We consider the focusing NLS with an angular momentum and a harmonic potential, which models Bose–Einstein condensate under rotating magnetic trap. give sharp condition on global existence blowup in mass-critical case. further stability of such systems via variational method. determine that at critical exponent $$p=1+4/n$$ , mass Q, ground state for zero is threshold both finite time orbital in...

Results for the volume change and dipole tensor for point defects are derived using a generalisation of the Betti reciprocity theorem. These results incorporate the correction terms derived by Flynn, by Lidiard and by Gillan in a simpler way, and allow some more general results to be obtained straightforwardly. Calculations of volume changes caused by defects in solids often use an expression i...

The virial coefficients can be obtained from statistical mechanics in connection with the intermolecular potentials. The intermolecular potential of polyatomic molecules is usually assumed to consist of a spherically symmetric component plus a contribution due to asphericaity of the molecular charge distribution. In this study, the second virial coefficients have been calculated for N2...

The problem of demixing in the Asakura-Oosawa colloid-polymer model is considered. The critical constants are computed using truncated virial expansions up to fifth order. While the exact analytical results for the second and third virial coefficients are known for any size ratio, analytical results for the fourth virial coefficient are provided here, and fifth virial coefficients are obtained ...

We present results for the fourth virial coefficient of quadrupolar Lennard-Jones diatomics for several quadrupole moments and elongations. The coefficients are employed to predict the critical properties from two different truncated virial series. The first one employs the exact second and third virial coefficients, calculated in our previous work. The second includes also the exact fourth vir...