How can we execute a log file from pg_xlogs directory postgresql? Is it possible to execute a Wal log that is copied from a machines pg_xlogs directory and all the queries inside it are executed on another machine? What command might be used to carry out this action (if there is any command)?
No, it doesn't work like that.

The transaction logs don't contain queries. They contain the changes to disk blocks - heap and indexes - along with records of transaction ID allocations, commits, etc. It's all very low level, and it makes absolutely no sense to try to apply it to another unrelated PostgreSQL instance.

You can use the transaction logs (WAL) for replication, per the PostgreSQL manual.

PostgreSQL also has the beginnings of logical replication functionality. Currently that's mainly accessible via 3rd party tools like pglogical. There are trigger-based alternatives like Londiste too.