def flow_para_function( x, beta, relaxation_rate, flow_velocity, baseline=1):
'''flow_velocity: q.v (q vector dot v vector = q*v*cos(angle) )'''
Diff_part= np.exp(-2 * relaxation_rate * x)
Flow_part = np.pi**2/(16*x*flow_velocity) * abs( erf( np.sqrt( 4/np.pi * 1j* x * flow_velocity ) ) )**2
return beta*Diff_part * Flow_part + baseline
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