Exact(8)
On the other hand the particles of lead-tin yellow type II are bigger than the particles of type I and form medium-sized grains.
where n i is the number of particles of type i having a hydrodynamic radius of RH,i and property y.
For this purpose, we label the particle of type A with 1 and label the particles of type B with (2, 3, ldots, M).
The model consists of a single particle of type A (called the second-class particle) and (M-1) particles of type B (called the first-class particles).
Differences in conformation were also observed in non-infectious empty particles and infectious viral particles of type 3 poliovirus [27].
To relate the deterministic rate equations to the stochastic master equation, one can think of the abundance of the species A in terms of the expectation values of the number of particles of type A: 14where the brackets denote the expectation value and NA t) is the number of particles of type A on the grain at time t.
Similar(52)
If a lattice site is occupied by a particle of type B, the matrix (D_2) is attributed to it.
A particle of type B hops from the lattice site i to (i+1) with the rate 1 provided that the target site is empty.
The particle of type A hops from the lattice site i to (i+1) with the rate p provided that the target site is empty.
Here |F,t> is the statevector characterizing the system at the given time, and a* k)(x) and a k)(x) are the creation and annihilation operators for a particle of type k at point x.
Assuming N a particle of type A, N b particle of type B, a Volume V and the Avogadro's number being A v, then the total number of reactions N r in a well-mixed system is given by (9) N r = k N a N b t A v V. On average, the desired number of reactions in our system should be equivalent to the result of the above equation.
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