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@@ -151,7 +151,7 @@ nanoparticle, a possibility of symmetry breaking, however, remains
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unexplored. To examine these effects, numerical modeling is
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performed. Based on the simulation results, we propose an original
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concept of a deeply subwavelength
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-($\approx$$\lambda$$^3$/100) plasma-induced nanopatterning of
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+$\approx$$(\lambda/100)$$^3$ plasma-induced nanopatterning of
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spherical silicon nanoparticles. In particular, the revealed strong
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symmetry breaking in the initially symmetrical nanoparticle, which is
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observed during ultrafast photoexcitation near the magnetic dipole
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@@ -424,12 +424,12 @@ $\alpha = 21.2$ cm$^2$/J is the avalanche ionization coefficient
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\cite{Pronko1998} at the wavelength $800$ nm in air. As we have noted,
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free carrier diffusion is neglected during and shortly after the laser
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excitation \cite{Van1987, Sokolowski2000}. In particular, from the
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-Einstein formula $D = k_B T_e \tau/m^* \approx (1--2){10}^{-3}$ m$^2$/s
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+Einstein formula $D = k_B T_e \tau/m^* \approx (1\div2)\cdot{10}^{-3}$ m$^2$/s
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($k_B$ is the Boltzmann constant, $T_e$ is the electron temperature,
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$\tau=1$~\textit{fs} is the collision time, $m^* = 0.18 m_e$ is the effective
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mass), where $T_e \approx 2*{10}^4$ K for $N_e$ close to $N_{cr}$ \cite{Ramer2014}. It
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means that during the pulse duration ($\approx$ 50~\textit{fs}) the diffusion
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-length will be around $5--10$~nm for $N_e$ close to $N_{cr}$.
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+length will be around $5\div10$~nm for $N_e$ close to $N_{cr}$.
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\begin{figure}[ht!]
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\centering
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@@ -611,7 +611,7 @@ license.
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is, the higher the NP asymmetry $G_{N_e}$ is achieved.
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\textit{'Stage 2'} corresponds to further electric field oscillations
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- ($t \approx 2--15$) leading to the unstationery EHP evolution
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+ ($t \approx 2\div15$) leading to the unstationery EHP evolution
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with a maximum of the EHP distribution in the front side of the Si NP
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owing to the starting excitation of MD and MQ resonances that require more
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time to be excited. At this stage, the density of EHP ($N_e < 10^{20}$cm$^2$)
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@@ -626,7 +626,7 @@ license.
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enough to change the local optical properties. Below the magnetic
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dipole resonance $R \approx 100$~nm, the EHP is mostly localized in
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the front side of the NP as shown in Fig.~\ref{fig2}(c). The highest
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- stationary asymmetry factor $G_{N_e} \approx 0.5--0.6$ is achieved in this case. At the magnetic dipole
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+ stationary asymmetry factor $G_{N_e} \approx 0.5\div0.6$ is achieved in this case. At the magnetic dipole
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resonance conditions, the EHP distribution has a toroidal shape and
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is much closer to the homogeneous distribution. In contrast, above the
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magnetic dipole resonant size for $R = 115$~nm, and the $G_{N_e} < 0$ due
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