From quantum to classical modelling of radiation reaction: a focus on stochasticity effects

Abstract

Radiation-reaction in the interaction of ultra-relativistic electrons with a strong external electromagnetic field is investigated using a kinetic approach in the weakly quantum regime ($\chi \lesssim 1$, with $\chi$ the electron quantum parameter). Three complementary descriptions are considered, their domain of applicability discussed and their predictions on average properties of an electron population compared. The first description relies on the radiation reaction force in the Landau and Lifschitz (LL) form. The second relies on the linear Boltzmann equation for the electron and photon distribution functions. It is valid for any $\chi \lesssim 1$, and usually implemented numerically using a Monte-Carlo (MC) procedure. The third description relies on a Fokker-Planck (FP) expansion and is rigorously derived for any ultra-relativistic, otherwise arbitrary configuration. Our study shows that the evolution of the average energy of an electron population is described with good accuracy in many physical situations by the leading term of the LL equation with the so-called quantum correction, even for large values of the $\chi$. The leading term of the LL friction force (with quantum correction) is actually recovered naturally by taking the FP limit. The FP description is necessary to correctly describe the evolution of the energy variance (second order moment) of the distribution function, while the full linear Boltzmann (MC) description allows to describe the evolution of higher order moments whose contribution can become important when $\chi \to 1$. This analysis allows further insight on the effect of particle straggling in the deformation of the particle distribution function. A general criterion for the limit of validity of each description is proposed, as well as a numerical scheme for inclusion of the FP description in Particle-In-Cell codes.

References in corpus (30)

• Extremely high-intensity laser interactions with fundamental quantum systems
• SMILEI: a collaborative, open-source, multi-purpose particle-in-cell code for plasma simulation
• Dense Electron-Positron Plasmas and Ultra-Intense Bursts of Gamma-Rays from Laser-Irradiated Solids
• Modelling Gamma Ray Emission and Pair Production in High-Intensity Laser-Matter Interactions
• Experimental evidence of radiation reaction in the collision of a high-intensity laser pulse with a laser-wakefield accelerated electron beam
• QED cascades induced by circularly polarized laser fields
• Extended PIC schemes for physics in ultra-strong laser fields: review and developments
• Radiation Reaction Effects on Radiation Pressure Acceleration
• Monte Carlo calculations of pair production in high-intensity laser-plasma interactions
• Quantum radiation reaction effects in multiphoton Compton scattering
• Quantum radiation reaction in laser-electron beam collisions
• The critical manifold of the Lorentz-Dirac equation
• Modeling high-energy pulsar lightcurves from first principles
• Stochasticity effects in quantum radiation reaction
• Pair Creation in QED-Strong Pulsed Laser Fields Interacting with Electron Beams
• Seeded QED cascades in counter propagating laser pulses
• Quantum radiation reaction in head-on laser-electron beam interaction
• Lorentz-Abraham-Dirac vs Landau-Lifshitz radiation friction force in the ultrarelativistic electron interaction with electromagnetic wave (exact solutions)
• Dynamics of Emitting Electrons in Strong Electromagnetic Fields
• Gamma-ray flares in the Crab Nebula: A case of relativistic reconnection?
• Signatures of quantum effects on radiation reaction in laser -- electron-beam collisions
• Radiation reaction in strong field QED
• Quantum quenching of radiation losses in short laser pulses
• Radiation Reaction Effects on Electron Nonlinear Dynamics and Ion Acceleration in Laser-solid Interaction
• Concept of Formation Length in Radiation Theory
• Radiation reaction from QED: lightfront perturbation theory in a plane wave background
• The dynamics of a charged particle
• Quantum electron self-interaction in a strong laser field
• On the entropy of radiation reaction
• Accurate numerical simulation of radiation reaction effects in strong electromagnetic fields

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• Advances in QED with intense background fields
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• Identifying the electron-positron cascade regimes in high-intensity laser-matter interactions
• Multiple-colliding laser pulses as a basis for studying high-field high-energy physics
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• Synchrotron emission from nanowire-array targets irradiated by ultraintense laser pulses
• Radiation Reaction near the Classical Limit in Aligned Crystals
• From quantum to classical modelling of radiation reaction: a focus on the radiation spectrum
• Gamma-Flash Generation in Multi-Petawatt Laser-Matter Interactions
• Model-independent inference of laser intensity
• PICSAR-QED: a Monte Carlo module to simulate Strong-Field Quantum Electrodynamics in Particle-In-Cell codes for exascale architectures
• Kinetic theory for spin-polarized relativistic plasmas
• Optimal Parameters for Radiation Reaction Experiments
• Are we ready to transfer optical light to gamma-rays?
• Analytical spectrum of nonlinear Thomson scattering including radiation reaction
• Realising Single-Shot Measurements of Quantum Radiation Reaction in High-Intensity Lasers
• Quantum-stochasticity-induced asymmetry in angular distribution of electrons in a quasi-classical regime
• Global constant field approximation for radiation reaction in collision of high-intensity laser pulse with electron beam
• Radiation reaction-dominated regime of wakefield acceleration
• Analytical solutions for quantum radiation reaction in high-intensity lasers
• Ring momentum distributions as a general feature of Vlasov dynamics in the synchrotron dominated regime
• High-order corrections to the radiation-free dynamics of an electron in the strongly radiation-dominated regime
• A Frenet-Serret Interpretation of Particle Dynamics in High-Intensity Laser Fields
• Beamstrahlung-enhanced disruption in beam-beam interaction
• On-shot diagnostic of electron beam-laser pulse interaction based on stochastic quantum radiation reaction
• Testing strong-field QED with the avalanche precursor
• Effect of electron-beam energy chirp on signatures of radiation reaction in laser-based experiments
• Coherently enhanced radiation friction in laser-plasma collisions
• Novel Signatures of Radiation Reaction in Electron-Laser Sidescattering
• Variational Quantum Simulation of the Fokker-Planck Equation applied to Quantum Radiation Reaction
• The effect of the electron's spin magnetic moment on quantum radiation in strong electromagnetic fields
• Optimal laser focusing for positron production in laser-electron scattering
• Radiation Reaction Enhancement in Flying Focus Pulses
• Generation of quasi-monoenergetic proton beams via quantum radiative compression
• Enhanced quantum radiation with flying-focus laser pulses