טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentAlfia Ron
SubjectRandom Organization and Self Organizing Systems
DepartmentDepartment of Physics
Supervisor Professor Dov Levine


Abstract

In non-equilibrium statistical mechanics, observables of a system are often scarce, with respect to the observables one can find in thermally equilibrium systems. In the former systems, there are postulates that lay foundations to general theorems and thus, many relations between different observable can be deduced. However, for systems far from thermal equilibrium there are fewer restrictions and respectively much less observables.


This study has given rise to a novel observable called ‘Computable Information Density’ which acts as an order measure for discrete, finite, lattice based systems. This state function namely the CID is capable of detecting phase transitions and calculating their critical points’ values in statistical systems, in and out of thermal equilibrium. The simplicity of this novel method will make the CID an ideal tool to gain further insights about the organization levels in many particle lattice based research.


We employ this novel observable in conjugation with the commonly used 'Activity' on two recent statistical models, both distinguished by their far from equilibrium property, namely the 'Manna Model' and the 'Conserved Lattice Gas'. In those models, initiated from a random configuration, we see how the dynamics increase the value of the organization which is represented by the CID. This result, may be considered to be counter-intuitive in thermally equilibrium due to the second law of the thermodynamics.