Samsung has been launching the dual SIM versions of it's many recent launched phones, and so it appears that the Note 3 won't be an exception too. And also there have been some leaked images of the Dual SIM variant of the device which might be coming to china in a short time.
As as off now going by the leaked images, the Samsung Galaxy Note 3 Dual SIM version, would be having a Snapdragon 800 chipset, along with a 4 Krait 400 cores clocked at 2.3 GHz and also an Adreno 330 GPU. Also the dual SIM phone had been tested on AnTuTu Benchmarks, and it performed a Dazzling score of about 31,276. Though it's a bit short than the original version of the phone, but for a dual SIM phone these scores and pretty convincing.
But as off now there has been no firmware confirmed yet. Also according to the leak it would be one of the four version of the Note 3 that would be made available in china. Besides the Dual SIM functionality there won't be any difference in any other specifications whatsoever.