טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentRabaglia Roy
SubjectFluctuation Induced Forces from Non-Equilibrium Conservative
Anisotropic Diffusive Dynamics
DepartmentDepartment of Physics
Supervisor Professor Yariv Kafri
Full Thesis textFull thesis text - English Version


Abstract

Placing objects which confine the fluctuations within a fluctuating system with long range correlations leads to long ranged, Casimir like, fluctuation induced forces acting on the objects.
In addition, it is well known that the absence of fluctuation-dissipation in conservative, anisotropic, interacting diffusive systems leads to the development of long-range correlations of the fluctuations in such systems.
In this thesis work we investigate the long ranged fluctuation induced forces arising from the confinement of the correlated fluctuations in the out of equilibrium conservative diffusive systems, stating from a phenomenological approach. We evaluate the pressure extracted by the confinement of the fluctuations using pressure functional expansion.
We predict that in the case of two parallel confining plates placed within a d dimensional system in distance L from each other, these forces scales like L-d for d=2,3 , and are stronger the more anisotropic the dynamics of the system are. No fluctuation induced forces can emerge in d=1 systems. In addition, we predict that the sign of these forces can be repulsive of attractive.
We propose microscopic models which fulfill the requirements in order to exhibit the fluctuation induced forces discussed. In particular, we investigate an anisotropic active run-and-tumble microscopic dynamics model using Biroli Lefevre field-theory approach, and propose it as a good candidate for further experimental research.