Since you are using 11gr2 you can go with datapump option with parallel clause.
The transportable tablespace might be an option if and only if the schema you want to export is in consistent tablespace(s) not shared with other schemas. The schema must exist on target, it error out otherwise (unless remap_schemas is in use). And of course, you should commit with all the limitations.
Find out more: Managing Tablespaces
I only want to export a schema and this schema does not exist yet on my destination environment.
Read this documentation: 3 Data Pump Import
Remap Schema will be useful.