siavashi r siavashi@ph iut ac ir Date of submission 2009 Department of physics Isfahan University of Thechnology Isfahan 84156 83 11 Iran Degree M Sc Language Farsi Behrouz Mirza b mirza@cc iut ac irAbstract It has been shown that the stability of ideal quantum gases can be measured by means ofthe Riemannian scalar curvature R of the parameter space Also it was shown that thecomponents of the metric tensor can assumed to be the second moments of energy or entropy Sowe can manufacture two metrics In 1984 mrugala and salmon et al proved that these twometrics are conformally equivalent with the inverse of the temperature as the conformal factor By means of the calculation of scalar curvature R some authors have shown that Forbosons R is positive and increase monotonically from zero at the classical limit to positiveinfinity in the condensation region They showed that a system is less stable if R is bigger andvice versa For fermions R is negative and this means the Fermi gases are more stable than theideal bose gas and ideal classical systems Lately the thermodynamic curvature of a two dimensional ideal anyon gas of particles whichobeying fractional statistics was derived They explored the statistical interaction of anyon gas and they derived that for attractive statistical interactions thermodynamic curvature is positiveand for repulsive statistical interactions it is negative wich indicates the more stable anyon gas and there was a special case between the two where the thermodynamic curvature is zero In this thesis we derive the thermodynamic curvature of a N Dimensional ideal g on gas andanyon gas of particles obeying fractional statistics at some correction on energy and withoutcorrection in energy in classical region of Maxwell boltzman We see than in all calculations ofscalar curvature R in special case this quantity is zero The regions with scalar curvature positiveand negative are derived By derivation of these region we specified the regions with more stable Fermi like and the regions with less stable bose like Key words Ideal quantum gas Fermi gas Bose gas Anyon gas G On gas Thermodynamic Curvature

بهروز ميرزا

احمد شيرزاد

كيوان آقابابايي ساماني، فرهاد شهبازي