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A classical mechanicsstudy of isoscaling
Isoscaling is studied using classical molecular dynamicssimulations of several reactions at various energies.
Isoscaling at different stages of the reaction wascalculated and the validity of the isoscaling power law
•• Isoscaling exists for all reactions at all energies:Isoscaling exists for all reactions at all energies:
Isoscaling and TimeIsoscaling and Time
Determine if isoscaling exist at all times, track behavior of α and β
•• 4040Ca+Ca+4040Ca, Ca, 4040Ca+Ca+4848Ca, Ca, 5252Ca+Ca+5252CaCa•• t = 75, 125, t = 75, 125, …… , 5000 fm/c, 5000 fm/c•• 2000 collisions per case2000 collisions per case•• Calculate Calculate
•• Fit to Fit to
Isoscaling at early times
Isoscaling exists since early in the reaction
40Ca - 48Ca at 35 MeV/A at
125 fm/c
Isoscaling at Isoscaling at very very early timesearly times
Isoscaling exists since very early in the reaction
40Ca - 48Ca at 35 MeV/A at
75 fm/c
α and β have a smooth
time evolution
40Ca - 48Ca at 35 MeV/A
Evolution of IsoscalingEvolution of Isoscaling
Isoscaling exists from impact and survives collisionIsoscaling exists from impact and survives collision
•• Isoscaling exists for all times:Isoscaling exists for all times:
Isoscaling and reaction dynamics
Try to link isoscaling (α and β) to the reaction
• Expected:
• Track T, mass, KE, radial velocity oflargest fragment
• For Fermi gas:
Isoscaling and reaction dynamics
Black: 40Ca Red: 48Ca
at 35 MeV/A
Compression-Expansion
30% in ΔT
μ varies during reaction => α and β cannot be linked to specific μ or T
Isoscaling and reaction dynamicsIsoscaling and reaction dynamics
μ varies during reaction => α and β cannot be linked to specific μ or T
Isoscaling cannot reflect thermodynamic conditions of a single time