Step 1:
Open a new document with any size, and fill background layer (Use Paint Bucket Tool 
)
with white color: #ffffff.
Add the nois filter, Filter > Noise > Add Noise, with these parameters: Amount 400%, Distribution Gaussian .
Image 1
Step 2:
Now, go to: Filter > Blur > Motion Blur, Angle: 90°, Distance: 999 Pixels.
Image 2
Step 3:
Then, go to Image > Adjustments > Brightness/Contrast, put this: +20, +30.
Image 3
Step 4:
Go to Image > Adjustments > Curves, you must regulate the line as in figure, take care, this foot step influences a lot the final result.
Image 4 (Click to enlarge)
This is my final result, if you apply some modifics you can get a result similar to this:
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