How can I log to a different file depending on its name

How can I log to a different file depending on its name

I want to be able to do:
// A logger.
private static final Logger log = LoggerFactory.getLogger(Foo.class);
// Stats logger.
private static final Logger stats = LoggerFactory.getLogger("Stats");
Whenever I log to stats (stats.info(...)) I want the log entries to go to
a file called Stats.log. Logging to log should act normal.
I have (probably wrongly) got the following in Logback.xml:
<configuration>
<appender name="STATS" class="ch.qos.logback.core.FileAppender">
<file>Stats.log</file>
<rollingPolicy
class="ch.qos.logback.core.rolling.TimeBasedRollingPolicy">
<!-- rollover daily -->
<FileNamePattern>Stats.%d{yyyy-MM-dd}.%i.log.zip</FileNamePattern>
<!-- or whenever the file size reaches 1MB -->
<timeBasedFileNamingAndTriggeringPolicy
class="ch.qos.logback.core.rolling.SizeAndTimeBasedFNATP">
<maxFileSize>1MB</maxFileSize>
</timeBasedFileNamingAndTriggeringPolicy>
<!-- Check on startup too. -->
<cleanHistoryOnStart>true</cleanHistoryOnStart>
</rollingPolicy>
<encoder>
<pattern>%date %msg</pattern>
</encoder>
</appender>
<appender name="FILE" class="ch.qos.logback.core.FileAppender">
<file>Log.log</file>
<rollingPolicy
class="ch.qos.logback.core.rolling.TimeBasedRollingPolicy">
<!-- rollover daily -->
<FileNamePattern>Log.%d{yyyy-MM-dd}.%i.log.zip</FileNamePattern>
<!-- or whenever the file size reaches 1MB -->
<timeBasedFileNamingAndTriggeringPolicy
class="ch.qos.logback.core.rolling.SizeAndTimeBasedFNATP">
<maxFileSize>1MB</maxFileSize>
</timeBasedFileNamingAndTriggeringPolicy>
<!-- Check on startup too. -->
<cleanHistoryOnStart>true</cleanHistoryOnStart>
</rollingPolicy>
<encoder>
<pattern>%date %level [%thread] %logger{10} [%file:%line]
%msg%n</pattern>
</encoder>
</appender>
<appender name="STDOUT" class="ch.qos.logback.core.ConsoleAppender">
<encoder>
<pattern>%level %msg%n</pattern>
</encoder>
</appender>
<root level="debug">
<appender-ref ref="FILE" />
<appender-ref ref="STATS" />
<appender-ref ref="STDOUT" />
</root>
</configuration>
I don't seem to be able to find anything that tells me how to select an
appender based on the logger name. There's plenty for choosing based on
the log level.