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A model detector undergoing constant, infinite-duration accelerationconverges to an equilibrium state described by the Hawking-Unruh temperature$T_a=(a/2\pi)(\hbar/c)$. To relate this prediction to experimental observables,a point-like charged particle, such as an electron, is considered in place ofthe model detector. Instead of the detector's internal degree of freedom, theelectron's low-momentum fluctuations in the plane transverse to theacceleration provide a degree of freedom and observables which are compatiblewith the symmetry and thermalize by interaction with the radiation field.General arguments in the accelerated frame suggest thermalization and afluctuation-dissipation relation but leave underdetermined the magnitude ofeither the fluctuation or the dissipation. Lab frame analysis reproduces theradiation losses, described by the classical Lorentz-Abraham-Dirac equation,and reveals a classical stochastic force. We derive the fluctuation-dissipationrelation between the radiation losses and stochastic force as well asequipartitation $\langle p_\perp^2\rangle = 2mT_a$ from classicalelectrodynamics alone. The derivation uses only straightforward statisticaldefinitions to obtain the dissipation and fluctuation dynamics. Since highaccelerations are necessary for these dynamics to become important, we compareclassical results for the relaxation and diffusion times to strong-fieldquantum electrodynamics results. We find that experimental realization willrequire development of more precise observables. Even wakefield accelerators,which offer the largest linear accelerations available in the lab, will requireimprovement over current technology as well as high statistics to distinguishan effect.

Electron response to radiation under linear acceleration: classical, QED and accelerated frame predictions