Exact(10)
As an application, we obtain the Simon-Lieb inequality for the two-dimensional continuum φ4-theory with space cutoff.
Our method is based on phase space tunneling estimates and a splitting of the operator by means of Toeplitz-type phase space cutoff operators.
Additionally, long range Coulombian interactions were treated by particle mesh Ewald approximation with a 10 Å real space cutoff and 1.2 Å grid [8].
We also obtain a measure on the space of continuous sample paths dQ = Z−1 exp{−⋮Tn⋮λ} dP, where dP is the distribution of X, Z is a normalization constant, and λ represents a space cutoff.
Electrostatic interactions were evaluated using the particle mesh Ewald (PME) [25] with a real space cutoff
The weak-coupling thermostat with a coupling time constant of 0.1 ps was employed and the particle mesh Ewald method [51], [52], [53] with real space cutoff of 1.0 nm, beta-spline interpolation of order 6 and direct sum tolerance of 10−6 was used for electrostatics.
Similar(49)
Electrostatics was handled with the particle-mesh Ewald method (20) with a nonbonded real-space cutoff of 8 Å.
A grid space of 0.75 Å and a receptor atom distance cutoff of 1.50 Å were used.
All-electron core treatment was adopted, and the real space global cutoff radius was set to be 4.6 Å to achieve high accuracy.
Real-space global cutoff radii were set for all elements at 5 Å.
To save space, the estimated cutoff points are not reported.
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