lammps学习L-J势函数涉及各物理量单位体制

更新时间:2023-06-17 08:51:34 阅读: 评论:0

LJ势函数单位体制
Thelj/cutstyles compute the standard 12/6 Lennard-Jones potential, given by
   
Rc is the cutoff.
激励学习units lj
For stylelj, all quantities are unitless. Without loss of generality, LAMMPS ts the fundamental quantitiesmass, sigma, epsilon, and the Boltzmann constant = 1. The mass, distances, energies you specify aremultiples of the fundamental values. The formulas relating the reduced or unitless quantity (with anasterisk) to the same quantity with units is also given. Thus you can u the mass & sigma & epsilon valuesfor a specific material and convert the results from a unitless LJ simulation into physical quantities.
mass = mass or m •
distance = sigma, where x* = x / sigma •
time = tau, where t* = t (epsilon / m / sigma^2)^1/2 •
energy = epsilon, where E* = E / epsilon •
velocity = sigma/tau, where v* = v tau / sigma •
force = epsilon/sigma, where f* = f sigma / epsilon •
torque (力矩共享精灵)= epsilon, where t* = t / epsilon •
temperature = reduced LJ temperature, where T* = T Kb / epsilon •
pressure = reduced LJ pressure, where P* = P sigma^3 / epsilon •
•dynamic viscosity = reduced LJ viscosity, where eta* = eta sigma^3 / epsilon / tau
• charge = reduced LJ charge, where q* = q / (4 pi perm0 sigma epsilon)^1/2
• dipole = reduced LJ dipole, moment where *mu = mu / (4 pi perm0 sigma^3 epsilon)^1/2
• electric field = force/charge, where E* = E (4 pi perm0 sigma epsilon)^1/2 sigma / epsilon
• density = mass/volume, where rho* = rho sigma^dim
Lamps中的LJ单位问题
LJ单位
mass,即1mass相当于
sigma,即1sigma相当于
epsilon,即1epsilon相当于
那么根据manual里面的dipole的解释,即:
dipole = reduced LJ dipole, moment where *mu = mu / (4 pi perm0 sigma^3 epsilon)^1/2
所以1dipole相当于 (4 pi perm0 sigma^3 epsilon)^1/2
即:
根据您的解释,这里的perm0应该也是一个约化单位,即perm0=1,但在计算的过程中要转化成实际单位,故应该此处的,也只有这样,dipole的量纲分析才正确。那么:姐姐的菊花
lattice command
Syntax:
lattice style scale keyword values ...
• style =noneorscorbccorfccorhcpordiamondorsqorsq2orhexorcustom
• scale = scale factor between lattice and simulation box
scale = reduced density rho* (for LJ units)
scale = lattice constant in distance units (for all other units)
我就知道那是爱
曾海英For all unit styles exceptlj, the scale argument is specified in the distance units defined by the unit style. Forexample, inrealormetalunits, if the unit cell is a unit cube with edge length 1.0, specifying scale = 3.52would create a cubic lattice with a spacing of 3.52 Angstroms. Incgsunits, the spacing would be 3.52 cm.
For unit style lj, the scale argument is the Lennard-Jones reduced density, typically written as rho*. LAMMPS converts this value into the multiplicative factor via the formula "factor^dim = rho/rho*", where rho = N/V with V = the volume of the lattice unit cell and N = the number of basis atoms in the unit cell (described below), and dim = 2 or 3 for the dimensionality of the simulation. Effectively, this means that if LJ particles of size sigma = 1.0 are ud in the simulation, the lattice of particles will be at the desired reduced density.
对于lj单元,scale是 Lennard-Jones折算密度,典型写为 rho*。Lammps通过公式"factor^dim = rho/rho*"将这个值转变为倍增因子。Rho=N/V,v=晶格单元的体积,n=晶胞中基本原子的数量,dim根据模拟的维度等于2或者3。实际上这表明如果在模拟中使用的lj粒子的sigma=1.0,那么晶格中的粒子将会有预期的折算密度。
Thermo输出量
The content and format of what is printed is controlled by the thermo_styleand thermo_modifycommands.
thermo_style
Default:
thermo_style one
Styleoneprints a one-line summary of thermodynamic info that is the equivalent of "thermo_style customstep temp epair emol etotal press". The line contains only numeric values.
All styles exceptcustomhavevolappended to their list of outputs if the simulation box volume changes.
during the simulation.
珠子
thermo_style customstep temp epair emol etotal press
1937年7月7日custom:style
step = timestep
temp = temperature
发带怎么戴epair = pairwi energy (evdwl + ecoul + elong + etail)
emol = molecular energy (ebond + eangle + edihed + eimp)

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