What is Mixing: Definition and 297 Discussions

In mathematics, mixing is an abstract concept originating from physics: the attempt to describe the irreversible thermodynamic process of mixing in the everyday world: mixing paint, mixing drinks, industrial mixing, etc.
The concept appears in ergodic theory—the study of stochastic processes and measure-preserving dynamical systems. Several different definitions for mixing exist, including strong mixing, weak mixing and topological mixing, with the last not requiring a measure to be defined. Some of the different definitions of mixing can be arranged in a hierarchical order; thus, strong mixing implies weak mixing. Furthermore, weak mixing (and thus also strong mixing) implies ergodicity: that is, every system that is weakly mixing is also ergodic (and so one says that mixing is a "stronger" notion than ergodicity).

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  1. C

    Measurable consequences of entropy of mixing

    Most textbooks include an example of entropy of mixing that involves removing a partition between two (in principle) distinguishable gases, and compare this to the case where the two gases are indistinguishable. What I’ve not yet been able to figure out is what the consequences of this...
  2. J

    I Question about subtractive color mixing

    Hello, When reading a bit about substractive color mixing, a question came up. I understood that when mixing Cyan, Magenta and Yellow paint, you would get black because all these 3 colors that get reflected by each corresponding paint are absorbed by the other paint in the mix, leaving no...
  3. maistral

    Van der waals mixing rules for three or more components

    The title, basically. I am aware of the mixing rule for the two-component form: aP = a1z12 + 2z1z2sqrt(a1a2) + a2z22 Where do I find its extension on three or more cases? SVNA does not tell anything about this.
  4. kostoglotov

    Nyquist and FM and Signal Mixing....

    In an assignment I have, we are told to implement a Frequency Modulating function without using any of MATLAB's in-built functions, and not to use it's integration function either (use cumsum instead). I've been getting a lot of problems trying to solve these assignment problems without telling...
  5. C

    How Can I Mix Different Colours of Paint Without Them Blending Together?

    I am looking for a way that I can mix many colours of paint into the same container without it blending together and making other colours. I make liquid art and have seen others make images where i can see many colours in the liquid. The base of what I use at the moment is methycelluslose ...
  6. J

    Mixing Ice and Water: Final Temp & Composition

    Homework Statement 300gm of water at 25°C is added to 100gm of ice at 0°C ,find the final temperature of the mixture .Also find the final composition of mixture . Homework Equations [/B] Specific heat of water = 1 cal/gm/°C Latent heat of fusion of ice = 80 cal/gm The Attempt at a Solution...
  7. J

    How Much Steam Is Needed to Heat Water from 24°C to 90°C?

    Homework Statement The temperature of 100 gm of water is to be raised from 24°C to 90°C by adding steam to it .Calculate the mass of the steam required for this purpose . Homework Equations Latent heat of vaporisation of steam = 540 Cal/g The Attempt at a Solution [/B] Let 'm' be the mass...
  8. J

    Calculating Equilibrium Temperature of Ice and Water Mixture

    Homework Statement 1Kg ice at -10° C is mixed with 1 Kg water at 100°C .Then find equilibrium temperature. Homework Equations Specific heat of water = 1Cal/g/°C Specific heat of ice = 0.5 Cal/g/°C Latent heat of fusion of ice = 80 Cal/g The Attempt at a Solution [/B] Heat required by ice...
  9. C

    What would mixing different radioactive materials do?

    If I was to throw together I variety of radioactive materials into a pot, what would be the interaction between the different materials? If I threw together Barium and Polonium, what would happen? What if I added Cesium, Europium, and Strontium to the mix? What about throwing in Uranium? Will...
  10. lomachine

    Help with calculating stock blender for rubber mixing....

    Hello everybody, I am planning to design "stock blender" for two rolls rubber mixxing. I don't have any information about it in my language. So I want to find some documents or directions for its! THis is a picture a rubber mixxing with stock blender. Thanks guys!
  11. Jay the EE

    Mixing of Strong acid and Weak acid

    Hi! I want to clarify what will happen if you mix two acids. One is stronger and One is less stronger. What will be the pH level result? for example if the acid is the juice from lemon which is at 2.0 be mix with orange ph level of 3.0, will it be greater than less than 2.0? or will it be 2.5...
  12. martinbandung

    Mixing Light Colors: Is There a Theory?

    the problem is the purple object will seem to be black if the object is illuminated by what color of light? i want to know if there is a theory that discuss about this, or the mixing of light color. Thank you for your help
  13. blackdranzer

    Entropy change : pure mixing of gases

    Consider three identical boxes of volume V. the first two boxes will contain particles of two different species 'N' and 'n'. The first box contains 'N' identical non interacting particles in a volume V. The second box contains 'n' non interacting particles. The third box is the result of mixing...
  14. M

    I ## k^0-\bar{k^0} ## mixing and gauge boson propagator

    Hi all , I'm studying ## k^0-\bar{k^0} ## mixing from Cheng & Li's book "gauge_theory_of_elementary_particle_physics", page: 379 , I found that they consider the gauge boson propagator in the Feynman gauge, where ## i\Delta_{\mu\nu} = -i \frac{g_{\mu\nu}}{k^2-M^2_W} ## , but till my knowledge...
  15. J

    I How do I determine the proper ratio of CO2 and N for my tank?

    I wish to fill a 60 cf tank with both CO2 and N at a 25% - 75% ratio. I have been told by my supplier that if I can tell them the "Recipe" for my size tank that they could make this happen for me. What I need to know is the amount of liquid CO2 (measured in pounds) that would be placed into...
  16. D

    Mixing Ground Connections For 120V AC and 24V DC

    I have a questions about AC and DC components being grounded to the same spot. I have a power supply box that takes in 120V AC and brings that into a transformer that converts it to 24V DC. On the way into the box the ground wire from the 120V AC is brought into a grounding terminal block and...
  17. F

    Additive Color Mixing - red colored beams on a screen

    Hello Forum, Awhite background reflects all colors (i.e. all incident wavelengths). A black screen, being black, absorbs all incident types of light (i.e. absorbs all incident wavelengths). a)Let's consider a red monochromatic beam projected on a black screen inside a dark room. Would the...
  18. F

    Why Prandlt Mixing Length Theory works at all?

    There are several unreasonable assumptions in the formulation of the Prandlt Mixing Theory. However, it works reasonably well for simple 1-D flow. An attempt to explain why is given by Davidson in his book 'Turbulence', on page 122 - 124, section 4.1.4. It's stated that it still works because...
  19. mousheng xu

    I The energy lost when mixing two boxes of gas

    Apologize if you feel this question to be so simple and naive. Suppose a chamber is divided by a insulator into two equal volume (V) chambers, . One chamber contains n moles of hot oxygen at temperature T1, the other chamber contains n moles of cold oxygen at temperature T2. If you move the...
  20. T

    How does this floor heating mixing unit work?

    I've come across this floor heating mixing unit from Watts in an appartment. The image shows how things flow (I could only find this with some russian-looking annotations). To the left of the return connection there is a water meter - not an energy meter - it only shows the accumulated amount...
  21. T

    Temperature after mixing ice and water

    Homework Statement 5 g of water at 30°C and 5 g of ice at -20°C are mixed together in a calorimeter Find the final temperature of the mixture. Water equivalent of the calorimeter is negligible,specific heat of ice=0.5 cal/g°C and latent heat of ice =80 cal/g. Homework Equations...
  22. N

    Entropy of mixing - Ideal gas. What is x?

    Homework Statement A bottle with volume v containing 1 mole of argon is next to a bottle of volume v with 1 mole of xenon. both are connected with a pipe and tap and are same temp and pressure. the tap is opened and they are allowed to mix. What is the total entropy change of the system? Once...
  23. N

    A Box diagram calculation (Kaon mixing)

    I am trying to calculate box diagram of Kaon mixing by follow the "CP Violation" book. Now, I arrived at equation (B.8) and I have problem with getting equation (B.12). F(x_\alpha,x_\beta)=\dfrac{1}{(1-x_\alpha)(1-x_\beta)}(\dfrac{7x_\alpha...
  24. A

    Calculating the molarity when mixing two different solutions

    Homework Statement You mix 45-mL of 0.1174M K2SO4 and 35-mL of 0.2504M HNO3 Homework Equations none. The Attempt at a Solution So I'm supposed to find the number of moles of the K2SO4 and add it to the number of moles of 0.2504, then add the two volumes, and divide the total number of moles...
  25. P

    Thermal Capacity after mixing

    Hi, Say we have fluid A with thermal capacity C_a and fluid B with C_b. If we create a solution with X% of fluid A and (1-X)% of fluid B, is it true that the new thermal capacity of the mixture will be C_new ?= C_a*X + C_b * (1-X) Or it is a case-by-case relationship that depends on the nature...
  26. L

    Mixing Fluids: Calc Velocity & Temp of Final Mixture

    A stream of water at 300 Deg K flowing into a mixture at a velocity of 5m/s. Another stream of water at 400 Deg K is flowing in at 8 m/s.How to calculate the final velocity and temperature of the fluid after mixing? Please find the attached image? If it requires any c/s dimensions please assume..
  27. I

    Can DNA from an animal ever end up in bacteria or viruses?

    I was wondering if it is possible for a bacteria to enter a body and somehow get some amount of that animal's DNA in itself if and when it leaves the body? Or if it just continues to live in the body. Basically does DNA ever linger around? I heard about "DNA dropping" in organisms, if that's the...
  28. jin94

    Statistical Mechanics, partition function for mixing

    Hi! The following image is taken from my note in Stat Mech. Please excuse my ugly handwriting... I copied this from my professor's note on a whiteboard, and I'm not so sure if it is correct. The equations for Z1 (partition function before mixing) and Z2 (partition function after mixing) seems...
  29. memoryerasure1

    B Could mixing light wavelengths effect absorption, and emissi

    -ion process. The electron when hit by light moves to a higher shell level very briefly, to either shell 1, or 2 depending on the energy of the light wavelength. So because you mixed any EM radiation, with red light which has the lowest energy, could when light, or other EM waves gets absorbed...
  30. Bhavik Panchal

    Power calculation for Ribbon blender for dry cement mixing?

    density -1600 kg/m3 dia -1m lenght -2m material to mix - Dry cement mixing abt 2 tones please suggest me the power in hp...
  31. S

    Maximum work obtained by mixing 2 gases

    Homework Statement 2 boxes containing the same number of moles of 2 ideal identical gases with the same adiabatic index (this is given as gamma), at the same initial temperature Ti but with different volumes, V1 and V2 are brought together. Find the maximum mechanical work that can be obtained...
  32. H

    What is the phenomena of Mixing?

    I absolutely do not get it. I have read the boards in this section. What is the phenomena of mixing? I am just asking a simple question. I don't need to know about the CKM matrix (at least not yet) or D-zero mesons. What is a simple example (if there is one) of mixing? What do I start with...
  33. L

    Differential equation mixing problem

    Homework Statement A vat with 2000L of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 20L/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour? Homework EquationsThe Attempt at a Solution At ##t =...
  34. R

    Mixing two different liquids at different temperatures

    When I pour two different liquids at different temperatures, into the same container, the temperature will be uneven at the start but then will approach equilibrium. Similarly, the concentrations of each liquid will be uneven but when mixing is complete, there will be the same concentrations...
  35. M

    Is this wave interference? Sound mixing problem.

    This is my first post here, so hello to all. I came here looking for advice. I am far for considering myself even a newbie regarding physics, I have huge gaps in knowledge. However, as I happen to "know my way around computers", I am helping my friend in her art project. Sparing you the...
  36. R

    Entropy change mixing oil and water question

    My question is: when oil and water from separate containers are poured into the same container and given time to equilibrate, is the entropy change positive, negative, or zero? I've been told that there is zero change in entropy because the water and oil do not mix at all. However, I suspect...
  37. G

    How Do Isotope Tracers Determine Mixing Ratios in Water Samples?

    Homework Statement Two water samples are mixed. Sample 1 has δ18O-H2O = -1(per mil), Sample 2 has δ18O-H2O = -20 (per mil), and the mixture has δ18O-H2O = -15 (per mil). What fraction of water came from sample 1 and what fraction came from sample 2? Assume that F = the fraction of the water...
  38. Amith2006

    Quark mixing factor in CKM matrix

    I find that the quark mixing factor say for example ##V_{ub}## is the same for: u ##\Leftrightarrow## b ##u\Leftrightarrow\bar{b}## ##\bar{u}\Leftrightarrow## b ##\bar{u}\Leftrightarrow\bar{b}## Does this have something to do with weak interaction being unable to distinguish these from one...
  39. S

    Are there any interactions from mixing these chemicals?

    Hi, So I recently got a new job, and when I was being instructed on how to close my department, I noticed that they used quite a bit of chemicals on the same surface (it's a salad bar). I was wondering if any of these chemicals could interact, and if so, what the products would be. First, the...
  40. B

    Physics: pressure of mixing gases

    Homework Statement 96 grams of oxygen and 50 grams of hydrogen gas occupy separate, equal sections of 200 liter tank. The divide is removed and the gases are allowed to mix and react with each other. Temperature is kept constant at 120 degrees celsius 2. Homework Equations [/B] b) find the...
  41. T

    Gauge bosons and the weak mixing angle

    <<Mentor note: Moved from other thread.>> I have 4 questions: 1. Why Weinberg angle affects neutral boson mixing, while W+ and W- are unaffected? 2. Is there any relation between Weinberg angle and CP violation angle? Are they absolutely independent? 3. How our world would be different if...
  42. David Gin

    Mixing compressed air with different dew points

    Two compressed air(A, B) at 100 PSIG: Air A - Compressed with -70C dew point. Air B - Compressed without entering an air dryer. If this two compressed air is distributed into a tank together, would the the air mix to form Air C (same pressure with dew point between air A and B)? I have read a...
  43. C

    Mixing units with functions or derivatives?

    Hi, How do you correctly use units when writing derivatives and functions in math? Example A car goes 17miles per gallon, so a function m with the equation m(g)=17g describes the distance it can go with g gallons. And the derivative dm/dg = 17 miles/gallon. Question: could you write the...
  44. M

    Quantum Optics: 4-wave mixing

    Hi all, I've some questions for you which challenge my brain a lot! :nb) I'm dealing with a Photonic course and our professor introduced us a little bit of Non-Linear Optics. We spoke about Four-Wave-Mixing (4wm for brevity) and we said that when we shine a material with ##\chi ^{3}## with two...
  45. Devang Marvania

    Mixing of two air flow at different pressure

    Hi Friends! Here is my query : I have two source of air supply with different pressures, temperatures and with different mass flow rates. Input 1: P1,T1,m1. Input 2:P2,T2,m2. Output: P3,T3,m3. P,T and m refers to pressure, temperature and mass flow rate respectively. If the mixing is being done...
  46. S

    Mixing water with steam, find equilibrim

    Homework Statement 100 g of steam at 100 °C is mixed with 500 g of water at 25 °C. What is the final temperature of the mixture? Homework Equations Q= mL Q= mcΔT The Attempt at a Solution Heat given by to water = heat loss at condensation = mLv...
  47. R

    Exploring Paramagnetism in Molecules: Be2, B2, C2, and N2

    Homework Statement Assuming 2s-2p mixing is not operative, the paramagnetic species among the following is 1. Be2 2. B2 3. C2 4. N2 Homework Equations NA The Attempt at a Solution Not able to understand the statement "2s -2p mixing is not operative". Can you help? Paramagnetism is a specie...
  48. andres0l1

    W_L-W_R Mixing in the Left-Right Symmetric Model

    Homework Statement The question is how to get the mass term for the W Gauge bosons within the Left Right Symmetric Model (LRSM). My main struggle is with the Left-Right Mixing part. So the LRSM has the gauge group $SU(2)_L\times SU(2)_R \times U(1)_{B-L}$ and with an additional discrete...
  49. S

    Gas confusion -- cooling air in a pipe using venturis and mixing

    Hello everyone! I am new here. I have used this forum on and off through google searches in the past and learned a fair bit from the posts. This is the first time asking anything. The question is probably extremely simple but has been overrun in my head for a week! It is in regards to...
  50. S

    MHB Mixing Teas for Profit: A 25% Return

    A tea importer mixes tea bought at £5.20/kg with tea at £5.60/kg. He sells this blend at £6.80/kg making a profit of 25% on his cost price. In what ratio does he mix the teas?
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