Physics · Statistical Mechanics
A particle hops randomly from a site to its nearest neighbour in each step on a square lattice of unit lattice constant. The probability of hopping to the positive x-direction is 0.3, to the negative x-direction is 0.2, to the positive y-direction is 0.2, and to the negative y-direction is 0.3. If a particle starts from the origin, its mean position after N steps is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1N(0.2î - 0.3ĵ)
- 2N(0.3î - 0.2ĵ)
- 3110N(î - ĵ)✓
- 4110N(-î + ĵ)
Correct answer
110N(î - ĵ)
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