دراسة الاستجابة العرضية لسائل كوانتي تحت تأثير كمون شعاعي خارجي
Abstract
تم في هذا البحث حساب المركبة العرضية للتشوهات الطاقية في الصيغ الموجية المرونية لسائل كوانتي وذلك في إطار نظرية لانداو في سائل فيرمي، آخذين بعين الاعتبار تأثير المركبة العرضية للاضطراب الخارجي المطبق على الجملة، حيث تم حساب كثافة التيار المرتبطة بهذه المركبة إضافةً إلى حساب تنسور الضغط في هذه الحالة. أثناء دراستنا تماعتبار درجة الحرارة منخفضة بشكل كبير بحيث تتحقق من أجلها المتراجحة حيث تمثل درجة حرارة فيرمي (Fermi Temperature). تم مقارنة استجابة السائل للمركبة العرضية للكمون الخارجي المطبق، مع استجابته للمركبة الطولية لهذا الاضطراب عند نفس الشروط، من خلال دراسة تابعية أنماط القص العرضية والطولية (التي تعبر عن هاتين الاستجابتين) لتردد ومتجهة الموجة للاضطراب المطبق. تبين لنا أن هاتين الاستجابتين مختلفتان في الحالة العامة ولكنهما تصبحان متساويتين في الحالة الخاصة ،حيث تمثل السرعة على سطح فيرمي.والتي من أجلها تصبح فرضيات النموذج اللزوجي صحيحة. In this search, we have calculated thetransverse component of energy distortion in elasticity wave modes of quantum liquid, by using Landau's theory in Fermi liquid taken in consideration the effect of transverse component of an external disturbance on the liquid. We calculated the current density related to this component, and the stress tensor component according with this state.In our search we have been considered the temperature is low enough since the relation is true, where is the Fermi temperature. We have compared the response of the liquid, for transverse componentof the external disturbance, with its response for longitudinal one in same conditions, by studding the transverse and longitudinal shear modulus (which equivalent these responses) as functions of the frequency and wave vector of the external disturbance. We have found in general that these responses are different, but they become equal in particular case , where the velocity on Fermi surface, and in this case the viscoelastic model hypotheses become true.Downloads
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