What is Phase: Definition and 1000 Discussions

In the physical sciences, a phase is a region of space (a thermodynamic system), throughout which all physical properties of a material are essentially uniform. Examples of physical properties include density, index of refraction, magnetization and chemical composition. A simple description is that a phase is a region of material that is chemically uniform, physically distinct, and (often) mechanically separable. In a system consisting of ice and water in a glass jar, the ice cubes are one phase, the water is a second phase, and the humid air is a third phase over the ice and water. The glass of the jar is another separate phase. (See state of matter § Glass)
The term phase is sometimes used as a synonym for state of matter, but there can be several immiscible phases of the same state of matter. Also, the term phase is sometimes used to refer to a set of equilibrium states demarcated in terms of state variables such as pressure and temperature by a phase boundary on a phase diagram. Because phase boundaries relate to changes in the organization of matter, such as a change from liquid to solid or a more subtle change from one crystal structure to another, this latter usage is similar to the use of "phase" as a synonym for state of matter. However, the state of matter and phase diagram usages are not commensurate with the formal definition given above and the intended meaning must be determined in part from the context in which the term is used.

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  1. J

    Engineering Single Phase Induction Motor -- 2 Questions

    Homework Statement Question 2 Homework Equations Flux time lag depends on L/R ratio. More resistance, less time lag. Single Phase IM---Double Revolving field theory The Attempt at a Solution For 1st question, I think answer should be A. BB circuit has more resistance so BB Flux will have...
  2. J

    Transformer Delta to single phase

    Homework Statement Homework Equations For Delta line current = 1.732 times phase current. Line voltage = phase voltage The Attempt at a Solution I don't know how to start this. This is original connection This is new one The voltage should be 3 times because of additive polarity. Not sure...
  3. rishi kesh

    Instantaneous current in stator of 3 phase IM

    I am studying induction motors and i have equation for instantaneous value of current flowing in each phases.(please check to image below).I can see that its it the form Im.cosωt But isn't it supposed to be Im.sinωt ?because that's how we find all instantaneous parameters like voltage and...
  4. J

    A Berry phase and parallel transport

    Hello. In the following(p.2): https://michaelberryphysics.files.wordpress.com/2013/07/berry187.pdf Berry uses parallel transport on a sphere to showcase the (an)holonomy angle of a vector when it is parallel transported over a closed loop on the sphere. A clearer illustration of this can be...
  5. billyray

    Solve 3 Phase Total Power Problems

    Homework Statement I have included the problems attached below. I have looked at a recent post and the equations made sense to me but I am very new to 3 phase systems basically know only what I have learned from trying to answer my questions. i feel my attempt is wrong from what I have seen...
  6. F

    I Liquid-gas phase transition: metastable mixed states?

    Hello everybody. I am trying to understand better what happens at a liquid-gas phase transition for the Van Der Waals model. From what I have understood, from the Van Der Waals model we are able to plot the curve P(V) and to calculate the free energy F. Here are such curves : Then, we...
  7. J

    Average current in single phase bridge converter SCR

    << Mentor Note -- thread moved from the technical forums, so no Homework Template is shown >> I'm studying controlled rectifiers and for full wave bridge rectifiers the notes(that I'm studying from says) It says that the average load current is Id / 2 I don't understand how. Why should the 2...
  8. Manoj Sahu

    Why is the phase of an imaginary signal 90 degrees?

    Like we write "R+jX" where jX is considered to be imaginary term and it said to have 90 degree phase shift.
  9. Urs Schreiber

    Mathematical Quantum Field Theory - Reduced Phase Space - Comments

    Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Reduced Phase Space Continue reading the Original PF Insights Post.
  10. Paul Colby

    Relative phase measurements

    I'm trying to measure correlation between two RF noise sources and as usual trying to do it on the cheep. I've purchased 2 SDRPlay RSP2pro radios. These operate from 500kHz or so to 2 GHz with sampling rates from 2 to 10 MHz. Not bad for $200 and they work well as radios. The RSP2s have in and...
  11. A

    I Can phase shifts δl be calculated in scattering theory?

    Hello, My question is about the calculation of phase shifts δl in scattering theory. Some article mention that we can obtain phase shifts by numerically solving the radial Schrodinger equation but I'm not sure how to do it. Do you know how to proceed? is there any code (python, c ++, ...)...
  12. S

    Stray/Parasitic Capacitance - Impacts phase velocity?

    Hey everyone, I'm trying to measure the stray capacitance in a circuit comprised of an rf signal generator, an oscilloscope, a coaxial cable (short-circuited) and some capacitors. I measured the resonant frequencies of the coaxil cable for varying values of capacity (0pF to 850pF) between 4MHz...
  13. Twigg

    I Hamiltonian for an Optical Phase Shifter?

    Hey all, I was reading Efficient Linear Optics Quantum Computation by Knill, Laflamme, and Milburn, when I came across their expression for the Hamiltonian for a phase shifter, given as ##\textbf{n}^{(\ell)} = \textbf{a}^{(\ell)\dagger} \textbf{a}^{(\ell)}##, where ##\ell## indicates the mode...
  14. N

    Carrier spacing related to period to go in phase

    Hi, I start at 100 MHz have 10 carrier frequencies all starting in phase at t=0 and the carrier frequencies have 25 kHz spacing. So my frequency range is 100-100.25 MHz, with 10 single frequencies equally spaced in this range. They are therefore all different frequencies, spaced 25khz apart...
  15. N

    A pulse of frequencies that start in phase - pulse period?

    Hi, I start at 100 MHz have 10 carrier frequencies all starting in phase at t=0 and the carrier frequencies have 25 kHz spacing. So my frequency range is 100-100.25 MHz, with 10 single frequencies equally spaced in this range. They come in phase every 4x10-5 seconds. The equation Frequency = 1...
  16. Urs Schreiber

    Mathematical Quantum Field Theory - Phase Space - Comments

    Greg Bernhardt submitted a new PF Insights post Mathematical Quantum Field Theory - Phase Space Continue reading the Original PF Insights Post.
  17. yeshuamo

    Variable of integration in geometric phase calculation

    Homework Statement Calculate the geometric phase change when the infinite square well expands adiabatically from width w1 to w2.Homework Equations Geometric phase: \gamma_n(t) = i \int_{R_i}^{R_f} \Bigg< \psi_n \Bigg | \frac{\partial \psi_n}{\partial R} \Bigg > dR Infinite square well wave...
  18. Q

    Using Tektronix Oscilloscope to Measure Phase

    Hi guys, I am working on a project that involves measuring the phase angle between two sinusoidal voltages. The circuit under examination is an RL type (the resistor was in series with the inductor), where the phase of voltage across the inductor is measured relative to the voltage input of the...
  19. F

    Phase diagram of water in real life

    Hello, All substances that are either in the liquid or solid state have a small vapor pressure which implies that they are always slowly (solids especially) evaporating and turning into a gas (vapor). The phase diagrams of water and carbon dioxide indicate only states (P , V) of pressure and...
  20. L

    Single Phase Controlled Rectifier Problem

    Question Consider a heating system with strongly inductive characteristic and with an electronic control of temperature performed by varying the firing angle of a single-phase controlled bridge. a) Determine the value of resistance to to ensure a maximum power of 7500W if this system is powered...
  21. L

    I Berry phase, Bra-Ket and gradient

    Could somebody show me how to derive this equation? How can I get right side from left. Step by step, thanks...
  22. H

    I Phase diagram of MI/SF transition Bose-Hubbard model

    Hi all, I am currently doing an undergraduate research project on the Bose-Hubbard model with hardcore bosons, and I am studying it theoretically using the Monte Carlo Stochastic Series Expansion method. I would very much like to ask my supervisor this question, but he seems extremely busy...
  23. Cocoleia

    Phase and Line current in 3 phase circuits

    Homework Statement I need to first find phase current in the load and line current from the supply Homework EquationsThe Attempt at a Solution I thought it would be easier to work with a star because then the Ztl would be in series with it... I am not sure how to find the current but my best...
  24. F

    Phase transformation in shape memory alloys

    Dear all, As part of my MSc thesis I am using molecular dynamics simulation to study the pseudoelastic effect of Cu-Zr shape memory alloy during a tensile and shear tests. My question is related to the stress induced phase transformations during both tests. During the tensile test I can...
  25. Cocoleia

    3 phase Delta / Star : Line or Phase?

    Homework Statement I am studying for an exam and I never know if I am finding line current / voltage or phase current / voltage. How can I tell? I guess I am confused on what "phase" and "line" represent. For example: If I do the voltage divided by the impedance, then this gives me phase...
  26. S

    I What is the difference between phase space and state-space?

    In state space, the coordinates are the state variables of a system.So,each point in state space represents a specific value of state variables.Thus,state space representation represents the changes in a dynamical system. The state variables are the minimum number of variables which uniquely...
  27. M

    Question regarding phase shift between two signals

    Homework Statement Two sinusoidal voltages with amplitude 15Volts and frequency 2,771Hz are separated in time by 68% of a period. What is the phase shift in degrees between the two signals?Homework Equations y= Asin(omega)(x-h) The Attempt at a Solution I know my A is 15 and I'm pretty sure...
  28. T

    Phases of hydrocarbons in a compressed gas cylinder

    I'm currently in the process of selecting gas mixtures to calibrate a gas chromatograph. One of the gas mixtures I'm interested in has the following composition by percent volume: methane (CH4): 95% carbon dioxide (CO2): 1% butane (C4H10): 1% acetylene (C2H2): 1% nitrogen (N2): 2% The gas...
  29. PainterGuy

    Three phase AC concepts and problems

    Hi Problem: Three loads are connected in parallel across a 12.47 kV three-phase supply. Load 1: Inductive load, 60 kW and 660 kvar. Load 2: Capacitive load, 240 kW at 0.8 power factor. Load 3: Resistive load of 60 kW. (a) Find the total complex power, power factor, and the supply current. (b) A...
  30. grandpa2390

    Determine state of particle: Quantum Mechanics (Phase)

    Homework Statement Homework EquationsThe Attempt at a Solution This is the Solution. I am having trouble understanding parts of it. The first part I don't get is why the e^i... goes with the -z. Did my professor just choose one at random, or is there a specific reason? The second part...
  31. grandpa2390

    Question about phase factor in Quantum Mechanics

    Homework Statement I am trying to understand a solution to a problem. I may not need to post the entire question, I just need to know if ##-i = e^{\frac{-i*pi}{2}}## Homework EquationsThe Attempt at a Solution the reason for this question is that one step of the problem has a quantity...
  32. A

    A How can I plot a 3D phase space for a system of differential equations?

    Hi, i would like to know how can i plot a three dimentionnal phase space (mathematica), for this kind of differential equations: x'= (z^2(x-4y+z)+y^2(x+z)+z(x*y-x^2))/(z^2+x^2-2) y'=y(y-3)+z(4y-z)+3(1-x^2)-2(y-3z)(z^2(x-4y+z)+y^2(x+z)+z(x*y-x^2))/x(z^2+x^2-2)...
  33. J

    I Calculating Relativistic Phase and Group Velocity

    In Quantum Mechanics Concepts and Applications by Zettili the following formulas are used for phase and group velocities. {\rm{ }}{v_{ph}} = \frac{w}{k} = \frac{{E\left( p \right)}}{{p}}{\rm{ }}\\ {\rm{ }}{v_g} = \frac{{dw}}{{dk}}{\rm{ = }}\frac{{dE\left( p \right)}}{{dp}}{\rm{ }} In...
  34. H

    How water induces phase change of TiO2 after acid-etching?

    It is reported that TiO2 thin surface amorphous layer left after acid-etching with hot HCl-H2SO4 solution slowly changes from the original flat surface to a layer rich in nano-scale features (granules attached to the surface) of 20 ~ 30 nm in size. You can see these nano-features in the picture...
  35. B

    Berry phase of 1/2 spin in slowly rotating magnetic field

    Homework Statement Homework Equations This is the way to solve when magnetic field B is arbitrary direction one. The Attempt at a Solution I got a eigenvalue of this Hamiltonian and eigenstates. but i have no idea how to set a coordinate to value the gradient
  36. C

    A Symplectic geometry of phase space

    What is a symplectic manifold or symplectic geometry? (In intuitive terms please) I have a vague understanding that it involves some metric that assigns an area to a position and conjugate momentum that happens to be preserved. What is 'special' about Hamilton's formulation that makes it more...
  37. G

    What happens to the electric field's phase upon reflection?

    I have a problem with the phase of an electric field as it is reflected by and transmitted through a dielectric interface. At the boundary between the two media, all waves must exist simultaneously and the tangential component must be equal on both sides of the interface, right? Therefore for...
  38. A

    Inverse phase sound wave where does energy go?

    2 sound waves that are mathematical polarities cancel each other out according to my audio engineering book. I thought energy cannot be destroyed, just changed. Am I wrong? What happens to the energy? Same question could be applied to matter and anti matter right?
  39. H

    A Why electrical polarization can be expressed as Berry phase?

    Could we calculate (linear) electric polarizability from Berry phase?
  40. M

    Graduate level two phase flow boiling textbook

    I am looking for a graduate level textbook that would sufficiently describe the two phase flow characteristics during flow boiling. What textbook could I use to explore this topic? Is a graduate level forced convection going to cover two phase flow?
  41. T

    What is current return path in 230V European single phase

    My question is :what is the role of neutral conductor in the 230v European single-phase system .My assumption how it works that a neutral conductor serves to close the circuit between phases and to carry the imbalance current between different phases If all the phases are balanced then the...
  42. D

    Show that Temperature remains unchanged in phase changes

    Well, I have to show mathematically that T remains unchanged in phase change. I know it comes from sperimental evidences, but my professor asked to show it with "numbers". So I thought to go like this: (dH_l)/dt ≈ (dm)/dt) h_v + Q Energy balance for system (let's say it is liquid and changes...
  43. Marcin H

    Three Phase WYE - DELTA Problem

    Homework Statement Homework Equations Power Triangle and 3-phase equations (listed in my solutions) The Attempt at a Solution Here are the instructor solutions: The instructor solutions just go straight into using equations, but I like to use the power triangle because it is more...
  44. V

    I Inflation as a phase transition

    Hello, I have heard that one of most acceptable theory (or hypothesis) describing the inflation phase of universe is that energy to this stage is drawn from phase transition when strong interaction is separated from "preinteraction" (when all interactions were undistinguishable) Do you agree...
  45. A

    Is there an equation linking phase relation and properties in mantle?

    I have information about temperature, pressure, normal and shear stresses, viscosity, conductivity, density, heat capacity and adiabatic heating for a particular area of mantle in the form of 2D matrices. I want to show phase relation for this region of mantle. Is there an equation (group of...
  46. M

    Phase of refrigerant crossing heat exchanger devices

    When a refrigerant crosses a heat exchanger device or has some heat added into it, like condenser/evaporator or boiler/cooling tower, does the phase always change? If that's so, why? Or do we need to check if the temperature is above or under the boiling point?
  47. F

    Find the phase velocity of the wave (Plasma Physics)

    Homework Statement An electromagnetic wave with the frequency f = 1.4 GHz is propagating in the z-direction from vacuum in a plasma with the magnetic field B_0 = 0.1T z^. The plasma density is 1.0*10^17 particles/m^3. The wave is the separated into a R- and L-wave in the plasma. Homework...
  48. M

    Understanding Voltage Between Hot and Ground in Electrical Connections

    How exist voltage between hot and ground? How we are connected to ground through wood floor, building when we use tester screwdriver?
  49. Ken Gallock

    I Determinant problem in an article about QCD phase diagram

    Hi. I'm reading an article about QCD phase diagram. https://arxiv.org/abs/1005.4814. I want to derive eq(20), but I don't know how. Does anyone know how to derive this?
  50. Q

    Phase shift measurement using phase modulated signal

    Hello everyone, I'm actually working on developping a phase shift sensor using one phase modulated signal, i know that the title is confusing beaucause the phase shift measurement need two signals , I'm trying to do this with the zero crossing method so if I could found the timestamps of the...
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