Liquid drop model and langevin equation

[Heimdall]

Hi !

i'm looking for some paper about the liquid drop model, and why we can use the langevin equation (initialy designed for brownian motion) to describe fission process (here brownian particle is collective variable such as quadripolar momenta)


thank you

 

[Rade]

See these links:

http://www.iop.org/EJ/abstract/0954-3899/29/10/305
http://arxiv.org/abs/nucl-th/9607054
http://www.psigate.ac.uk/roads/cgi-bin/searchpublishers.pl?term1=Langevin

 

[sir-pinski]

for your question! The liquid drop model is a theoretical model used in nuclear physics to describe the properties of atomic nuclei. It is based on the concept that the nucleus can be approximated as a droplet of incompressible nuclear matter, similar to a drop of liquid. This model was proposed in the 1930s by George Gamow and Niels Bohr and has been successful in explaining many nuclear phenomena, such as nuclear binding energies and nuclear fission.

The langevin equation, on the other hand, was initially developed to describe the random motion of particles in a fluid, known as Brownian motion. However, it has also been applied to other systems, including nuclear fission. This is because the collective motion of the nucleus during fission can be described as a Brownian particle, with the collective variable being the quadrupolar momenta.

The use of the langevin equation in the liquid drop model allows for a more realistic description of the fission process, taking into account the effects of thermal fluctuations and dissipation. This is important in understanding the behavior of nuclei under extreme conditions, such as during nuclear reactions.

I would recommend looking into papers by Bohr and Wheeler on the liquid drop model and by Fong and collaborators on the application of the langevin equation to nuclear fission. I hope this helps!