RECURRENCE AND TOPOLOGICAL ENTROPY Problem. Let T : X
... Suppose that every (x, y) ∈ X × X is two-sided recurrent, i.e. there is a sequence nk 6= 0 such that (T nk x, T nk y) → (x, y). Does this imply h(X, T ) = 0? Weiss showed that under the additional assumption that nk > 0 i.e. that every point in the product is forward recurrent then the answer is ...
... Suppose that every (x, y) ∈ X × X is two-sided recurrent, i.e. there is a sequence nk 6= 0 such that (T nk x, T nk y) → (x, y). Does this imply h(X, T ) = 0? Weiss showed that under the additional assumption that nk > 0 i.e. that every point in the product is forward recurrent then the answer is ...
Practice Test 2 Do equal volumes of different materials have the
... material had the greater mass per unit volume? How did you figure this out from the data table? How is mass different from volume? What does each measure? ...
... material had the greater mass per unit volume? How did you figure this out from the data table? How is mass different from volume? What does each measure? ...
Problem set 3: The Canonical Ensemble, continuous approach
... of oxygen of molar mass M=32 g/mol, at T=300 K. Ex.4. Let us consider an ideal monatomic gas of N particles of masse m, in equilibrium at temperature T, contained in a cylinder of radius R and infinite height. In this problem we will not neglect the gravitation field, g, we consider it is uniform an ...
... of oxygen of molar mass M=32 g/mol, at T=300 K. Ex.4. Let us consider an ideal monatomic gas of N particles of masse m, in equilibrium at temperature T, contained in a cylinder of radius R and infinite height. In this problem we will not neglect the gravitation field, g, we consider it is uniform an ...
1 (12 points) Answer the following questions. (1) A central force F r
... done by the gas (ΔW), the quantity of heat acquired by the gas (ΔQ), and the change in entropy of the gas (ΔS )? Include signs in your answers. In the adiabatic expansion process of Method B, what is the amount of work done by the gas (ΔW), the quantity of heat acquired by the gas (ΔQ), and the chan ...
... done by the gas (ΔW), the quantity of heat acquired by the gas (ΔQ), and the change in entropy of the gas (ΔS )? Include signs in your answers. In the adiabatic expansion process of Method B, what is the amount of work done by the gas (ΔW), the quantity of heat acquired by the gas (ΔQ), and the chan ...
Equilibrium and Kinetics
... 9. The half-life of a first order reaction is 24 days. (i) Calculate the rate constant for the reaction (ii) The time taken for 75% of the reactant to decay. 10. Derive an expression for the variation of reactant concentration with respect to time for a reaction which exhibits zero order kinetics. H ...
... 9. The half-life of a first order reaction is 24 days. (i) Calculate the rate constant for the reaction (ii) The time taken for 75% of the reactant to decay. 10. Derive an expression for the variation of reactant concentration with respect to time for a reaction which exhibits zero order kinetics. H ...
Spectroscopy, a toolbox for structural information on aerosol particles
... CH-8093 Zurich, Switzerland [email protected] It is well known that light interacts differently with small particles compared with bulk materials or gas phase molecules, producing spectral signatures that strongly depend on particle properties, such as size, shape, or architecture. Even nanosized a ...
... CH-8093 Zurich, Switzerland [email protected] It is well known that light interacts differently with small particles compared with bulk materials or gas phase molecules, producing spectral signatures that strongly depend on particle properties, such as size, shape, or architecture. Even nanosized a ...
Assignment 1
... 6.The molecules of a gas have two states of internal energy with statistical weights g1, g2 and energies 0, ε respectively. Calculate the contribution of these states to the specific heat of the gas. ...
... 6.The molecules of a gas have two states of internal energy with statistical weights g1, g2 and energies 0, ε respectively. Calculate the contribution of these states to the specific heat of the gas. ...