Discontinued App

Physics to Go! Part 2

Physics to Go! Part 2 - spin systems 2 to 4 dimensions
 The app calculates an interacting system of spins (or magnets), including the well-known Ising ...

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Physics to Go! Part 2 - spin systems 2 to 4 dimensions
 The app calculates an interacting system of spins (or magnets), including the well-known Ising model as well as more complex systems. You can choose the system size for up to 4 dimensions. The updating of the spins is done by a standard Monte-Carlo heatbath algorithm. Various options for the spin-spin interaction are given. The coupling strength as well as a constant external field (acting in the vertical direction) can be specified. 
The controls on the main page are:    
   system size: set the number of   in 2 to 4 directions (for a 2-dim   system set nz and nt to 1). The total   number of spins in the system is   nx*ny*nz*nt.   coupling: set the coupling strength   between the spins (more accurately   the coupling divided by the   temperature). By changing the sign of   the coupling the system tries to align   spins in parallel (ferromagnetic) or   anti-parallel (anti-ferromagnetic   direction.
    # spins: you can set the number of    possible spin directions. The choice    of 2 corresponds to the Ising model    (spin-up or spin-down). 4 means    there are 4 possible directions (up,    down, left, right) and so on.
   field: set the strength of a constant    field pointing into the vertical    direction. The spins try to align in this    direction.
   plot cycles: you can determine after    how many update cycles the new    spin configurations is plotted on the    screen.
   You can choose to periodically    change the coupling strength or    the external field. Specify the    amount of change and the frequency    of the update. With this option you    can study phase transitions from    disordered to ordered (spin-aligned)    states. You can observe different    transition behaviour depending on    the number of dimensions or the type  of interaction between the spins.   
   There are several possibilites of    interactions between spins. The    "nearest neighbour" choice    corresponds to the Ising model.    You can also add the interaction of    the spins with the diagonally adjacent    neighbours. For the other two choices    the spins interact will all other spins    in the system. The interaction    strength falls off either like 1 over    distance (Coulomb potential) or    exp(-distance) over distance (Yukawa    potential).
    By choosing "ordered" or "random"    you initialize the directions of the    spins either as all aligned or    randomly chosen. 
 With "Turn" you reach the plot area.
   The averaged value of the spins    (magnetization) and the standard    deviation as well as the current value    of the coupling and external field    is shown. 
   Below is the plotting frame showing    the spins. The direction of the spins    is shown by the direction of the    symbols as well as the color.    Below this area the spin, averaged    over the system is displayed, where    the direction is given by the spin    orientation and the size of the symbol    represents the absolute value of the    magnetization.
    In the lower panel the current    magnetization as well as the average    value is    shown.
    You start the updating of the spins    by touching "Plot" (interrupt the    calculation at any time by touching    the panel again). Touching "Clear"    clears the plotting area for the    averaged magnetization.


Technical specifications

Version: 1.0

Size: 144.97 KB


Price: $ 0.00

Developed by waffi.com

Day of release: 2010-03-10

Recommended age: 4+

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