Calling conventions defines how parameters are passed in the registers when calling or being called by other program. And the best source of these convention is in the form of ABI standards defined for each these hardware. For ease of compilation, the same ABI is also used by userspace and kernel program. Linux/Freebsd follow the same ABI for x86-64 and another set for 32-bit. But x86-64 ABI for Windows is different from Linux/FreeBSD. And generally ABI does not differentiate system call vs normal "functions calls". Ie, here is a particular example of x86_64 calling conventions and it is the same for both Linux userspace and kernel: http://eli.thegreenplace.net/2011/09/06/stack-frame-layout-on-x86-64/ (note the sequence a,b,c,d,e,f of parameters):
Performance is one of the reasons for these ABI (eg, passing parameters via registers instead of saving into memory stacks)
For ARM there is various ABI:
http://infocenter.arm.com/help/index.jsp?topic=/com.arm.doc.subset.swdev.abi/index.html
ARM64 convention:
http://infocenter.arm.com/help/topic/com.arm.doc.ihi0055b/IHI0055B_aapcs64.pdf
For Linux on PowerPC:
http://refspecs.freestandards.org/elf/elfspec_ppc.pdf
http://www.0x04.net/doc/elf/psABI-ppc64.pdf
And for embedded there is the PPC EABI:
http://www.freescale.com/files/32bit/doc/app_note/PPCEABI.pdf
This document is good overview of all the different conventions: