Question

Problem 1: Basic application of Boltzmann probability Energy E E2 1kBT E1 X1 Energy E E2 5kBT E1 X X2 X1 X2 Consider the two bistable energy potentials shown above. Note that although the graphs look alike, the energy scales are different. We expect that in this case, the Boltzmann probabilities are somewhat different as well. Roughly sketch these probabilities for the two cases, making sure that you use the same scale for the two probabilities (this common scale can be arbitrary). Hint: Using the information given in the above figures, you should be able to evaluate the ratio of Boltzmann probabilities between different peaks (of the probability) in each panel. X

          Problem 1: Basic application of Boltzmann probability
Energy E
E2
1kBT
E1
X1
Energy E
E2
5kBT
E1
X
X2
X1
X2
Consider the two bistable energy potentials shown above. Note that although the graphs look alike, the
energy scales are different. We expect that in this case, the Boltzmann probabilities are somewhat
different as well. Roughly sketch these probabilities for the two cases, making sure that you use the
same scale for the two probabilities (this common scale can be arbitrary).
Hint: Using the information given in the above figures, you should be able to evaluate the ratio of
Boltzmann probabilities between different peaks (of the probability) in each panel.
X

Problem 1: Basic application of Boltzmann probability
Energy E
E2
1kBT
E1
X1
Energy E
E2
5kBT
E1
X
X2
X1
X2
Consider the two bistable energy potentials shown above. Note that although the graphs look alike, the
energy scales are different. We expect that in this case, the Boltzmann probabilities are somewhat
different as well. Roughly sketch these probabilities for the two cases, making sure that you use the
same scale for the two probabilities (this common scale can be arbitrary).
Hint: Using the information given in the above figures, you should be able to evaluate the ratio of
Boltzmann probabilities between different peaks (of the probability) in each panel.
X

Added by Blanca H.

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