doc/colloids.ipynb

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  {
   "cell_type": "markdown",
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   "source": [
    "# 二维胶粒设计\n",
    "+ slug: two-dimension-colloids-design\n",
    "+ date: 2015-09-15\n",
    "+ tags: soft matter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from deplete.segm import *\n",
    "from deplete.colloids import *\n",
    "from deplete.curve import Curve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Triangular colloids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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    "triangloid(1.4).draw(label=\"Circle\")\n",
    "triangloid(1.3, 1).draw(label=\"Arcs\")\n",
    "triangloid(1, 1, 0.1, 0.2).draw(label=\"Convex\")\n",
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   "source": [
    "## Basics\n",
    "+ `axis('equal');` will give a 1:1 scaling\n",
    "+ `.draw()` will draw the curve, with matplotlib arguments\n",
    "+ `.offset()` will offset/etch a colloid by a positive/negative offset argument\n",
    "+ `.shift()` will move a curve\n",
    "+ `.rotate()` will rotate curve about the origin\n",
    "+ `.area()` will compute area of colloid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
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     "text": [
      "The area of colloid is 2.483660510623751\n"
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     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "c=triangloid(1, 1, 0.2, -0.3)\n",
    "c.draw(label='Colloid')\n",
    "c.shift([2,-1]).draw(label='Shifted')\n",
    "c.rotate(pi/3).draw(label='Rotated')\n",
    "c.offset(0.1).draw('--', label='Offset')\n",
    "c.offset(-0.1).draw('--', label='Etched')\n",
    "legend();\n",
    "axis('equal');\n",
    "print(\"The area of colloid is {}\".format(c.area()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interaction between colloids\n",
    "+ The depletion potential is determined by intersection of offset boundaries\n",
    "+ `show_colloids()` will visualize the interaction between colloids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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   ],
   "source": [
    "c1=triangloid(1,0.5,0.2,0.4).rotate(pi/6)\n",
    "c2=triangloid(1,0.5,0.2,-0.4).rotate(-pi/6).shift([2.2, 0])\n",
    "show_colloids(c1, c2, 0.15, inter=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dart-shaped colloids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7efe4c0fc2b0>"
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     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "dartoid(0, 0.2).draw(label=\"Round\")\n",
    "dartoid(1, 0.2).shift([2,-2]).draw(label=\"Sharp\")\n",
    "dartoid(1, 0.4).shift([0,-2.1]).draw(label=\"Deep\")\n",
    "#dartoid(1, 1).draw(label=\"Convex\")\n",
    "#dartoid(0.8, 1).draw(label=\"Concave\")\n",
    "legend();\n",
    "axis('equal');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
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    "c1=dartoid(0, 2-sqrt(3)).rotate(pi/6)\n",
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    "show_colloids(c1, c2, 0.15, inter=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.14404994841823626"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "binding_energy(c1, c2, 0.15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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