TY - JOUR
T1 - Critical exponent of the fractional Langevin equation
AU - Burov, S.
AU - Barkai, E.
PY - 2008/2/20
Y1 - 2008/2/20
N2 - We investigate the dynamical phase diagram of the fractional Langevin equation and show that critical exponents mark dynamical transitions in the behavior of the system. For a free and harmonically bound particle the critical exponent αc=0.402±0.002 marks a transition to a nonmonotonic underdamped phase. The critical exponent αR=0.441... marks a transition to a resonance phase, when an external oscillating field drives the system. Physically, we explain these behaviors using a cage effect, where the medium induces an elastic type of friction. Phase diagrams describing the underdamped, the overdamped and critical frequencies of the fractional oscillator, recently used to model single protein experiments, show behaviors vastly different from normal.
AB - We investigate the dynamical phase diagram of the fractional Langevin equation and show that critical exponents mark dynamical transitions in the behavior of the system. For a free and harmonically bound particle the critical exponent αc=0.402±0.002 marks a transition to a nonmonotonic underdamped phase. The critical exponent αR=0.441... marks a transition to a resonance phase, when an external oscillating field drives the system. Physically, we explain these behaviors using a cage effect, where the medium induces an elastic type of friction. Phase diagrams describing the underdamped, the overdamped and critical frequencies of the fractional oscillator, recently used to model single protein experiments, show behaviors vastly different from normal.
UR - http://www.scopus.com/inward/record.url?scp=40849121133&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.100.070601
DO - 10.1103/PhysRevLett.100.070601
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C2 - 18352535
AN - SCOPUS:40849121133
SN - 0031-9007
VL - 100
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
M1 - 070601
ER -