Quantum Gravity 145.3: More Re Sonoluminescence and Auditory Information Processing Via Riccati



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Topic: Science > Physics
User: "OsherD"
Date: 26 May 2007 12:50:41 AM
Object: Quantum Gravity 145.3: More Re Sonoluminescence and Auditory Information Processing Via Riccati

From Osher Doctorow

Sonoluminescence as a keyword turns up 70 papers in arXiv, of which
even the most recent under this heading, "Theory of light emission in
sonoluminiscence as thermal radiation," Wang-King Tse and D. T. Leung
(Chinese U. of Hong Kong), cond-mat/0606359 v1 14 Jun 2006, use the
Rayleigh-Plesset equation in a "more robust" form that uses as
coefficient the Mach number in the first two terms of the equation,
that is to say Mach number M of bubble wall is defined as (dR/dt)/c_L
where c_L is spread of sound in suspending liquid.
The Karlsson and Robinson paper uses the "FHN neuron" model:
1) epilon dV_t = V_t)V_t - a)(1 - V_t)dt - W_t dt + dv_t
2) dW_ = (V_t - delta W_t - (b + s_t)) dt
with epsilon, a, b, delta > 0 nonrandom parameters, V fast variable,
W slow variable, s_t signal processing representing the stimuli (the
acoustic pressure in the inner ear), etc.
Osher Doctorow
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