List of Files

axialCrA.trp

two Mg ions crystallized on the z-axis. Parameters of simulation: m, m, V, V, MHz, amu.

cloud5A.trp

non-heating cloud phase for 5 Mg ions in stability region A (Blümel's ``quasiperiodic'' phase). Parameters of simulation: m, m, V, V, MHz, amu. m.

cloud9A.trp

heating chaotic cloud phase (Blümel's chaotic regime) for 9 Mg ions in stability region A. This configuration represents a ``melted'' axially-asymmetric (non-planar) crystal of file 9crA.trp. Parameters of simulation: m, m, V, V, MHz, amu.

intrCrys.trp

a two-ion Mg crystal in stability region A. Theoretical equilibrium separation: m. Coefficient of viscous damping: . Parameters of simulation: m, m, V, V, MHz, amu.

introPen.trp

a single Penning-trapped Be ion. Parameters of simulation: m, m, V, Tesla, amu.

mReg5A.trp

five Paul-trapped Mg ions in stability region A. Ions' dynamics exemplify behavior of the Mathieu regime. Parameters of simulation: m, m, V, V, MHz, amu.

paul1A.trp

a single Paul-trapped Mg ion in stability region A. Parameters of simulation: m, m, V, V, MHz, amu.

paul1B.trp

a single Paul-trapped Mg ion in stability region B. Parameters of simulation: m, m, V, V, MHz, amu.

paul10B.trp

ten Paul-trapped Mg ions in stability region B. Parameters of simulation: m, m, V, V, MHz, amu.

paul32cr.trp

ordered structure consisting of 32 Paul-trapped Mg ions in stability region A. Parameters of simulation: m, m, V, V, MHz, amu.

2sudden.trp

two ions in the Mathieu regime of stability region A after having melted from a crystalline phase due to discontinuous changes in . Parameters of simulation: m, m, V, V, MHz, amu.

4sudden.trp

four ions on the edge of Mathieu regime/heating regime of stability region A after having melted from a crystalline phase due to discontinuous changes in . Parameters of simulation: m, m, V, V, MHz, amu. Try viscous damping parameters of and to put the configuration in the chaotic cloud phase and to establish equilibrium (manifest as constant <KE>) in the chaotic cloud.

2CrA.trp, 3CrA.trp, 4CrA.trp

damped planar crystals consisting of N Mg ions, where N is the number of the file. Used for comparing stability and structure of undamped and damped crystals in stability region A. Parameters of simulation: m, m, V, V, MHz, amu.

5CrA.trp, 5CrA2.trp

damped planar crystals (consisting of 5 Mg ions) with body-centered and pentagonal planar geometries. Same parameters as above.

8CrA.trp, 8CrA2.trp

damped planar crystals with two different configurations, both of which are stable under damping. Same parameters as above. The configuration of 8CrA.trp has no ion in the center of the trap, while the center of the trap is occupied in the configuration of 8CrA2.trp.

9CrA.trp, 9CrA2.trp

damped crystals (9 Mg ions), the first of which is axially asymmetric and can ``melt'' before the Mathieu instability at , due to coupling of axial and radial equations of motion.

10CrA.trp, 10CrA2.trp

damped crystals (10 Mg ions), the first of which is axially asymmetric and can ``melt'' before the Mathieu instability at , due to coupling of axial and radial equations of motion.

10quasiA.trp

10 Mg+ ions in a non-heating cloud configuration (Blümel's quasiperiodic regime). Put in random thermal interaction (e.g., temperature K, mean free path ms) to ``kick'' the configuration into the chaotic heating regime. Parameters of simulation: m, m, V, V, MHz, amu.

15CrA.trp, 32CrA.trp, 64CrA.trp, 65CrA.trp, 128CrA.trp

damped, non-planar, axially-asymmetric crystals consisting of N Mg ions, where N is the number of the file. Used for comparing stability and structure of undamped and damped crystals in stability region A. Parameters of simulation: m, m, V, V, MHz, amu.

2crB.trp, 4crB.trp, 8crB.trp, 15crB.trp, 32crB.trp

N-ion damped, ordered configurations in stability region B. Parameters of simulation: m, m, V, V, MHz, amu.

4q455.trp

unstable (with respect to axial position) equilibrium for a four-ion crystal past the Mathieu instability at a=0, . Eventually (after about s), axial noise will enter the system and induce exponentially-growing axially oscillations. Parameters of simulation: m, m, V, V, MHz, amu.

4q455out.trp

depicts the 4-ion crystal of 4q455.trp escaping axially from the Paul trap. Note that the radial geometry of the crystal remains undisturbed. Parameters of simulation: m, m, V, V, MHz, amu.

15melt.trp

15 ions in the heating phase after melting from crystalline configuration of file 15CrA.trp. Parameters of simulation: m, m, V, V, MHz, amu.

64ramp.trp

the size and shape of a 64-ion configuration are disrupted after linear increase in q. Parameters of simulation: m, m, V, V, MHz, amu.

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