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Time averages. Charge density wave systems

  1. Jul 23, 2014 #1
    1. The problem statement, all variables and given/known data
    How to get equation
    ## \frac{d \theta}{dt}=-\omega_d+\omega_1\cos (\omega t)##
    where ##\omega_d## is the average drift frequency and ##\omega_1## is proportional to the amplitude of the ac current.
    from
    ## \frac{d \theta}{dt}=\omega_{co}(\frac{V(t)}{V_T}-\sin \theta) ##
    where ## \omega_{co}## is classical crossover frequency and ##V_T## is the dc treshold voltage,


    2. Relevant equations
    Time averages
    ## \langle A \rangle=\frac{1}{T}\int^{T}_0 Adt ##



    3. The attempt at a solution
    I do not see the way how to calculate averages
    ## \langle V(t) \rangle=\frac{1}{T}\int^{T}_0 V(t)dt##
    and
    ## \langle \sin \theta(t) \rangle=\frac{1}{T}\int^{T}_0 \sin \theta(t)dt ##
    Any idea?
     
    Last edited by a moderator: Jul 27, 2014
  2. jcsd
  3. Jul 27, 2014 #2
    I'm sorry you are not generating any responses at the moment. Is there any additional information you can share with us? Any new findings?
     
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