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Wave propagation

  1. Jun 17, 2009 #1
    i have a doubt in wave propagation in solids
    wave propagation i have studied in school is in continous medium
    but real mediums are discreate how will we understnd wave propagation in them
    -for wave to transfer from one particle to next takes infinitesimial time but since in continous medium neighbouring particles are at finite distance the speed
    distance/time goes infinite......please help
     
  2. jcsd
  3. Jun 17, 2009 #2
    for a sound wave to travel, the particles of the medium should collide with each other.
    In solids, as the relative separation between the molecules is too less than compared to liquids and gases, the differential time interval taken for successive collision is less in solids than in liquids than in gases.So, we can say that sound in solids is more locomotive than in liquids and gases.
     
  4. Jun 17, 2009 #3

    Andy Resnick

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    If the wavelength is much larger than the microstructure of the medium, it is possible to consider the medium as continuous, with perhaps slowly-varying properties. I think this is the essence of the Born approximation, but could not find a pithy website.
     
  5. Jun 20, 2009 #4
    i got stuck in this doubt for past four years thinking that in higher classes i might get to know enough to answer the question ..but as you can see i am still in the pipeline..

    thanks andy resnick i ,ll google on that..
     
  6. Jun 20, 2009 #5
    Wave propagation speed in a medium is roughly the speed of the molecules in the medium. For instance wave propagation speed in a gas is the speed of molecules in that gas at that temperature. The initial pressure creating the wave just change the speed of molecules slightly and that change is transferred through the medium by molecular collissions. If using a classical view upon it.

    In fluids and solids there are of course not free moving molecules as in gases. But there are molecular vibrations that could be ascribed "velocities" corresponding to movements in gases.
     
    Last edited: Jun 20, 2009
  7. Jun 21, 2009 #6
    what about instantaneous transfer of vibration between neighbouring particles at finite distances making speed infinite(not taking the fact that force spreads with the velocity of light)is continous medium distance between neighbouring particles is infinitesimial
    so is time taken for vibration to spread between two neighbouring particles
    hence speed comes finite....
     
  8. Jul 24, 2009 #7
    consider three particles A B C
    when wave reaches A immidiately(after infinisimial time interval) a force act on B but since in solids the particles are at finite distance the speed which is distance/time must go infinite how does one explain that real mediums act as continous plz help
     
  9. Jul 24, 2009 #8
    It's really no problem. We can solve the equations for N coupled oscillators, and we take the limit that N goes to infinity and the distance between them goes to zero.
     
  10. Jul 24, 2009 #9
    ya correct as distance tends to 0 speed acquires a finite value
    but wat i am asking is that only continous medium has infinite oscilators(particles)
    wat abt real medium like a crytal which has finite no. of particles at a finite distance
    how can it behave like a continous medium
    plx read(ANDY RESNIK) post above to understand wat iam asking
     
  11. Jul 25, 2009 #10
    Well the theory of phonons is how one describes a part of the specific heat capacity of a crystalline solid. The phonons wavelengths are quantized such that nodes and peaks occur at lattice sites.
     
  12. Jul 25, 2009 #11
    sorry but i cant figure how phonons are related to the ques. may be because i have yet not studied abt phonons , so lets take sound waves (vibrations) travelling through a metal bock
    which is constitued by metal atoms at finite distances ,now can u explain how wave travel
    through it by refering wat happen to atoms and if vibrations take infinitesimial time to
    jump from one atom to another then speed of wave must be infinite
    as distance between atoms in not infinitly small .
     
  13. Jul 26, 2009 #12
    At each lattice site is an atom. These atoms interact with the other atoms at other lattice sites and can be approximated very well as couple harmonic oscillators. By solving these oscillator equations for N oscillators, we gain wave motion.
     
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