Electron thermalization in ammonia clusters induced by femtosecond laser fields

 Electron thermalization in ammonia clusters induced by femtosecond laser fields

Electron Thermalization in Ammonia Clusters Induced by Femtosecond Laser Fields

The interaction between intense femtosecond laser fields and molecular clusters has opened a window into the ultrafast dynamics of matter, particularly the behavior of electrons in non-equilibrium conditions. Ammonia (NH₃) clusters serve as ideal model systems for investigating such dynamics due to their relatively simple molecular structure and the rich hydrogen-bonded network they form. When subjected to femtosecond laser pulses, these clusters undergo rapid ionization and energy redistribution, leading to a process known as electron thermalization.

Femtosecond Laser Interaction with Clusters

Femtosecond laser pulses, with durations on the order of 10⁻¹⁵ seconds, are capable of initiating electronic excitation before atomic nuclei have time to respond. In ammonia clusters, the laser field ionizes multiple molecules simultaneously through multiphoton or tunnel ionization mechanisms. The resulting photoelectrons interact strongly with one another and with the remaining ions, triggering a cascade of secondary ionizations and inelastic collisions that set the stage for thermalization.

Electron Dynamics and Thermalization Process

Electron thermalization refers to the process by which an initially non-thermal (highly non-equilibrium) electron population relaxes to a quasi-equilibrium distribution, typically described by a Fermi-Dirac function. In the context of ammonia clusters, this occurs on sub-picosecond timescales. Initially, electrons are liberated with energies determined by the laser photon energy and ionization potential. These high-energy electrons undergo multiple scattering events—both electron-electron and electron-ion collisions—which redistribute energy among the electronic population.

This rapid energy redistribution results in the formation of a hot electron plasma within the cluster. The electron temperature can rise to several electron volts, depending on the laser intensity and pulse duration. The thermalized electrons then drive further processes, such as ion evaporation, Coulomb explosion, or recombination with ions. Notably, the dynamics of thermalization are influenced by the size of the cluster, with larger clusters facilitating more scattering events and a more efficient thermalization pathway.

Experimental Techniques and Observations

Time-resolved spectroscopy techniques, such as pump-probe photoelectron spectroscopy and time-of-flight mass spectrometry, have been employed to monitor the electron dynamics in ammonia clusters. These methods provide insights into the kinetic energy distribution of emitted electrons, which evolves as thermalization progresses. Observations reveal that within tens to hundreds of femtoseconds after the initial laser interaction, the electron energy distribution broadens and shifts, consistent with the formation of a thermalized electron cloud.

Another key signature of thermalization is the appearance of a Maxwellian or Fermi-Dirac tail in the electron energy spectra, indicating that the electron population has reached a statistical equilibrium. Additionally, coherent effects such as collective oscillations (plasma resonances) and transient charge separation can influence the thermalization dynamics, especially in clusters with sizes in the nanometer range.

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