Figure 1

(Color online) Evolution as a function of the Monte Carlo steps of the interaction energy per particle (upper part) and mean radius $R=\sqrt[3]{\left(R^3\right)}$(lower part) for a system composed of 75 neutral and 54 charged particles at two different temperatures $T=0.36ϵ$ (lower curve) and $T=0.54ϵ$ (upper curve). Dashed lines: thermal average. Dotted lines: standard deviation. Calculations are done in the canonical ensemble.Reuse & Permissions

Figure 2

(Color online) Autocorrelation function [Eq. (14)] as a function of the sampling period for a system composed of 75 neutral and 54 charged particles at two different temperatures $T=0.36ϵ$ (upper curve) and $T=0.54ϵ$ (lower curve).Reuse & Permissions

Figure 3

Convergence of the Metropolis algorithm for a system composed of 75 neutral and 54 charged particles at the temperature $T=0.36ϵ$. As a function of the number of recorded events $N_{ev}$, the upper (middle) part shows the relative difference of the average (standard deviation) of the interaction energy and its thermal value; the lower panel gives the Kolmogorov-Smirnov likelihood probability between the energy distribution with a given $N_{ev}$ and its thermal limit.Reuse & Permissions

Figure 4

Correlation between the interaction energy and the Metropolis temperature in the adaptative simulated annealing technique, for a system composed of 75 neutral and 54 charged particles.Reuse & Permissions

Figure 5

(Color online) Left: average ground-state energy associated with the short-range coupling part of the Hamiltonian as a function of the number of particles for a symmetric $N=Z$ system. Right: same as left, as a function of the asymmetry between charged and neutral particles, for different total number of particles: $A=40,60,80,100$ from top to bottom. The lines correspond to best fits using Eq. (16).Reuse & Permissions

Figure 6

Left: average ground state radius as a function of the total number of particles; the different points represent the different asymmetries shown in Fig. 5, the largest radius being associated to the highest total charge. Right: total Coulomb energy as a function of the square of the total charge divided by the average radius, for the same systems as in the left side. The lines correspond to best fits using Eqs. (17).Reuse & Permissions

Figure 7

(Color online) Contour lines: energy per particle extrapolated from the best fits according to Eq. (18), as a function of the number of neutral and charged particles. Full line: maximal stability line. Dotted line: $N=Z$. Dashed area: instability with respect to symmetric fission.Reuse & Permissions

Figure 8

(Color online) Thermal behavior of a system of 129 identical particles interacting with a short-range attractive force (standard LGM)at a pressure $P=2.65\times {10}^{-5}ϵA/r_0^3$. Upper left: average (full line) and most probable (symbols) interaction energies as functions of the temperature. The arrow gives the value of the transition temperature. Upper right: interaction energy distribution at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower left: distribution of the size of the largest cluster at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower right: correlation between the interaction energy and the size of the largest cluster at the transition temperature.Reuse & Permissions

Figure 9

(Color online) Thermal behavior of a system of 75 neutral and 54 charged particles interacting only with an isovector short-range force at a pressure $P=2.65\times {10}^{-5}ϵA/r_0^3$. Upper left: average (full line) and most probable (symbols) interaction energies as functions of the temperature. The arrow gives the value of the transition temperature. Upper right: interaction energy distribution at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower left: distribution of the size of the largest cluster at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower right: correlation between the interaction energy and the size of the largest cluster at the transition temperature.Reuse & Permissions

Figure 10

(Color online) Thermal behavior of a system of 75 neutral and 54 charged particles interacting with an isovector short-range force and a repulsive long-range Coulombic force at a pressure $P=2.65\times {10}^{-5}ϵA/r_0^3$. Upper left: average (full line) and most probable (symbols) interaction energies as functions of the temperature. The arrow gives the value of the transition temperature. Upper right: interaction energy distribution at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower left: distribution of the size of the largest cluster at a temperature below (dark gray), above (light gray), and at (black) the transition temperature. Lower right: correlation between the interaction energy and the size of the largest cluster at the transition temperature.Reuse & Permissions

Figure 11

Fluctuations of the interaction energy (upper panels) and of the size of the largest cluster (lower panels) versus temperature. Left side: same conditions as in Fig. 8; middle: same conditions as in Fig. 9; right side: same conditions as in Fig. 10. The dashed lines indicate the fluctuation peak.Reuse & Permissions

Figure 12

(Color online) At the three transition temperatures defined by the right bottom panel in Fig. 10, the left part shows the correlation between the interaction energy and the size of the largest fragment; the right part shows the correlation between the Coulomb energy and the size of the largest fragment. Temperature increases from top to bottom. The conditions are the same as in Fig. 10.Reuse & Permissions

Figure 13

(Color online) Distribution of the size of the largest (middle) and second largest (upper) clusters, and their correlation (bottom) at the three transition temperatures defined by the right bottom panel in Fig. 10. The conditions are the same as in Fig. 10.Reuse & Permissions

Figure 14

(Color online) Phase diagram of a system of 75 neutral and 54 charged particles interacting with an isovector short-range force and a repulsive long-range Coulombic force at a pressure $P=2.65\times {10}^{-5}ϵA/r_0^3$ (same conditions as in Fig. 10). The full line is the liquid $\left(L\right)$-gas $\left(G\right)$ coexistence line and the point is the critical point. The symbols with horizontal error bars give fission $\left(F\right)$-residue $\left(L\right)$ transition points. The dashed line is to guide the eye.Reuse & Permissions